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Conformal Field Theory for Particle Physicists

2023-04-13 Science
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Release : 2023-04-13
Genre : Science
Kind : eBook
Book Rating : 86X/5 ( reviews)

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Book Synopsis Conformal Field Theory for Particle Physicists by : Marc Gillioz

Download or read book Conformal Field Theory for Particle Physicists written by Marc Gillioz. This book was released on 2023-04-13. Available in PDF, EPUB and Kindle. Book excerpt: This book is a set of introductory lecture notes on Conformal Field Theory (CFT). Unlike most existing reviews on the subject, CFT is presented here from the perspective of a unitary quantum field theory in Minkowski space-time. The book starts with a non-perturbative formulation of quantum field theory (Wightman axioms) and then, gradually, focuses on the implications of scale and special conformal symmetry, all the way to the modern conformal bootstrap. This approach includes topics such as subtleties of conformal transformations in Minkowski space-time, the construction of Wightman functions and time-ordered correlators both in position- and momentum-space, unitarity bounds derived from the spectral representation, and the appearance of UV and IR divergences. In each chapter, the reader finds useful exercises to master the subject. This book is meant for graduate students in theoretical physics and for more advanced researchers working in high-energy physics who are not necessarily familiar with the concepts of conformal field theory. Prior knowledge of quantum field theory is needed to master the arguments.

Conformal Field Theory

2018-03-14 Science
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Release : 2018-03-14
Genre : Science
Kind : eBook
Book Rating : 427/5 ( reviews)

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Book Synopsis Conformal Field Theory by : Yavuz Nutku

Download or read book Conformal Field Theory written by Yavuz Nutku. This book was released on 2018-03-14. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an understanding of conformal field theory and its importance to both statistical mechanics and string theory. It introduces the Wess-Zumino-Novokov-Witten (WZNW) models and their current algebras, the affine Kac-Moody algebras.

Conformal Field Theory

1995-02-28 Science
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Release : 1995-02-28
Genre : Science
Kind : eBook
Book Rating : 529/5 ( reviews)

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Book Synopsis Conformal Field Theory by : Sergei V Ketov

Download or read book Conformal Field Theory written by Sergei V Ketov. This book was released on 1995-02-28. Available in PDF, EPUB and Kindle. Book excerpt: Conformal field theory is an elegant and powerful theory in the field of high energy physics and statistics. In fact, it can be said to be one of the greatest achievements in the development of this field. Presented in two dimensions, this book is designed for students who already have a basic knowledge of quantum mechanics, field theory and general relativity. The main idea used throughout the book is that conformal symmetry causes both classical and quantum integrability. Instead of concentrating on the numerous applications of the theory, the author puts forward a discussion of the general methods of conformal field theory as a physical theory. Hence the book provides in a self-contained way the necessary knowledge and “conformal” intuition which underline the various applications of conformal field theory. It is aimed to assist students and professionals in the study of the theory from its first principles and in applying the methods in their own research. The first of its kind, this book promises to give a detailed and comprehensive insight into the workings of conformal field theory.

ITEP Lectures in Particle Physics and Field Theory

1999 Science
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Release : 1999
Genre : Science
Kind : eBook
Book Rating : 403/5 ( reviews)

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Book Synopsis ITEP Lectures in Particle Physics and Field Theory by : Mikhail A. Shifman

Download or read book ITEP Lectures in Particle Physics and Field Theory written by Mikhail A. Shifman. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Conformal Field Theory

2009-07-11 Science
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Release : 2009-07-11
Genre : Science
Kind : eBook
Book Rating : 504/5 ( reviews)

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Book Synopsis Introduction to Conformal Field Theory by : Ralph Blumenhagen

Download or read book Introduction to Conformal Field Theory written by Ralph Blumenhagen. This book was released on 2009-07-11. Available in PDF, EPUB and Kindle. Book excerpt: Based on class-tested notes, this text offers an introduction to Conformal Field Theory with a special emphasis on computational techniques of relevance for String Theory. It introduces Conformal Field Theory at a basic level, Kac-Moody algebras, one-loop partition functions, Superconformal Field Theories, Gepner Models and Boundary Conformal Field Theory. Eventually, the concept of orientifold constructions is explained in detail for the example of the bosonic string. In providing many detailed CFT calculations, this book is ideal for students and scientists intending to become acquainted with CFT techniques relevant for string theory but also for students and non-specialists from related fields.

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