2009 Annual Report
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Grassmannian Geometry of Scattering Amplitudes
Cambridge University Press 978-1-107-08658-6 - Grassmannian Geometry of Scattering Amplitudes Nima Arkani-Hamed, Jacob Bourjaily, Freddy Cachazo, Alexander Goncharov, Alexander Postnikov and Jaroslav Trnka Frontmatter More information GRASSMANNIAN GEOMETRY OF SCATTERING AMPLITUDES Outlining a revolutionary reformulation of the foundations of perturbative quantum field theory, this book is a self-contained and authoritative analysis of the application of this new formulation to the case of planar, maximally supersymmetric Yang-Mills theory. The book begins by deriving connections between scattering amplitudes and Grassmannian geometry from first principles before introducing novel physical and mathematical ideas in a systematic manner accessible to both physicists and mathematicians. The principle players in this process are on-shell functions which are closely related to certain sub-strata of Grassmannian manifolds called positroids—in terms of which the classification of on-shell functions and their relations becomes combinatorially manifest. This is an essential introduction to the geometry and combinatorics of the positroid stratification of the Grassmannian and an ideal text for advanced students and researchers working in the areas of field theory, high energy physics, and the broader fields of mathematical physics. Nima Arkani-Hamed is Professor of Physics at the Institute for Advanced Study, Princeton, New Jersey, USA. Jacob Bourjaily is Assistant Professor of Physics at the Niels Bohr International Academy and Discovery Center at the University of Copenhagen, Copenhagen, Denmark. Freddy Cachazo is the Gluskin Sheff Freeman Dyson Chair in Theoretical Physics at the Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Canada. Alexander Goncharov is Professor of Mathematics at Yale University, New Haven, Connecticut, USA. -
CERN Celebrates Discoveries
INTERNATIONAL JOURNAL OF HIGH-ENERGY PHYSICS CERN COURIER VOLUME 43 NUMBER 10 DECEMBER 2003 CERN celebrates discoveries NEW PARTICLES NETWORKS SPAIN Protons make pentaquarks p5 Measuring the digital divide pl7 Particle physics thrives p30 16 KPH impact 113 KPH impact series VISyN High Voltage Power Supplies When the objective is to measure the almost immeasurable, the VISyN-Series is the detector power supply of choice. These multi-output, card based high voltage power supplies are stable, predictable, and versatile. VISyN is now manufactured by Universal High Voltage, a world leader in high voltage power supplies, whose products are in use in every national laboratory. For worldwide sales and service, contact the VISyN product group at Universal High Voltage. Universal High Voltage Your High Voltage Power Partner 57 Commerce Drive, Brookfield CT 06804 USA « (203) 740-8555 • Fax (203) 740-9555 www.universalhv.com Covering current developments in high- energy physics and related fields worldwide CERN Courier (ISSN 0304-288X) is distributed to member state governments, institutes and laboratories affiliated with CERN, and to their personnel. It is published monthly, except for January and August, in English and French editions. The views expressed are CERN not necessarily those of the CERN management. Editor Christine Sutton CERN, 1211 Geneva 23, Switzerland E-mail: [email protected] Fax:+41 (22) 782 1906 Web: cerncourier.com COURIER Advisory Board R Landua (Chairman), P Sphicas, K Potter, E Lillest0l, C Detraz, H Hoffmann, R Bailey -
Annual Report to Industry Canada Covering The
Annual Report to Industry Canada Covering the Objectives, Activities and Finances for the period August 1, 2008 to July 31, 2009 and Statement of Objectives for Next Year and the Future Perimeter Institute for Theoretical Physics 31 Caroline Street North Waterloo, Ontario N2L 2Y5 Table of Contents Pages Period A. August 1, 2008 to July 31, 2009 Objectives, Activities and Finances 2-52 Statement of Objectives, Introduction Objectives 1-12 with Related Activities and Achievements Financial Statements, Expenditures, Criteria and Investment Strategy Period B. August 1, 2009 and Beyond Statement of Objectives for Next Year and Future 53-54 1 Statement of Objectives Introduction In 2008-9, the Institute achieved many important objectives of its mandate, which