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Renormalization and Effective Field Theory
Mathematical Surveys and Monographs Volume 170 Renormalization and Effective Field Theory Kevin Costello American Mathematical Society surv-170-costello-cov.indd 1 1/28/11 8:15 AM http://dx.doi.org/10.1090/surv/170 Renormalization and Effective Field Theory Mathematical Surveys and Monographs Volume 170 Renormalization and Effective Field Theory Kevin Costello American Mathematical Society Providence, Rhode Island EDITORIAL COMMITTEE Ralph L. Cohen, Chair MichaelA.Singer Eric M. Friedlander Benjamin Sudakov MichaelI.Weinstein 2010 Mathematics Subject Classification. Primary 81T13, 81T15, 81T17, 81T18, 81T20, 81T70. The author was partially supported by NSF grant 0706954 and an Alfred P. Sloan Fellowship. For additional information and updates on this book, visit www.ams.org/bookpages/surv-170 Library of Congress Cataloging-in-Publication Data Costello, Kevin. Renormalization and effective fieldtheory/KevinCostello. p. cm. — (Mathematical surveys and monographs ; v. 170) Includes bibliographical references. ISBN 978-0-8218-5288-0 (alk. paper) 1. Renormalization (Physics) 2. Quantum field theory. I. Title. QC174.17.R46C67 2011 530.143—dc22 2010047463 Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy a chapter for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication is permitted only under license from the American Mathematical Society. Requests for such permission should be addressed to the Acquisitions Department, American Mathematical Society, 201 Charles Street, Providence, Rhode Island 02904-2294 USA. -
Conceptual Investigations of a Trigger Extension for Muons from Pp Collisions in the CMS Experiment
Conceptual investigations of a trigger extension for muons from pp collisions in the CMS experiment Von der Fakult¨at fur¨ Mathematik, Informatik und Naturwissenschaften der RWTH Aachen University zur Erlangung des akademischen Grades eines Doktors der Naturwissenschaften genehmigte Dissertation vorgelegt von Diplom-Physiker Yusuf Erdogan aus Istanbul Berichter: Universit¨atsprofessor Dr. rer. nat. Achim Stahl Universit¨atsprofessor Dr. rer. nat. Thomas Hebbeker Tag der mundlic¨ hen Prufung¨ : 24. Februar 2015 Diese Dissertation ist auf den Internetseiten der Hochschulbibliothek online verfu¨gbar. Kurzfassung Der Large Hadron Collider wird ab 2023 an seine Experimente fun¨ f bis zehn mal mehr Lu- minosit¨at als der derzeitige Designwert von 1034 cm−2s−1 liefern k¨onnen. Diese Verbes- serung wird die Messung von physikalischen Prozessen mit sehr kleinen Wirkungsquer- schnitten erlauben. Jedoch wird bei diesen hohen Luminosit¨aten, aufgrund von Pile-up Wechselwirkungen, die Belegung des CMS-Detektors sehr hoch sein. Dies wird einer- seits einen systematischen Anstieg von Triggerraten fur¨ einzelne Myonen verursachen, Andererseits werden die Fehlmessungen von Myon-Transversalimpulsen, verst¨arkt durch die begrenzte Impulsaufl¨osung des Myon-Systems, fur¨ hohe Impulswerte dominant sein. In diesem Bereich flacht die Verteilung der Triggerrate ab, was die Beschr¨ankung der Triggerrate durch eine Schwelle der Transversalimpulse erschwert. Außerdem wird die Qualit¨at des Triggers fu¨r einzelne Myonen durch koinzidente Teilchendurchg¨ange ver- ringert, da diese zu Doppeldeutigkeiten in den innersten Myonkammern fuh¨ ren k¨onnen. Im Rahmen der Ver¨offentlichung [2] wurde im Jahr 2007 ein Muon Track fast Tag (MTT) genanntes Konzept vorgestellt, um diese Trigger-Herausforderungen zu adressieren. Die, in dieser Arbeit durchgefuh¨ rten Studien sind in drei Abschitte unterteilt. -
Curriculum Vitae
CURRICULUM VITAE Raman Sundrum July 26, 2019 CONTACT INFORMATION Physical Sciences Complex, University of Maryland, College Park, MD 20742 Office - (301) 405-6012 Email: [email protected] CAREER John S. Toll Chair, Director of the Maryland Center for Fundamental Physics, 2012 - present. Distinguished University Professor, University of Maryland, 2011-present. Elkins Chair, Professor of Physics, University of Maryland, 2010-2012. Alumni Centennial Chair, Johns Hopkins University, 2006- 2010. Full Professor at the Department of Physics and Astronomy, The Johns Hopkins University, 2001- 2010. Associate Professor at the Department of Physics and Astronomy, The Johns Hop- kins University, 2000- 2001. Research Associate at the Department of Physics, Stanford University, 1999- 2000. Advisor { Prof. Savas Dimopoulos. 