Quantum field theory is the basis of our modern description of physical phenomena at the fundamental level. This systematic and comprehensive text emphasizes nonperturbative phenomena and supersymmetry. It includes a thorough discussion of various phases of gauge theories, extended objects and their quantization, and global supersymmetry from a modern perspective. This Second Edition is revised to include topics developed in the last decade, including higher-form global symmetries and their applications, anomalies in supersymmetric theories beyond Ferrara–Zumino, and non-Abelian supersymmetric vortex strings. A new final part is added, presenting more than 90 problems with detailed solutions, allowing students to check their understanding of the acquired knowledge and providing extra details to supplement the main text descriptions. This an indispensable book for graduate students and researchers in theoretical physics.
The Second Edition of this systematic, comprehensive text is revised to include topics developed in the last decade. A new final part presents more than 90 problems with detailed solutions, making this an indispensable book for graduate students and researchers in theoretical physics.
This groundbreaking work features two essays written by the renowned mathematician Ilan Vardi. The first essay presents a thorough analysis of contrived problems suggested to “undesirable” applicants to the Department of Mathematics of Moscow University. His second essay gives an in-depth discussion of solutions to the Year 2000 International Mathematical Olympiad, with emphasis on the comparison of the olympiad problems to those given at the Moscow University entrance examinations.The second part of the book provides a historical background of a unique phenomenon in mathematics, which flourished in the 1970s-80s in the USSR. Specially designed math problems were used not to test students' ingenuity and creativity but, rather, as “killer problems,” to deny access to higher education to “undesirable” applicants. The focus of this part is the 1980 essay, “Intellectual Genocide”, written by B Kanevsky and V Senderov. It is being published for the first time. Also featured is a little-known page of the Soviet history, a rare example of the oppressed organizing to defend their dignity. This is the story of the so-called Jewish People's University, the inception of which is associated with Kanevsky, Senderov and Bella Subbotovskaya.
The symposium and workshop OC Continuous Advances in QCD / ArkadyfestOCO was the fifth in the series of meetings organized by the William I Fine Theoretical Physics Institute at the University of Minnesota. This meeting brought together leading researchers in high-energy physics to exchange the latest ideas in QCD and gauge theories at strong coupling at large. It honored the 60th birthday of Professor Arkady Vainshtein, and the papers included in this proceedings volume also look back on the history of the subjects in which Arkady played such a central role: applications of PCAC, penguins, invisible axions, QCD sum rules, exact beta functions, condensates in supersymmetry, powerful heavy quark expansions, and new anomalies in 2D SUSY theories. The current status of these subjects was summarized in several excellent presentations that also outlined a historical perspective. A number of papers from leading researchers in the field present new developments and ideas in modern areas of study, such as the cosmological constant problem in extra-dimension theories, supersymmetric monopoles, solitons and confinement, AdS/CFT correspondence, and high density QCD. Contents: Perturbative and Nonperturbative QCD: Electromagnetic Form Factor of the Pion (H Leutwyler); Multiple Uses of the QCD Instantons (E V Shuryak); CP-Violation and Mixing in Charmed Mesons (A A Petrov); General Aspects of QCD and the Standard Model: Probing New Physics: From Charm to Superstrings (M K Gaillard); Dynamics of QCD in a Strong Magnetic Field (V A Miransky); On Mixed Phases in Gauge Theories (V L Chernyak); Gauge Dynamics at High Temperature and Density: What QCD Tells Us About Nature (F Wilczek); Domain Walls and Strings in Dense Quark Matter (A R Zhitnitsky); Topological Field Configurations, Dynamics in Supersymmetric Models, and Theoretical Issues: Non-Abelian Monopoles, Vortices and Confinement (K Konishi); Nonperturbative Solution of Supersymmetric Gauge Theories (J R Hiller); Testing ADS/CFT Correspondence with Wilson Loops (K Zarembo); Cosmology and Axions: Axions: Past, Present, and Future (M Srednicki); QCD Vacuum and Axions: What''s Happening? (G Gabadadze & M Shifman); Arkadyfest: Arkady in Siberia (E Shuryak); Of a Superior Breed (V Zelevinsky); Reminiscences in Pastels (M Shifman); and other papers. Readership: Graduate students and researchers in high-energy and theoretical physics.
Felix Berezin was an outstanding Soviet mathematician who in the 1960s and 70s was the driving force behind the emergence of the branch of mathematics now known as supermathematics. The integral over the anticommuting Grassmann variables that he introduced in the 1960s laid the foundation for the path integral formulation of quantum field theory with fermions, the heart of modern supersymmetric field theories and superstrings. The Berezin integral is named for him, as is the closely related construction of the Berezinian, which may be regarded as the superanalog of the determinant.This book features a masterfully written memoir by Berezin's widow, Elena Karpel, who narrates a remarkable account of Berezin's life and his struggle for survival under the totalitarian Soviet regime. Supplemented with recollections by his close friends and colleagues, Berezin's accomplishments in mathematics, his novel ideas and breakthrough works, are reviewed in two articles written by Andrei Losev and Robert Minlos.