is to advance pure research in specific areas of theoretical physics, and to provide high quality outreach programs that educate and inspire the Canadian public, particularly young people, about the importance of basic research, discovery and innovation. Full details are provided in the body of the report below, but it is worth highlighting several major milestones. These include: In October 2008, Prof. Neil Turok officially became Director of Perimeter Institute. Dr. Turok brings outstanding credentials both as a scientist and as a visionary leader, with the ability and ambition to position PI among the best theoretical physics research institutes in the world. Throughout the last year, Perimeter Institute‘s growing reputation and targeted recruitment activities led to an increased number of scientific visitors, and rapid growth of its research community. Chart 1. Growth of PI scientific staff and associated researchers since inception, 2001-2009. -
Emergent Unitarity from the Amplituhedron Arxiv:1906.10700V2
Prepared for submission to JHEP Emergent Unitarity from the Amplituhedron Akshay Yelleshpur Srikant Department of Physics, Princeton University, NJ, USA Abstract: We present a proof of perturbative unitarity for planar N = 4 SYM, following from the geometry of the amplituhedron. This proof is valid for amplitudes of arbitrary multiplicity n, loop order L and MHV degree k. arXiv:1906.10700v2 [hep-th] 26 Dec 2019 Contents 1 Introduction2 2 Review of the topological definition of An;k;L 3 2.1 Momentum twistors3 2.2 Topological definition4 2.2.1 Tree level conditions4 2.2.2 Loop level conditions5 2.2.3 Mutual positivity condition6 2.3 Amplitudes and integrands as Canonical Forms6 2.4 Unitarity and the Optical theorem7 3 Proof for 4 point Amplitudes9 4 Proof for MHV amplitudes of arbitrary multiplicity 12 4.1 Left and right Amplituhedra 12 4.1.1 The left amplituhedron An1;0;L1 12 4.1.2 The right Amplituhedron An2;0;L2 14 4.2 Factorization on the unitarity cut 15 4.2.1 Trivialized mutual positivity 16 5 Proof for higher k sectors 17 5.1 The left and right amplituhedra 18 5.1.1 The left amplituhedron AL 18 n1;kL;L1 5.1.2 The right amplituhedron AR 20 n2;kR;L2 5.2 Factorization of the external data 21 5.3 Factorization of loop level data 24 5.4 Mutual positivity 25 6 Conclusions 25 A Restricting flip patterns 26 { 1 { 1 Introduction Unitarity is at the heart of the traditional, Feynman diagrammatic approach to cal- culating scattering amplitudes. -
Testing the Quantum-Classical Boundary and Dimensionality of Quantum Systems
Testing the Quantum-Classical Boundary and Dimensionality of Quantum Systems Poh Hou Shun Centre for Quantum Technologies National University of Singapore This dissertation is submitted for the degree of Doctor of Philosophy September 2015 Acknowledgements No journey of scientific discovery is ever truly taken alone. Every step along the way, we encounter people who are a great source of encouragement, guidance, inspiration, joy, and support to us. The journey I have embarked upon during the course of this project is no exception. I would like to extend my gratitude to my project partner on many occasion during the past 5 years, Ng Tien Tjeun. His humorous take on various matters ensures that there is never a dull moment in any late night lab work. A resounding shout-out to the ‘elite’ mem- bers of 0205 (our office), Tan Peng Kian, Shi Yicheng, and Victor Javier Huarcaya Azanon for their numerous discourses into everything under the sun, some which are possibly work related. Thank for tolerating my borderline hoarding behavior and the frequently malfunc- tioning door? I would like to thank Alessandro Ceré for his invaluable inputs on the many pesky problems that I had with data processing. Thanks for introducing me to world of Python programming. Now there is something better than Matlab? A big thanks also goes out to all of my other fellow researchers and colleagues both in the Quantum Optics group and in CQT. They are a source of great inspiration, support, and joy during my time in the group. Special thanks to my supervisor, Christian Kurtsiefer for his constant guidance on and off the project over the years. -
Report to Industry Canada