1 Postdoctoral Fellow at the Department of Physics, Boston University. 1996- 1999. Postdoc advisor { Prof. Sekhar Chivukula. Postdoctoral Fellow in Theoretical Physics at Harvard University, 1993-1996. Post- doc advisor { Prof. Howard Georgi. Postdoctoral Fellow in Theoretical Physics at the University of California at Berke- ley, 1990-1993. Postdoc advisor { Prof. Stanley Mandelstam. EDUCATION Yale University, New-Haven, Connecticut Ph.D. in Elementary Particle Theory, May 1990 Thesis Title: `Theoretical and Phenomenological Aspects of Effective Gauge Theo- ries' Thesis advisor: Prof. Lawrence Krauss Brown University, Providence, Rhode Island Participant in the 1988 Theoretical Advanced Summer Institute University of Sydney, Australia B.Sc with First Class Honours in Mathematics and Physics, Dec. 1984 AWARDS, DISTINCTIONS J. J. Sakurai Prize in Theoretical Particle Physics, American Physical Society, 2019. Distinguished Visiting Research Chair, Perimeter Institute, 2012 - present. 2 Moore Fellow, Cal Tech, 2015. American Association for the Advancement of Science, Fellow, 2011. -
Mathematisches Forschungsinstitut Oberwolfach Topologie
Mathematisches Forschungsinstitut Oberwolfach Report No. 42/2014 DOI: 10.4171/OWR/2014/42 Topologie Organised by Thomas Schick, G¨ottingen Peter Teichner, Bonn Nathalie Wahl, Copenhagen Michael Weiss, M¨unster 14 September – 20 September 2014 Abstract. The Oberwolfach conference “Topologie” is one of only a few opportunities for researchers from many different areas in algebraic and geo- metric topology to meet and exchange ideas. The program covered new de- velopments in fields such as automorphisms of manifolds, applications of alge- braic topology to differential geometry, quantum field theories, combinatorial methods in low-dimensional topology, abstract and applied homotopy theory and applications of L2-cohomology. We heard about new results describ- ing the cohomology of the automorphism spaces of some smooth manifolds, progress on spaces of positive scalar curvature metrics, a variant of the Segal conjecture without completion, advances in classifying topological quantum field theories, and a new undecidability result in combinatorial group theory, to mention some examples. As a special attraction, the conference featured a series of three talks by Dani Wise on the combinatorics of CAT(0)-cube complexes and applications to 3-manifold topology. Mathematics Subject Classification (2010): 55-xx, 57-xx, 18Axx, 18Bxx. Introduction by the Organisers This conference was the third topology conference in Oberwolfach organized by Thomas Schick, Peter Teichner, Nathalie Wahl and Michael Weiss. About 50 mathematicians participated, working in many different areas of algebraic and geometric topology. 2354 Oberwolfach Report 42/2014 The talks were of three types. There were 14 regular one-hour talks, 3 one-hour talks by keynote speaker Dani Wise and a “gong show” where 12 young speak- ers had the opportunity to present their research in 10 minutes each, including question time. -
On Cohomological Algebras in Supersymmetric Quantum Field Theories
On Cohomological Algebras in Supersymmetric Quantum Field Theories by Nafiz Ishtiaque A thesis presented to the University of Waterloo in fulfillment of the thesis requirement for the degree of Doctor of Philosophy in Physics Waterloo, Ontario, Canada, 2019 c Nafiz Ishtiaque 2019 Examining Committee Membership The following served on the Examining Committee for this thesis. The decision of the Examining Committee is by majority vote. External Examiner: Erich Poppitz Professor, Dept. of Physics, University of Toronto Supervisor: Jaume Gomis Faculty, Perimeter Institute for Theoretical Physics Adjunct Professor, Dept. of Physics and Astronomy, University of Waterloo Internal Member: Davide Gaiotto Faculty, Perimeter Institute for Theoretical Physics Adjunct Professor, Dept. of Physics and Astronomy, University of Waterloo Internal Member: Niayesh Afshordi Associate Faculty, Perimeter Institute for Theoretical Physics Associate Professor, Dept. of Physics and Astronomy, University of Waterloo Internal-External Member: Ruxandra Moraru Associate Professor, Dept. of Pure Mathematics, University of Waterloo ii Author's Declaration This thesis consists of material all of which I authored or co-authored: see Statement of Contributions included in the thesis. This is a true copy of the thesis, including any required final revisions, as accepted by my examiners. I understand that my thesis may be made electronically available to the public. iii Statement of Contributions This thesis is based on the following papers: 1. Jaume Gomis and Nafiz Ishtiaque. K¨ahlerpotential and ambiguities in 4d N = 2 SCFTs. JHEP, 04:169, 2015, 1409.5325. 