This book is about dark matter’s particle nature and the implications of a new symmetry that appears when a hypothetical dark matter particle is heavy compared to known elementary particles. Dark matter exists and composes about 85% of the matter in the universe, but it cannot be explained in terms of the known elementary particles. Discovering dark matter's particle nature is one of the most pressing open problems in particle physics. This thesis derives the implications of a new symmetry that appears when the hypothetical dark matter particle is heavy compared to the known elementary particles, a situation which is well motivated by the null results of searches at the LHC and elsewhere. The new symmetry predicts a universal interaction between dark matter and ordinary matter, which in turn may be used to determine the event rate and detectable energy in dark matter direct detection experiments. The computation of heavy wino and higgsino dark matter presented in this work has become a benchmark for the field of direct detection. This thesis has also spawned a new field of investigation in dark matter indirect detection, determining heavy WIMP annihilation rates using effective field theory methods. It describes a new formalism for implementing Lorentz invariance constraints in nonrelativistic theories, with a surprising result at 1/M^4 order that contradicts the prevailing ansatz in the past 20 years of heavy quark literature. The author has also derived new perturbative QCD results to provide the definitive analysis of key Standard Model observables such as heavy quark scalar matrix elements of the nucleon. This is an influential thesis, with impacts in dark matter phenomenology, field theory formalism and precision hadronic physics.
Proceedings of the Conference on Graphs and Patterns in Mathematics and Theoretical Physics, Dedicated to Dennis Sullivan's 60th Birthday, June 14-21, 2001, Stony Brook University, Stony Brook, NY
Proceedings of the Conference on Graphs and Patterns in Mathematics and Theoretical Physics, Dedicated to Dennis Sullivan's 60th Birthday, June 14-21, 2001, Stony Brook University, Stony Brook, NY
The Stony Brook Conference, "Graphs and Patterns in Mathematics and Theoretical Physics", was dedicated to Dennis Sullivan in honor of his sixtieth birthday. The event's scientific content, which was suggested by Sullivan, was largely based on mini-courses and survey lectures. The main idea was to help researchers and graduate students in mathematics and theoretical physics who encounter graphs in their research to overcome conceptual barriers. The collection begins with Sullivan's paper, "Sigma models and string topology," which describes a background algebraic structure for the sigma model based on algebraic topology and transversality. Other contributions to the volume were organized into five sections: Feynman Diagrams, Algebraic Structures, Manifolds: Invariants and Mirror Symmetry, Combinatorial Aspects of Dynamics, and Physics. These sections, along with more research-oriented articles, contain the following surveys: "Feynman diagrams for pedestrians and mathematicians" by M. Polyak, "Notes on universal algebra" by A. Voronov, "Unimodal maps and hierarchical models" by M. Yampolsky, and "Quantum geometry in action: big bang and black holes" by A. Ashtekar. This comprehensive volume is suitable for graduate students and research mathematicians interested in graph theory and its applications in mathematics and physics.
For almost two decades Prof. Shifman, a clear and pedagogical expositor, has been giving review lectures on frontier topics in theoretical high energy physics. This two-volume book is a collection of some of the best of those lectures. The lectures written in the 1980's and early 1990's have been revised and updated specifically for this publication. The lectures in this book are intended for beginners -- graduate students and young researchers -- who are about to delve into the intricacies of the theory. They were used by the author in his course "Advanced Modern Field Theory and Its Applications," given in the academic year 1994/95 at the University of Minnesota.A wide range of key topics is covered. In Volume 1, the first two chapters are devoted to quantum chromodynamics as the theory of hadrons. The author gives an in-depth discussion of a variety ofpowerful methods based on Wilson's operator product expansion. Chapter 3 (written together with V Novikov, A Vainshtein, and V Zakharov) is the most systematic and pedagogical presentation of instantons in the gauge theories one can find in the literature. Chapter 4 introduces supersymmetry. Chapter 5, concluding this volume, reviews the fascinating dynamics of supersymmetric gauge theories in the strong coupling regime. Chapter 6, which opens Volume 2, is a culmination of the supersymmetric theme. It gives a state-of-the-art description of the breakthrough developments in supersymmetric gauge theories. It has been written specifically for this book by A Vainshtein and the author. Chapter 7 is designed as a primer of two-dimensional conformal field theory, which constitutes the basis of modern string theory. Chapter 8, the last, presents remarkable new findings in quantum mechanics. Every chapter contains exercises and a list of recommended literature.Prof. Shifman has been an active participant and significant contributor in the development of the ideas presented in this book. This accounts for the historical remarks and digressions interspersed in the book, enhancing its pedagogical role. The book will serve as a comprehensive reference and textbook for all graduate students and researchers interested in modern particle physics. It will also be a useful guide for lecturers.
This special book is a compilation of essays on a remarkable but little-known story that lasted over half a century of world-renown physicist, the late Sir Rudolf Peierls and his wife Genia Kannegiser. Peierls' collected a lot of prestigious awards in his lifetime, and in the beginning of WW2, he and Otto Frisch were responsible for the inception of the Anglo-American nuclear program (1940). He was also one of the key contributors in the research at Los Alamos during those turbulent times.Most previous books on Peierls have focused on his scientific research, while the contents for this volume sheds light on his private life in dramatic circumstances. The extensive contributions were not only gathered from the relatives of Genia, the couple's daughters, Landau's students, and from Russian and English archives, but they also include the unique perspectives of the author who is a professional theoretical physicist and is also fluent in Russian, his native language.So, this fascinating story of love, friendship and physics between Rudolf and Genia is being told for the first time from a surprisingly new angle through correspondence between Genia and Rudolf, memoirs and other documents, interesting and informal excerpts from Peierls' private 'diary' covering the years 1979-1994 that will take the reader on a journey through communism, world war, the trials and tribulations of the loving couple with distinctly very different personalities.
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