Report to Industry Canada 2013/14 Annual Report and Final Report for 2008-2014 Granting Period Institute for Quantum Computing University of Waterloo June 2014 1 CONTENTS From the Executive Director 3 Executive Summary 5 The Institute for Quantum Computing 8 Strategic Objectives 9 2008-2014 Overview 10 2013/14 Annual Report Highlights 23 Conducting Research in Quantum Information 23 Recruiting New Researchers 32 Collaborating with Other Researchers 35 Building, Facilities & Laboratory Support 43 Become a Magnet for Highly Qualified Personnel in the Field of Quantum Information 48 Establishing IQC as the Authoritative Source of Insight, Analysis and Commentary on Quantum Information 58 Communications and Outreach 62 Administrative and Technical Support 69 Risk Assessment & Mitigation Strategies 70 Appendix 73 2 From the Executive Director The next great technological revolution – the quantum age “There is a second quantum revolution coming – which will be responsible for most of the key physical technological advances for the 21st Century.” Gerard J. Milburn, Director, Centre for Engineered Quantum Systems, University of Queensland - 2002 There is no doubt now that the next great era in humanity’s history will be the quantum age. IQC was created in 2002 to seize the potential of quantum information science for Canada. IQC’s vision was bold, positioning Canada as a leader in research and providing the necessary infrastructure for Canada to emerge as a quantum industry powerhouse. Today, IQC stands among the top quantum information research institutes in the world. Leaders in all fields of quantum information science come to IQC to participate in our research, share their knowledge and encourage the next generation of scientists to continue on this incredible journey. -
Background Information on the 1999 Nobel Prize in Physics Particle
Background information on the 1999 Nobel Prize in Physics Particle physics deals with the properties of the basic constituents of matter and the interactions between them. Up to now, the most successful “language” in this branch of physics has been that of relativistic quantum field theory. In this framework elementary particles are represented by (second quantized) fields, these being functions of space and time that include creation and annihilation operators for particles. For example light, the photon, is represented by such a field. These fields are thus the building blocks of theories that attempt to describe elementary particles and their interactions. A highly successful theory of this kind is Quantum Electrodynamics, commonly known as QED. QED describes, to a very high degree of accuracy, the interactions of electrons, positrons and light at low energies. It also enjoys a great deal of success in many other applications, for example when it is used to describe the interaction of light with atoms. However, the development of QED and understanding its quantum structure did not come easily but took several decades. The theory was to be used perturbatively. In other words, taking into account higher order corrections was expected to improve the accuracy of its predictions. But instead some of these corrections were found to be infinitely large. Many scientists contributed to elucidating and solving the problems of QED, among them R. P. Feynman, J. Schwinger and S.-I. Tomonaga who shared the 1965 Nobel Prize in Physics for “their fundamental work in quantum electrodynamics, with deep-ploughing consequences for the physics of elementary particles”. -
Small-Scale Secondary Anisotropics in the Cosmic Microwave Background
Small-Scale Secondary Anisotropics in the Cosmic Microwave Background by Jonathan Dudley M.Sc. Department of Physics McGill University Montreal, Quebec August 2007 A thesis submitted to McGill University in partial fulfilment of the requirements of the degree of Master of Science in Physics © Jonathan Dudley (2007) Library and Bibliotheque et 1*1 Archives Canada Archives Canada Published Heritage Direction du Branch Patrimoine de I'edition 395 Wellington Street 395, rue Wellington Ottawa ON K1A0N4 Ottawa ON K1A0N4 Canada Canada Your file Votre reference ISBN: 978-0-494-51263-0 Our file Notre reference ISBN: 978-0-494-51263-0 NOTICE: AVIS: The author has granted a non L'auteur a accorde une licence non exclusive exclusive license allowing Library permettant a la Bibliotheque et Archives and Archives Canada to reproduce, Canada de