2. Efrat Gerchkovitz, Jaume Gomis, Nafiz Ishtiaque, Avner Karasik, Zohar Komar- godski, and Silviu S. Pufu. Correlation Functions of Coulomb Branch Operators. -
Factorization Algebras in Quantum Field Theory Volume 2 (28 April 2016)
Factorization algebras in quantum field theory Volume 2 (28 April 2016) Kevin Costello and Owen Gwilliam Contents Chapter 1. Overview1 1.1. Classical field theory and factorization algebras1 1.2. Quantum field theory and factorization algebras2 1.3. The quantization theorem3 1.4. The rigid quantization conjecture4 Chapter 2. Structured factorization algebras and quantization7 2.1. Structured factorization algebras7 2.2. Commutative factorization algebras9 2.3. The P0 operad9 2.4. The Beilinson-Drinfeld operad 13 Part 1. Classical field theory 17 Chapter 3. Introduction to classical field theory 19 3.1. The Euler-Lagrange equations 19 3.2. Observables 20 3.3. The symplectic structure 20 3.4. The P0 structure 21 Chapter 4. Elliptic moduli problems 23 4.1. Formal moduli problems and Lie algebras 24 4.2. Examples of elliptic moduli problems related to scalar field theories 28 4.3. Examples of elliptic moduli problems related to gauge theories 30 4.4. Cochains of a local L¥ algebra 34 4.5. D-modules and local L¥ algebras 36 Chapter 5. The classical Batalin-Vilkovisky formalism 45 5.1. The classical BV formalism in finite dimensions 45 5.2. The classical BV formalism in infinite dimensions 47 5.3. The derived critical locus of an action functional 50 5.4. A succinct definition of a classical field theory 55 5.5. Examples of field theories from action functionals 57 5.6. Cotangent field theories 58 Chapter 6. The observables of a classical field theory 63 iii iv CONTENTS 6.1. The factorization algebra of classical observables 63 6.2. -
T R U S T E D . V a L U E D . E S S E N T I A
Trusted. Valued. Essential. JUNE 2018 Helping Our People Helping People It’s a guiding principle at Silver State Schools Credit Community Union. Since 1951, we have been fully-vested in the Southern Nevada community we serve. Whether it’s setting up your child’s first savings account, finding a Through Life’s great rate on a loan, buying your first home or finding the best investment, our employees are available to Financial Journey put your best interests first. Become a member today and experience the SSSCU difference. 800.357.9654 silverstatecu.com Vegas PBS A Message from the Management Team General Manager General Manager Tom Axtell, Vegas PBS Educational Media Services Director Niki Bates Production Services Director Kareem Hatcher Communications and Brand Management Director Shauna Lemieux Business Manager Brandon Merrill Content Director In Remembrance of Cyndy Robbins Workforce Training & Economic Development Director Charlotte Hill Debra Solt Corporate Partnerships Director Bruce Spotleson n 1971, Charlotte Hill convened a group of community leaders who founded Director of Engineering, IT and Emergency Response “Friends of Channel 10” to provide financial support for KLVX, Nevada’s first John Turner educational public television station – and she never left us. Over the next 47 Southern Nevada Public Television Board of Directors years, she would dedicate untold hours of support to the station; raise millions of Executive Director dollars through auctions and wine tastings; recruit a virtual army of volunteers; Tom Axtell, Vegas PBS Iand troop through the marbled halls of Congress to secure support despite blizzards President Nancy Brune, Guinn Center for Policy Priorities and thunderstorms. -
Naturalness Under Stress Arxiv:1501.01035V2 [Hep-Ph]
