Felix Berezin Life And Death Of The Mastermind Of Supermathematics
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Felix Berezin Life And Death Of The Mastermind Of Supermathematics
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Author : Misha Shifman
language : en
Publisher: World Scientific
Release Date : 2007-04-27
Felix Berezin Life And Death Of The Mastermind Of Supermathematics written by Misha Shifman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-27 with Mathematics categories.
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.
Quantum Field Theory Ii
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Author : Misha Shifman
language : en
Publisher: World Scientific
Release Date : 2019-03-12
Quantum Field Theory Ii written by Misha Shifman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-12 with Science categories.
This textbook grew out of lecture notes the author used in delivering a quantum field theory (QFT) course for students (both in high energy physics and condensed matter) who already had an initial exposure to the subject.It begins with the path integral method of quantization presented in a systematic and clear-cut manner. Perturbation theory is generalized beyond tree level, to include radiative corrections (loops). Renormalization procedures and the Wilsonian renormalization group (RG flow) are discussed, asymptotic freedom of non-Abelian gauge theories is derived, and some applications in Quantum Chromodynamics (QCD) are considered, with a brief digression into the Standard Model (SM). The SM case requires a study of the spontaneous breaking of gauge symmetry, a phenomenon which would be more appropriate to call 'Higgsing of the gauge bosons.' Other regimes attainable in gauge theories are explained as well. In the condensed matter part, the Heisenberg and Ising model are discussed. The present textbook differs from many others in that it is relatively concise and, at the same time, teaches students to carry out actual calculations which they may encounter in QFT-related applications.
Toeplitz Matrices And Operators
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Author : Nikolaï Nikolski
language : en
Publisher: Cambridge University Press
Release Date : 2020-01-02
Toeplitz Matrices And Operators written by Nikolaï Nikolski and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-02 with Mathematics categories.
A friendly introduction to Toeplitz theory and its applications throughout modern functional analysis.
Mathematical Cultures
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Author : Brendan Larvor
language : en
Publisher: Birkhäuser
Release Date : 2016-05-25
Mathematical Cultures written by Brendan Larvor and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-25 with Mathematics categories.
This collection presents significant contributions from an international network project on mathematical cultures, including essays from leading scholars in the history and philosophy of mathematics and mathematics education. Mathematics has universal standards of validity. Nevertheless, there are local styles in mathematical research and teaching, and great variation in the place of mathematics in the larger cultures that mathematical practitioners belong to. The reflections on mathematical cultures collected in this book are of interest to mathematicians, philosophers, historians, sociologists, cognitive scientists and mathematics educators.
Physics In A Mad World
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Author : Misha Shifman
language : en
Publisher: World Scientific
Release Date : 2015-08-28
Physics In A Mad World written by Misha Shifman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-28 with Science categories.
This book tells captivating stories of misadventures of two renowned theoretical physicists in the Soviet Union. The first part is devoted to Friedrich (Fritz) Houtermans, an outstanding Dutch-Austrian-German physicist who was the first to suggest that the source of stars' energy is thermonuclear fusion, and also made a number of other important contributions to cosmochemistry and geochemistry. In 1935, Houtermans, a German communist, in an attempt to save his life from Hilter's Gestapo, fled to the Soviet Union. He took up an appointment at the Kharkov Physico-Technical Institute, working there for two years with the Russian physicist Valentin P Fomin. In the Great Purge of 1937, Houtermans was arrested in December by the NKVD (Soviet Secret Police, KGB's predecessor). He was tortured, and confessed to being a Trotskyist plotter and German spy, out of fear of threats against his wife Charlotte. However, Charlotte had already escaped from the Soviet Union to Denmark, after which she went to England and finally the USA. As a result of the Hilter-Stalin Pact of 1939, Houtermans was turned over to the Gestapo in May 1940 and imprisoned in Berlin.The second part consists of two essays that narrate the life story of Yuri Golfand, one of the codiscoverers of supersymmetry, a major discovery in theoretical physics in the 20th century. In 1973, just two years after the publication of his seminal paper, he was fired from the Lebedev Physics Institute in Moscow. Because of his Jewish origin he could find no job. Under such circumstances, he applied for an exit visa to Israel, but his application was denied. Yuri Golfand became a refusnik and joined the Human rights movement, along with two other prominent physicists, Andrei Sakharov and Yuri Orlov. To earn his living, he had to do manual work, repeatedly being intimidated by KGB. Only 18 years later, shortly before the demise of the Soviet Union, did he obtain permission to leave the country, emigrating to Israel in 1990.These personal life stories of two outstanding theorists are interwined with the tragedies of the 20th century and make for compelling reading.
