In Ricordo Di

Total Page:16

File Type:pdf, Size:1020Kb

In Ricordo Di IN RICORDO DI Bruno Zumino (1923-2014) Bruno Zumino was awarded the “Enrico Fermi” Prize of the Italian Physical Society in 2005. Courtesy of Mary K.Gaillard Bruno Zumino died in his home at Berkeley, 95% of the total mass-energy of the Universe. so-called Wess-Zumino Lagrangian. California, on June, 22nd 2014, at the age of 91. Supersymmetry is a strong candidate for As a final part of this tribute to Bruno Zumino He was an Emeritus Professor at Berkeley Physics beyond the Standard Model and even if I would like to make some personal University since 1994 and his name is today no particles predicted by this symmetry recollections. I had the privilege of being his mainly associated with the formulation of have been detected, there is still hope that they closest collaborator after J . Wess, with fourteen supersymmetry in our four-dimensional will show up in the TeV mass range, when the jointly published papers. This joint activity space- time. Supersymmetry is a highly Large Hadron Collider (LHC) at CERN reaches the covered different epochs of my career, from the non-trivial extension of the relativistic symmetry highest project energy (14 TeV). time of my Fellowships at CERN to the time of of elementary particle interactions, called Two years later, in 1976, supersymmetry my senior and distinguished status (at CERN Poincaré symmetry, which, among other was combined with the gravitational force, and UCLA). I was proud to share with him and things, leads to the conservation of energy and giving birth to supergravity and its stunning Gabriele Veneziano (CERN and Collège de momentum. Supersymmetry transforms bosons developments, including superstring theory France) the 2005 Enrico Fermi Prize awarded by into fermions and vice versa and it makes it and M-theory. The original formulation of the Italian Physical Society. When I visited him possible by the introduction of extra “fermionic” supergravity, by Dan Freedman (MIT), Peter van in 2008, as a Miller visiting professor at Berkeley, anticommuting dimensions then extending Nieuwenhuizen (Stony Brook) and myself (at the we started again to collaborate on aspects of ordinary relativistic Minkowski space-time to time at INFN-LNF, Frascati and Ecole Normale duality applied to Black Holes and in fact the last Superspace, a concept later introduced by the Supérieure) was soon followed by an elegant papers of his life were written together with me. late Nobel Laureate Abdus Salam (Imperial formulation by Bruno Zumino and Stanley His last trip to Europe, to attend a conference College and ITCP) and James Strathdee (ICTP). Deser ( Brandeis) using the so-called first-order as invited speaker, was in the summer of 2011, In his pioneering work with the Austrian formalism. on the occasion of the celebration of the 80th physicist Julius Wess, done when he was a In his last year at CERN Zumino, with Berkeley birthday of Raymond Stora, his friend and senior staff member at CERN (1968-1981), Bruno physicist Mary K. Gaillard, collaborated in a collaborator. In the proceedings of that meeting, Zumino formulated the first four-dimensional pioneering work on the application of duality a joint study with Stora on the algebraic quantum field theory, called the Wess-Zumino to field theories. Duality, a generalization of approach to anomalies was reported. model, and proved his renormalizability. “electric magnetic duality” which exchanges In May 2013, a conference in his honour, Infinities of perturbation theory were actually electric fields with magnetic fields, plays celebrating his 90th birthday, took place at shown to be milder than in non-supersymmetric a fundamental role in connecting diverse Berkeley. Many distinguished physicists spoke theories then giving rise to the so-called formulations of string theory and in relating on his behalf, including Fields Medalist E. Witten “non-renormalization theorems” whose weakly-coupled theories in one formulation to and Nobel Laureate S. Weinberg. Unfortunately original appearance was in papers written in strongly-coupled theories in other formulations. he became ill just before the beginning of the mid- seventies in several collaborations Going back to Zumino’s early life. He was born the meeting and he could only come to the with Wess, Jean Iliopoulos (Ecole Normale in Rome, Italy on 28th April 1923 and graduated inaugural banquet, where he sat near me. That Supérieure, Paris) and myself, at the time a CERN in Physics at the University of Rome in 1945. was the last occasion I saw him. post-doctoral Fellow. In his early years, when in Göttingen, he wrote Bruno Zumino won many other prestigious In a joint collaboration we solved the important papers, together with Gerhart Luders, International Prizes, among them the Dirac problems of combining supersymmetry with on the consequences of the CPT theorem in Medal (1987), the APS Dannie Heineman Prize non-Abelian (Yang-Mills) gauge symmetry, relativistic quantum field theories. Then, in (1988), the 1989 Max Planck Medal, the 1992 then opening the way to apply supersymmetry 1951, he moved to New York University where Wigner Medal and the 1999 Giancarlo Wick Gold to the fundamental non-gravitational forces, the he remained until 1968 (also as Chair of the Medal. electroweak and strong interactions. Physics Department) when he joined the Theory He is survived by his wife Mary K. Gaillard and The case of supersymmetry for our Division at CERN. three stepchildren. low-energy world was mostly advocated to In those years he wrote important He leaves an enormous legacy and he will solve the so-called naturalness and hierarchy papers on “Field Algebras” with the Nobel be remembered for his achievements by future problems, but other important areas where Laureate T. D. Lee and on “phenomenological generations. I sincerely hope that his predictions supersymmetry could play an important role is Lagrangians” with S. Coleman (Harward), J. Wess and discoveries will be proved by Nature. in the formulation of Grand Unified Theories and (Karlsruhe) and C. G. Callan (Princeton). When he in providing some candidates for Dark Matter, moved to CERN he then wrote a fundamental Sergio Ferrara a form of elusive matter not reactant to light paper with J. Wess on the treatment of local CERN, Geneva, Switzerland which, together with dark energy, makes up gauge anomalies and the introduction of the .
Recommended publications
  • Curriculum Vitae Dr
    Curriculum Vitae Dr. rer. nat. Michael Wohlgenannt Universit´adel Piemonte Orientale Facolt´adi Scienze M.F.N. Dipartimento di Scienze e Tecnologie Avanzate Via Bellini 25/G, I-15100 Alessandria, Italy. Tel.: +39-0131-360163 [email protected] Personal data Date of birth: April 1, 1974 Place of birth: Dornbirn, Austria Nationality: Austrian Languages: German (mother tongue), English (fluent). Education Ludwig-Maximilians-Universit¨at M¨unchen, 1999 - 2003 Doctor rerum naturalium in mathematical physics - with magna cum laude Advisor: Prof. Julius Wess Thesis: Field Theoretical Models on Non-Commutative Spaces Karl-Franzens-Universit¨at Graz, 1992 - 1998 Magister Rerum Naturalium in theoretical physics - mit Auszeichnung Advisor: Prof. Christian B. Lang Thesis: The Schwinger Model - From Strong Coupling to Fixed-Point Actions University of Kent at Canterbury, 1994 - 1995 Diploma in Physics (B.Sc.) - with Distinction Tutor: Prof. John Rogers Theoretical essay: Non-Linear Coupled Pendulum 1 Experience Universita degli studi del Piemonte Orientale, Alessandria (Italy), from June 2008, Postdoctoral position Universit¨at Wien, from Jan 2008 - May 2008 Postdoctoral position, Fonds zur F¨orderung der wissenschaftlichen Forschung (Austrian Science Fund) project P20017-N16 The Erwin Schr¨odinger International Institute for Mathematical Physics, Vienna, July 2007 - Jan 2008 Junior Research Fellow Universit¨at Wien, Jan 2006 - Jun 2007 Postdoctoral position, Fonds zur F¨orderung der wissenschaftlichen Forschung (Austrian Science Fund)
    [Show full text]
  • Supergravity and Its Legacy Prelude and the Play
    Supergravity and its Legacy Prelude and the Play Sergio FERRARA (CERN – LNF INFN) Celebrating Supegravity at 40 CERN, June 24 2016 S. Ferrara - CERN, 2016 1 Supergravity as carved on the Iconic Wall at the «Simons Center for Geometry and Physics», Stony Brook S. Ferrara - CERN, 2016 2 Prelude S. Ferrara - CERN, 2016 3 In the early 1970s I was a staff member at the Frascati National Laboratories of CNEN (then the National Nuclear Energy Agency), and with my colleagues Aurelio Grillo and Giorgio Parisi we were investigating, under the leadership of Raoul Gatto (later Professor at the University of Geneva) the consequences of the application of “Conformal Invariance” to Quantum Field Theory (QFT), stimulated by the ongoing Experiments at SLAC where an unexpected Bjorken Scaling was observed in inclusive electron- proton Cross sections, which was suggesting a larger space-time symmetry in processes dominated by short distance physics. In parallel with Alexander Polyakov, at the time in the Soviet Union, we formulated in those days Conformal invariant Operator Product Expansions (OPE) and proposed the “Conformal Bootstrap” as a non-perturbative approach to QFT. S. Ferrara - CERN, 2016 4 Conformal Invariance, OPEs and Conformal Bootstrap has become again a fashionable subject in recent times, because of the introduction of efficient new methods to solve the “Bootstrap Equations” (Riccardo Rattazzi, Slava Rychkov, Erik Tonni, Alessandro Vichi), and mostly because of their role in the AdS/CFT correspondence. The latter, pioneered by Juan Maldacena, Edward Witten, Steve Gubser, Igor Klebanov and Polyakov, can be regarded, to some extent, as one of the great legacies of higher dimensional Supergravity.