hep-th/yymmnnn SCIPP 14/15 Naturalness Under Stress Michael Dine Santa Cruz Institute for Particle Physics and Department of Physics, Santa Cruz CA 95064 Abstract Naturalness has for many years been a guiding principle in the search for physics beyond the Standard Model, particularly for understanding the physics of elec- troweak symmetry breaking. However, the discovery of the Higgs particle at 125 GeV, accompanied by exclusion of many types of new physics expected in natural models has called the principle into question. In addition, apart from the scale of weak interactions, there are other quantities in nature which appear unnaturally small and for which we have no proposal for a natural explanation.We first review the principle, and then discuss some of the conjectures which it has spawned. We then turn to some of the challenges to the naturalness idea and consider alterna- tives. arXiv:1501.01035v2 [hep-ph] 8 Jan 2015 1 Naturalness: A Contemporary Implementation of Dimensional Analysis In our first science courses we learn about the importance of dimensional analysis. Often this is presented as a consistency requirement for calculations of physical quantities. But it shapes our understanding of physical systems in a fundamental way. For example, from the electron mass, me, the speed of light, c, and Plancks constant, ~ we can form a ~ −15 quantity with dimensions of length: a = mc ≈ 10 cm: supplemented with the insight that the strength of the force between the proton and the electron is proportional to e2, 2 ~ so the size should get larger as e , or a = mce2 : To know the exact coefficient { which is an order one number { we need to solve the Schrodinger equation completely. -
The Hierarchy Problem and New Dimensions at a Millimeter
18 June 1998 Physics Letters B 429Ž. 1998 263±272 The hierarchy problem and new dimensions at a millimeter Nima Arkani±Hamed a, Savas Dimopoulos b, Gia Dvali c a SLAC, Stanford UniÕersity, Stanford, CA 94309, USA b Physics Department, Stanford UniÕersity, Stanford, CA 94305, USA c ICTP, Trieste 34100, Italy Received 12 March 1998; revised 8 April 1998 Editor: H. Georgi Abstract We propose a new framework for solving the hierarchy problem which does not rely on either supersymmetry or technicolor. In this framework, the gravitational and gauge interactions become united at the weak scale, which we take as the only fundamental short distance scale in nature. The observed weakness of gravity on distances R 1 mm is due to the G ; y1r2 existence of n 2 new compact spatial dimensions large compared to the weak scale. The Planck scale MPl GN is not a fundamental scale; its enormity is simply a consequence of the large size of the new dimensions. While gravitons can freely propagate in the new dimensions, at sub-weak energies the Standard ModelŽ. SM fields must be localized to a 4-dimensional manifold of weak scale ``thickness'' in the extra dimensions. This picture leads to a number of striking signals for accelerator and laboratory experiments. For the case of ns2 new dimensions, planned sub-millimeter measurements of gravity may observe the transition from 1rr 2 ™1rr 4 Newtonian gravitation. For any number of new dimensions, the LHC and NLC could observe strong quantum gravitational interactions. Furthermore, SM particles can be kicked off our 4 dimensional manifold into the new dimensions, carrying away energy, and leading to an abrupt decrease in R events with high transverse momentum pT TeV. -
Particle Fever Teacher Guide.Pdf
Particle Fever A Teacher Guide for Middle and High School Alan Friedman, Arthur Eisenkraft, and Cary Sneider May, 2014 Discovery of the Higgs Boson. Courtesy of CERN.Retrieved from http://particlefever.com. What makes Particle Fever so appealing for classroom use is its focus on the people and the process of doing science, not just on explaining deep and complex ideas. !" " Table of Contents Overview .........................................................................................................................................3 The Overview offers suggestions for using Particle Fever in the classroom, connections to the Next Generation Science Standards, and describes the resources on the DVD. The Physicists in the Film .............................................................................................................8 These images and short descriptions of the major players in Particle Fever can be helpful reminders in discussing their contributions and comments. Theme 1. Big Science ...................................................................................................................10 A brief history of particle physics provides background information that can help your students understand the development of such a massive science endeavor as we see in the LHC, and several other “big science” efforts underway today. Theme 2. Being a Scientist Today...............................................................................................16 Theme 2 offers suggestions for helping students compare and -