Supersymmetric World The The Beginnings Of The Theory Second Edition
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Author : Gordon Kane
language : en
Publisher: World Scientific
Release Date : 2025-01-24
Supersymmetric World The The Beginnings Of The Theory Second Edition written by Gordon Kane and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-24 with Science categories.
The story of the discovery of supersymmetry is a fascinating one, unlike that of any other major de-velopment in the history of science. This engaging book presents a view of the process, mainly in the words of people who participated. It combines anecdotal descriptions and personal reminiscences with more technical accounts of the trailblazers, covering the birth of the theory and its first years — the origin of the idea, four-dimensional field theory realization, and supergravity. The eyewit-nesses convey to us the drama of one of the deepest discoveries in theoretical physics in the 20th century. This book will be equally interesting and useful to young researchers in high energy physics and to mature scholars — physicists and historians of science.The First Edition of this book was released in 2000, just before the symposium 'Thirty Years of Su-persymmetry' was held at the William I. Fine Theoretical Physics Institute (FTPI) of the University of Minnesota. Remarkably, it was at this event that many of the early pioneers of the field met face-to-face for the first time. Since then 23 years have elapsed and significant changes happened in su-persymmetry (SUSY), prompting this second edition.
Advanced Topics In Quantum Field Theory
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Author : M. Shifman
language : en
Publisher: Cambridge University Press
Release Date : 2012-01-19
Advanced Topics In Quantum Field Theory written by M. Shifman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-19 with Science categories.
Devoted specifically to modern field theory, this is an indispensable book for graduate students and researchers in theoretical physics. It emphasizes nonperturbative phenomena and supersymmetry, and discusses various phases of gauge theories, extended objects and their quantization, and global supersymmetry from a modern perspective.
Advanced Topics In Quantum Field Theory
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Author : Mikhail Shifman
language : en
Publisher: Cambridge University Press
Release Date : 2022-04-28
Advanced Topics In Quantum Field Theory written by Mikhail Shifman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-28 with Science categories.
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.
Mathematical Analysis And Applications Plenary Lectures
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Author : Luigi G. Rodino
language : en
Publisher: Springer
Release Date : 2018-11-11
Mathematical Analysis And Applications Plenary Lectures written by Luigi G. Rodino and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-11 with Mathematics categories.
This book includes the texts of the survey lectures given by plenary speakers at the 11th International ISAAC Congress held in Växjö, Sweden, on 14-18 August, 2017. It is the purpose of ISAAC to promote analysis, its applications, and its interaction with computation. Analysis is understood here in the broad sense of the word, including differential equations, integral equations, functional analysis, and function theory. With this objective, ISAAC organizes international Congresses for the presentation and discussion of research on analysis. The plenary lectures in the present volume, authored by eminent specialists, are devoted to some exciting recent developments, topics including: local solvability for subprincipal type operators; fractional-order Laplacians; degenerate complex vector fields in the plane; lower bounds for pseudo-differential operators; a survey on Morrey spaces; localization operators in Signal Theory and Quantum Mechanics. Thanks to theaccessible style used, readers only need a basic command of Calculus. This book will appeal to scientists, teachers, and graduate students in Mathematics, in particular Mathematical Analysis, Probability and Statistics, Numerical Analysis and Mathematical Physics.
Quantum Field Theory Batalin Vilkovisky Formalism And Its Applications
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Author : Pavel Mnev
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-08-20
Quantum Field Theory Batalin Vilkovisky Formalism And Its Applications written by Pavel Mnev and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-20 with Mathematics categories.
This book originated from lecture notes for the course given by the author at the University of Notre Dame in the fall of 2016. The aim of the book is to give an introduction to the perturbative path integral for gauge theories (in particular, topological field theories) in Batalin–Vilkovisky formalism and to some of its applications. The book is oriented toward a graduate mathematical audience and does not require any prior physics background. To elucidate the picture, the exposition is mostly focused on finite-dimensional models for gauge systems and path integrals, while giving comments on what has to be amended in the infinite-dimensional case relevant to local field theory. Motivating examples discussed in the book include Alexandrov–Kontsevich–Schwarz–Zaboronsky sigma models, the perturbative expansion for Chern–Simons invariants of 3-manifolds given in terms of integrals over configurations of points on the manifold, the BF theory on cellular decompositions of manifolds, and Kontsevich's deformation quantization formula.