    [Show full text]
  • Jul/Aug 2013
    I NTERNATIONAL J OURNAL OF H IGH -E NERGY P HYSICS CERNCOURIER WELCOME V OLUME 5 3 N UMBER 6 J ULY /A UGUST 2 0 1 3 CERN Courier – digital edition Welcome to the digital edition of the July/August 2013 issue of CERN Courier. This “double issue” provides plenty to read during what is for many people the holiday season. The feature articles illustrate well the breadth of modern IceCube brings particle physics – from the Standard Model, which is still being tested in the analysis of data from Fermilab’s Tevatron, to the tantalizing hints of news from the deep extraterrestrial neutrinos from the IceCube Observatory at the South Pole. A connection of a different kind between space and particle physics emerges in the interview with the astronaut who started his postgraduate life at CERN, while connections between particle physics and everyday life come into focus in the application of particle detectors to the diagnosis of breast cancer. And if this is not enough, take a look at Summer Bookshelf, with its selection of suggestions for more relaxed reading. To sign up to the new issue alert, please visit: http://cerncourier.com/cws/sign-up. To subscribe to the magazine, the e-mail new-issue alert, please visit: http://cerncourier.com/cws/how-to-subscribe. ISOLDE OUTREACH TEVATRON From new magic LHC tourist trail to the rarest of gets off to a LEGACY EDITOR: CHRISTINE SUTTON, CERN elements great start Results continue DIGITAL EDITION CREATED BY JESSE KARJALAINEN/IOP PUBLISHING, UK p6 p43 to excite p17 CERNCOURIER www.
    [Show full text]
  • CERN Inaugurates LHC Cyrogenics
    FACES AND PLACES SYMPOSIUM CERN inaugurates LHC cyrogenics Inauguration and ribbon-cutting ceremony of LHC cryogenics by CERN officials: from left, Giorgio Passardi, leader of cryogenics for experiments group; Philippe Lebrun, head of the accelerator Members of the CERN cryogenic groups in front of the Globe of technology department; Giorgio Brianti, founder of the LHC Science and Innovation, where the symposium took place. (Globe project; Lyn Evans, LHC project leader and Laurent Tavian, leader conception T Buchi, Charpente Concept and H Dessimoz, Group H.) of the cryogenics for accelerators group. The beginning of June saw the start of a coils operating at 1.9 K. Besides enhancing Tennessee. Although the commissioning new phase at the LHC project, with the the performance of the niobium-titanium work is far from finished, the cyrogenics inauguration of LHC cryogenics. This was superconductor, this temperature regime groups at CERN felt that after 10 years of marked with a symposium in the Globe makes use of the excellent heat-transfer construction it was now a good time to of Science and Innovation attended by properties of helium in its superfluid state. celebrate, organizing the Symposium for the 178 representatives of the research The design for the LHC cryogenics had to Inauguration of LHC Cryogenics that took institutes involved and industrial partners. incorporate both newly ordered and reused place on 31 May-1 June at CERN's Globe of It also coincided with the stable low- refrigeration plant from LEP operating Science and Innovation. After an inaugural temperature operation of the cryogenic plant at 4.5 K – together with a second stage address by CERN’s director-general, for sector 7–8, the first sector to be cooled operating at 1.9 K – in a system that could Robert Aymar, the programme included down (CERN Courier May 2007 p5).