Particle Fever
ABRAMORAMA and BOND360 Presents PARTICLE FEVER A documentary film by Mark Levinson and David Kaplan In theaters beginning March 5, 2014 Runtime: 99 minutes www.particlefever.com/ Press Materials Available At: https://www.dropbox.com/sh/i0eihi330kkzhx1/gEyeME8Cgy Press Contact: BOND Strategy and Influence / Brooke Medansky 212-354-2384 / [email protected] LOGLINE: Particle Fever follows the inside story of six brilliant scientists seeking to unravel the mysteries of the universe, documenting the successes and setbacks in the planet’s most significant and inspiring scientific breakthrough. SHORT SYNOPSIS: Imagine being able to watch as Edison turned on the first light bulb, or as Franklin received his first jolt of electricity. For the first time, a film gives audiences a front row seat to a significant and inspiring scientific breakthrough as it happens. Particle Fever follows six brilliant scientists during the launch of the Large Hadron Collider, marking the start-up of the biggest and most expensive experiment in the history of the planet, pushing the edge of human innovation. As they seek to unravel the mysteries of the universe, 10,000 scientists from over 100 countries joined forces in pursuit of a single goal: to recreate conditions that existed just moments after the Big Bang and find the Higgs boson, potentially explaining the origin of all matter. But our heroes confront an even bigger challenge: have we reached our limit in understanding why we exist? Directed by Mark Levinson, a physicist turned filmmaker, from the inspiration and initiative of producer David Kaplan and masterfully edited by Walter Murch (Apocalypse Now, The English Patient, The Godfather trilogy), Particle Fever is a celebration of discovery, revealing the very human stories behind this epic machine. -
Supersymmetric Sigma Models, Partition Functions and the Chern-Gauss-Bonnet Theorem
Supersymmetric sigma models, partition functions and the Chern-Gauss-Bonnet Theorem by Daniel Berwick Evans A dissertation submitted in partial satisfaction of the requirements for the degree of Doctor of Philosophy in Mathematics in the Graduate Division of the University of California, Berkeley Committee in charge: Professor Peter Teichner, Chair Professor Ian Agol Professor Ori Ganor Spring 2013 Supersymmetric sigma models, partition functions and the Chern-Gauss-Bonnet Theorem Copyright 2013 by Daniel Berwick Evans 1 Abstract Supersymmetric sigma models, partition functions and the Chern-Gauss-Bonnet Theorem by Daniel Berwick Evans Doctor of Philosophy in Mathematics University of California, Berkeley Professor Peter Teichner, Chair In the search for a geometric model for elliptic cohomology and the Witten genus, Stolz and Teichner have defined a class of supersymmetric Euclidean field theories in various superdimensions djδ. With collaborators, they have shown that 1j1-dimensional theories encode the A^-genus and KO-theory, and in dimension 2j1 they expect similar constructions to lead to the Witten genus and TMF, the universal elliptic cohomology theory. In this thesis, we investigate super Euclidean field theories in a variety of dimensions with the goal of understanding their role in algebraic topology. We focus on two aspects: (1) the appearance of invariants like the A^-genus and (2) the relationship between field theories and cohomology theories. Beginning in the early 80s, physicists observed that partition functions of supersym- metric sigma models could frequently be identified with manifold invariants like the Euler characteristic, signature and A^-genus. Making these arguments precise culminated in the heat kernel proof of the index theorem.