reproduire, publier, archiver, publish, archive, preserve, conserve, sauvegarder, conserver, transmettre au public communicate to the public by par telecommunication ou par Plntemet, prefer, telecommunication or on the Internet, distribuer et vendre des theses partout dans loan, distribute and sell theses le monde, a des fins commerciales ou autres, worldwide, for commercial or non sur support microforme, papier, electronique commercial purposes, in microform, et/ou autres formats. paper, electronic and/or any other formats. The author retains copyright L'auteur conserve la propriete du droit d'auteur ownership and moral rights in et des droits moraux qui protege cette these. this thesis. Neither the thesis Ni la these ni des extraits substantiels de nor substantial extracts from it celle-ci ne doivent etre imprimes ou autrement may be printed or otherwise reproduits sans son autorisation. -
Abdus Salam United Nations Educational, Scientific and Cultural Organization International Centre International Atomic Energy Agency for Theoretical Physics
the IC/2003/28 abdus salam united nations educational, scientific and cultural organization international centre international atomic energy agency for theoretical physics KONISHI ANOMALY APPROACH TO GRAVITATIONAL F-TERMS Justin R. David Edi Gava and K.S. Narain Available at. http://www.ictp.trieste.it/~pub- off IC/2003/28 United Nations Educational Scientific and Cultural Organization and International Atomic Energy Agency THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS KONISHI ANOMALY APPROACH TO GRAVITATIONAL F-TERMS Justin R. David1 The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy, Edi Gava2 Institute Nazionale di Fisica Nucleare, Sezione di Trieste, Trieste, Italy, Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy and The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy and K.S. Narain3 The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy. Abstract We study gravitational corrections to the effective superpotential in theories with a single adjoint chiral multiplet, using the generalized Konishi anomaly and the gravitationally deformed chiral ring. We show that the genus one correction to the loop equation in the corresponding matrix model agrees with the gravitational corrected anomaly equations in the gauge theory. An important ingrediant in the proof is the lack of factorization of chiral gauge invariant operators in presence of a supergravity background. We also find a genus zero gravitational correction to the superpotential, which can be removed by a field redefinition. MIRAMARE - TRIESTE April 2003 1justm@ictp trieste.it [email protected] 3narain@ictp tneste.it 1 Introduction Recently much progress has been made in the computation and understanding of F-terms which describe the coupling of Ν = 1 gauge theories to Ν = I supergravity [1, 2, 3, 4, 5]. -
Meetings Klaus Schultze
People Meetings • The Sixth International Wigner Symposium (WigSym6) will be held in Istanbul,Turkey, on 16-22 August as part of the ongoing biennial series of International Wigner symposia. Concentrating on quantum and conformal field theory, strings and quantum groups, the even will be held at Bogazici University on one of the hills of Bosphorus. Internet "http:// www.wigsym6.boun.edu.tr". E-mail "wigsym6 @boun.edu.tr". For an automated answering service, e-mail "<[email protected]>" with WIGSYM.99 on the subject line. The American Physical Society (APS) Centennial meeting in Atlanta on 20-26 March, • The Ninth Lomonosov Conference on attended by some 11400, physicists was the largest physics meeting in history. At the Elementary Particle Physics, organized by the event, Cecilia Jarlskog of CERN (with microphone), who chairs the Nobel Committee for Interregional Centre for Advanced Studies, Physics and Chemistry, opened a photographic gallery of physics laureates. On the right is Moscow; the Faculty of Physics, the Institute APS President and 1990 Nobel Prize for Physics winner Jerome Friedman. of Theoretical Microphysics of the Moscow State University; the Joint Institute for Nuclear Research, Dubna; the Instituto Superior Tecnico - CENTRA, Lisbon; the Institute of Theoretical and Experimental Physics, Moscow; Klaus Schultze the Institute for High Energy Physics, Protvino; and the Institute for Nuclear Research, Enthusiastic and committed physicist Klaus Moscow) will be held at Moscow State Schultze died on 8 April aged 67. University, Moscow, from 20-26 September. After receiving his doctorate at Wurzburg Topics will include electroweak theory, tests of with a thesis on the range of electrons in a the standard model and beyond, heavy quark heavy liquid bubble chamber, Schultze physics, non-perturbative QCD, neutrino became a CERN fellow in 1962, joining the physics, astroparticle physics and quantum NPA heavy liquid bubble chamber group. -