    [Show full text]
  • Institut Des Hautes Ét Udes Scientifiques
    InstItut des Hautes É t u d e s scIentIfIques A foundation in the public interest since 1981 2 | IHES IHES | 3 Contents A VISIONARY PROJECT, FOR EXCELLENCE IN SCIENCE P. 5 Editorial P. 6 Founder P. 7 Permanent professors A MODERN-DAY THELEMA FOR A GLOBAL SCIENTIFIC COMMUNITY P. 8 Research P. 9 Visitors P. 10 Events P. 11 International INDEPENDENCE AND FREEDOM, ­­ THE INSTITUTE’S TWO OPERATIONAL PILLARS P. 12 Finance P. 13 Governance P. 14 Members P. 15 Tax benefits The Marilyn and James Simons Conference Center The aim of the Foundation known as ‘Institut des Hautes Études Scientifiques’ is to enable and encourage theoretical scientific research (…). [Its] activity consists mainly in providing the Institute’s professors and researchers, both permanent and invited, with the resources required to undertake disinterested IHES February 2016 Content: IHES Communication Department – Translation: Hélène Wilkinson – Design: blossom-creation.com research. Photo Credits: Valérie Touchant-Landais / IHES, Marie-Claude Vergne / IHES – Cover: unigma All rights reserved Extract from the statutes of the Institut des Hautes Études Scientifiques, 1958. 4 | IHES IHES | 5 A visionary project, for excellence in science Editorial Emmanuel Ullmo, Mathematician, IHES Director A single scientific program: curiosity. A single selection criterion: excellence. The Institut des Hautes Études Scientifiques is an international mathematics and theoretical physics research center. Free of teaching duties and administrative tasks, its professors and visitors undertake research in complete independence and total freedom, at the highest international level. Ever since it was created, IHES has cultivated interdisciplinarity. The constant dialogue between mathematicians and theoretical physicists has led to particularly rich interactions.
    [Show full text]
  • Radiotélescopes Seek Cosmic Rays
    INTERNATIONAL JOURNAL OF HIGH-ENERGY PHYSICS CERN COURIER Radiotélescopes seek cosmic rays COMPUTING MEDICAL IMAGING NUCLEAR MASSES Information technology and Spin-off from particle physics Precision measurements from physics advance together pl6 wins awards p23 accelerator experiments p26 Multichannel GS/s data acquisition systems used For more information, to be expensive. They also would fill up entire visit our Web site at www.acqiris.com instrument racks with power-hungry electronics. But no more. We have shrunk the size, lowered 1)Rackmount kit available the cost, reduced the power consumption and incorporated exceptional features such as clock synchronization and complete trigger distribution.1) A single crate (no bigger than a desktop PC) can house up to 24 channels at 500MS/S or 1 GS/s when deploying an embedded processor, or up to 28 channels (14 at 2GS/s) using a PCI interface. CONTENTS Covering current developments in high- energy physics and related fields worldwide CERN Courier is distributed to Member State governments, institutes and laboratories affiliated with CERN, and to their personnel. It is published monthly except January and August, in English and French editions. The views expressed are not CERN necessarily those of the CERN management. Editor: Gordon Fraser CERN, 1211 Geneva 23, Switzerland E-mail [email protected] Fax +41 (22) 782 1906 Web http://www.cerncourier.com News editor: James Gillies COURIER VOLUME 41 NUMBER 3 APRIL 2001 Advisory Board: R Landua (Chairman), F Close, E Lillest0l, H Hoffmann, C Johnson,
    [Show full text]
  • Reflections on the Renormalization Procedure for Gauge Theories
    Reflections on the renormalization procedure for gauge theories Gerard ’t Hooft Institute for Theoretical Physics EMMEΦ Centre for Extreme Matter and Emergent Phenomena Science Faculty Utrecht University POBox 80.195 3808TD, Utrecht The Netherlands Internet: http://www.staff.science.uu.nl/˜hooft101/ In memory of Raymond Stora 1930 – 2015 Abstract Various pieces of insight were needed to formulate the rules for working with gauge theories of the electro-magnetic, weak and strong forces. First, it was needed to understand how to formulate the Feynman rules. We had to learn that there are many different ways to derive them, and it was needed to know arXiv:1604.06257v1 [hep-th] 21 Apr 2016 how different formulations of the gauge constraint lead to the same final re- sults: the calculated values of the scattering amplitudes. The rules for dealing with the infinities that had to be subtracted were a big challenge, culminating in the discovery of the Becchi-Rouet-Stora-Tyutin symmetry. Fond recollec- tions of the numerous discussions the author had with Raymond Stora on this topic are memorised here. We end with some reflections on the mathematical status of quantum field theories, and a letter sent by Stora to the author. Version: March 2016 Last typeset: April 22, 2016 1 1 Introduction Around the year 1970, rapid changes took place in our views of elementary particle physics, and in particular the role of local gauge theories and spontaneous symmetry breaking in these theories. For a long time, only few researchers had been convinced that quantum field theory was the way to go.
    [Show full text]
  • Born-Infeld Action, Supersymmetry and String Theory
    Imperial/TP/98-99/67 hep-th/9908105 Born-Infeld action, supersymmetry and string theory ⋆ A.A. Tseytlin † Theoretical Physics Group, Blackett Laboratory, Imperial College, London SW7 2BZ, U.K. Abstract We review and elaborate on some aspects of Born-Infeld action and its supersymmetric generalizations in connection with string theory. Contents: BI action from string theory; some properties of bosonic D = 4 BI action; = 1 and = 2 supersymmetric BI actions with manifest linear D = 4 supersymmetry; four-derivativeN N terms in = 4 supersymmetric BI action; BI actions with ‘deformed’ supersymmetry from D-braneN actions; non-abelian generalization of BI action; derivative corrections to BI action in open superstring theory. arXiv:hep-th/9908105v5 11 Dec 1999 To appear in the Yuri Golfand memorial volume, ed. M. Shifman, World Scientific (2000) August 1999 ⋆ e-mail address: [email protected] † Also at Lebedev Physics Institute, Moscow. 1. Introduction It is a pleasure for me to contribute to Yuri Golfand’s memorial volume. I met Yuri several times during his occasional visits of Lebedev Institute in the 80’s. Two of our discussions in 1985 I remember quite vividly. Golfand found appealing the interpretation of string theory as a theory of ‘quantized coordinates’, viewing it as a generalization of some old ideas of noncommuting coordinates. In what should be an early spring of 1985 he read our JETP Letter [1] which was a brief Russian version of our approach with Fradkin [2] to string theory effective action based on representation of generating functional for string amplitudes as Polyakov string path integral with a covariant 2-d sigma model in the exponent.
    [Show full text]
  • Reflections on the Renormalization Procedure for Gauge Theories
    Available online at www.sciencedirect.com ScienceDirect Nuclear Physics B 912 (2016) 4–14 www.elsevier.com/locate/nuclphysb Reflections on the renormalization procedure for gauge theories Gerard ’t Hooft Institute for Theoretical Physics, EMMEΦ, Centre for Extreme Matter and Emergent Phenomena, Science Faculty, Utrecht University, P.O. Box 80.195, 3808TD, Utrecht, The Netherlands Received 4 April 2016; accepted 6 April 2016 Available online 12 April 2016 Editor: Hubert Saleur In memory of Raymond Stora 1930–2015 Abstract Various pieces of insight were needed to formulate the rules for working with gauge theories of the electro-magnetic, weak and strong forces. First, it was needed to understand how to formulate the Feynman rules. We had to learn that there are many different ways to derive them, and it was needed to know how different formulations of the gauge constraint lead to the same final results: the calculated values of the scattering amplitudes. The rules for dealing with the infinities that had to be subtracted were a big chal- lenge, culminating in the discovery of the Becchi–Rouet–Stora–Tyutin symmetry. Fond recollections of the numerous discussions the author had with Raymond Stora on this topic are memorised here. We end with some reflections on the mathematical status of quantum field theories, and the transcription of a letter by R. Stora to the author. © 2016 The Author. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3. 1. Introduction Around the year 1970, rapid changes took place in our views of elementary particle physics, and in particular the role of local gauge theories and spontaneous symmetry breaking in these theories.