Many-Body Entanglement in Classical & Quantum Simulators
Many-Body Entanglement in Classical & Quantum Simulators Johnnie Gray A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy of University College London. Department of Physics & Astronomy University College London January 15, 2019 2 3 I, Johnnie Gray, confirm that the work presented in this thesis is my own. Where information has been derived from other sources, I confirm that this has been indicated in the work. Abstract Entanglement is not only the key resource for many quantum technologies, but es- sential in understanding the structure of many-body quantum matter. At the interface of these two crucial areas are simulators, controlled systems capable of mimick- ing physical models that might escape analytical tractability. Traditionally, these simulations have been performed classically, where recent advancements such as tensor-networks have made explicit the limitation entanglement places on scalability. Increasingly however, analog quantum simulators are expected to yield deep insight into complex systems. This thesis advances the field in across various interconnected fronts. Firstly, we introduce schemes for verifying and distributing entanglement in a quantum dot simulator, tailored to specific experimental constraints. We then confirm that quantum dot simulators would be natural candidates for simulating many-body localization (MBL) - a recently emerged phenomenon that seems to evade traditional statistical mechanics. Following on from that, we investigate MBL from an entanglement perspective, shedding new light on the nature of the transi- tion to it from a ergodic regime. As part of that investigation we make use of the logarithmic negativity, an entanglement measure applicable to many-body mixed states. -
Chris Smeenk
Chris Smeenk Department of Philosophy Oce: +1 519 661 2111 ext. 85770 Rotman Institute of Philosophy University of Western Ontario Email: [email protected] WIRB 7180 Skype: cjsmeenk London, ON Canada N6A 5B7 hp://publish.uwo.ca/∼csmeenk2 Areas of Specialty Philosophy of science, Philosophy of physics, History of physics. Areas of Competence Early modern philosophy, Epistemology, History of philosophy of science. Academic Appointments Western University · Professor, Philosophy, 2019 – Present. · Associate Professor, 2011– 2019. · Assistant Professor, 2007 – 2011. · Director, Rotman Instititue of Philosophy, 2012 – 13 (interim), 2015 – present (currently on sabbatical leave). · Cross-appointment with Applied Mathematics, 2011 – Present. University of California, Los Angeles · Assistant Professor, 2003 – 2007. Visiting Positions · Visiting Professor, McGill University (Philosophy), 2019 – present (sabbatical leave). · Visiting Fellow, Whitney Humanities Center at Yale University, 2014 – 2015 (sabbatical leave). · Postdoctoral Fellow, 2002 – 2003, Dibner Institute for History of Science and Technology (MIT). Education PhD, History and Philosophy of Science, University of Pisburgh, 2003 “Approaching the Absolute Zero of Time: eory Development in Early Universe Cosmology.” Supervisory commiee: John Earman and John Norton (co-chairs), Al Janis, and Laura Ruetsche M.A., Philosophy, University of Pisburgh, 2002 M.S., Physics and Astronomy, University of Pisburgh, 2001 B.A., Physics and Philosophy, Yale College, 1995 Cum laude, with distinction in the major. Awards and Honors · USC Teaching Honour Roll, 2012-13, 2015-16 · Milton K. Munitz Prize in Philosophy, for the essay: “e Logic of Cosmology Revisited.” (Awarded July 2008; judged by Hilary Putnam and Richard Gale.) · University of California Oce of the President Research Fellowship in the Humanities (awarded for 2007-08, declined to move to UWO) · NEH Summer Seminar in the Humanities fellowship: Leibniz, summer 2003 1 · Slater Fellowship in History of Physics, American Philosophical Society, 2001-02 · A.