    [Show full text]
  • Dyson, Feynman, Schwinger, and Tomonaga
    QED and the Men Who Made It: Dyson, Feynman, Schwinger, and Tomonaga Silvan S. Schweber Princeton University Press Princeton, New Jersey Copyright ©1994 by Princeton University Press Published by Princeton University Press, 41 William Street, Princeton, New Jersey 08540 In the United Kingdom: Princeton University Press, Chichester, West Sussex All Rights Reserved Library of Congress Cataloging-in-Publication Data Schweber, S. S. (Silvan S.) QED and the men who made it : Dyson, Feynman, Schwinger, and Tomonaga / Silvan S. Schweber. p. cm. - (Princeton series in physics) Includes bibliographical references and index. ISBN 0-691-03685-3; (pbk) 0-691-03327-7 1. Quantum electrodynamics—History. 2. Physicists—Biography. I. Title. II. Series. QC680.S34 1944 93-33550 537.6'7'09—<lc20 This book has been composed in TIMES ROMAN and KABEL Princeton University Press books are printed on acid-free paper, and meet the guidelines for permanence and durability of the Committee on Production Guidelines for Book Longevity of the Council on Library Resources Printed in the United States of America 10 9 8 7 ISBN-13: 978-0-691-03327-3 ISBN-10: 0-691-03327-7 QED and the Men Who Made It PRINCETON SERIES IN PHYSICS Edited by Philip W. Anderson, Arthur S. Wightman, and Sam B. Treiman (published since 1976) Studies in Mathematical Physics: Essays in Honor of Valentine Bargmann edited by Elliott H. Lieb, B. Simon, and A. S. Wightman Convexity in the Theory of Lattice Gasses by Robert B. Israel Works on the Foundations of Statistical Physics by N. S. Krylov Surprises in Theoretical Physics by Rudolf Peierls The Large-Scale Structure of the Universe by P.
    [Show full text]
  • On the Generalized Geometry Origin of Noncommutative Gauge Theory
    Published for SISSA by Springer Received: March 25, 2013 Accepted: July 4, 2013 Published: July 22, 2013 On the generalized geometry origin of JHEP07(2013)126 noncommutative gauge theory Branislav Jurˇco,a,b Peter Schuppc and Jan Vysok´yc,d aMathematical Institute, Faculty of Mathematics and Physics, Charles University, Prague 186 75, Czech Republic bCERN, Theory Division, CH-1211 Geneva 23, Switzerland cJacobs University Bremen, 28759 Bremen, Germany dCzech Technical University in Prague, Faculty of Nuclear Sciences and Physical Engineering, Prague 115 19, Czech Republic E-mail: [email protected], [email protected], [email protected] Abstract: We discuss noncommutative gauge theory from the generalized geometry point of view. We argue that the equivalence between the commutative and semiclassically noncommutative DBI actions is naturally encoded in the generalized geometry of D-branes. Keywords: D-branes, Non-Commutative Geometry, Differential and Algebraic Geometry, Sigma Models Dedicated to Bruno Zumino on the occasion of his 90th birthday Open Access doi:10.1007/JHEP07(2013)126 Contents 1 Introduction 1 2 Generalized geometry 3 2.1 Fiberwise metric, generalized metric 3 2.2 Factorizations of generalized metric, open-closed relations 6 2.3 Dorfman bracket, Dirac structures, D-branes 7 JHEP07(2013)126 3 Gauge field as an orthogonal transformation of the generalized metric 8 4 Non-topological Poisson-sigma model and Polyakov action 10 5 Seiberg-Witten map 11 6 Noncommutative gauge theory and DBI action 12 1 Introduction Generalized geometry [1, 2] recently appeared to be a powerful mathematical tool for the description of various aspects of string and field theories.
    [Show full text]
  • Lawrence Berkeley National Laboratory Recent Work
    Lawrence Berkeley National Laboratory Recent Work Title T-duality and Ramond-Ramond backgrounds in the Matrix Model Permalink https://escholarship.org/uc/item/7xc5s2s6 Journal Nuclear Physics B, 549(1/2/2008) Author Brace, D. Publication Date 1998-11-01 eScholarship.org Powered by the California Digital Library University of California LBNL-42548 Preprint ERNEST ORLANDO LAWRENCE BERKELEY NATIONAL LABORATORY T-Duality and Ramond-Ramond Backgrounds in the Matrix Model Daniel Brace, Bogdan Morariu, and Bruno Zumino Physics Division November 1998 Submitted to Nuclear Physics B ..... ' . -~. """-' e ...... ·--- .;:.., ~ L. ..... ·~). "·· ' . ~ ~-.· .. ( ~ --- I :zCJJ I I +:> N c.r. +:> CJJ DISCLAIMER This document was prepared as an account of work sponsored by the United States Government. While this document is believed to contain correct information, neither the United States Government nor any agency thereof, nor the Regents of the University of California, nor any of their employees, makes any warranty, express or implied, or assumes any legal responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by its trade name, trademark, manufacturer, or otherwise, does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States Government or any agency thereof, or the Regents of the University of
    [Show full text]