Gaussian Free Field And Conformal Field Theory PDF Download
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| Author | : Nam-Gyu Kang |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2013 |
| Genre | : Algebraic fields |
| ISBN | : 9782856293690 |
Download Gaussian Free Field and Conformal Field Theory Book in PDF, ePub and Kindle
In these mostly expository lectures, the authors give an elementary introduction to conformal field theory in the context of probability theory and complex analysis. The authors consider statistical fields and define Ward functionals in terms of their Lie derivatives. Based on this approach, the authors explain some equations of conformal field theory and outline their relation to SLE theory.
| Author | : Philippe Francesco |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 908 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 1461222567 |
Download Conformal Field Theory Book in PDF, ePub and Kindle
Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics.
| Author | : Martin Schottenloher |
| Publisher | : Springer |
| Total Pages | : 254 |
| Release | : 2008-09-11 |
| Genre | : Science |
| ISBN | : 3540686282 |
Download A Mathematical Introduction to Conformal Field Theory Book in PDF, ePub and Kindle
The first part of this book gives a self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. The second part surveys some more advanced topics of conformal field theory.
| Author | : Martin T. Barlow |
| Publisher | : Springer Nature |
| Total Pages | : 421 |
| Release | : 2019-12-03 |
| Genre | : Mathematics |
| ISBN | : 3030320111 |
Download Random Graphs, Phase Transitions, and the Gaussian Free Field Book in PDF, ePub and Kindle
The 2017 PIMS-CRM Summer School in Probability was held at the Pacific Institute for the Mathematical Sciences (PIMS) at the University of British Columbia in Vancouver, Canada, during June 5-30, 2017. It had 125 participants from 20 different countries, and featured two main courses, three mini-courses, and twenty-nine lectures. The lecture notes contained in this volume provide introductory accounts of three of the most active and fascinating areas of research in modern probability theory, especially designed for graduate students entering research: Scaling limits of random trees and random graphs (Christina Goldschmidt) Lectures on the Ising and Potts models on the hypercubic lattice (Hugo Duminil-Copin) Extrema of the two-dimensional discrete Gaussian free field (Marek Biskup) Each of these contributions provides a thorough introduction that will be of value to beginners and experts alike.
| Author | : Sergei V Ketov |
| Publisher | : World Scientific |
| Total Pages | : 502 |
| Release | : 1995-02-28 |
| Genre | : Science |
| ISBN | : 9814502529 |
Download Conformal Field Theory Book in PDF, ePub and Kindle
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.
| Author | : Andreas Recknagel |
| Publisher | : Cambridge University Press |
| Total Pages | : 349 |
| Release | : 2013-11-28 |
| Genre | : Mathematics |
| ISBN | : 0521832233 |
Download Boundary Conformal Field Theory and the Worldsheet Approach to D-Branes Book in PDF, ePub and Kindle
A comprehensive introduction to the mathematical description of strings, D-branes and the geometry of strongly curved spacetime.
| Author | : Yavuz Nutku |
| Publisher | : CRC Press |
| Total Pages | : 342 |
| Release | : 2018-03-14 |
| Genre | : Science |
| ISBN | : 042998250X |
Download Conformal Field Theory Book in PDF, ePub and Kindle
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.
| Author | : M Jimbo |
| Publisher | : Elsevier |
| Total Pages | : 439 |
| Release | : 2012-12-02 |
| Genre | : Science |
| ISBN | : 0323150357 |
Download Conformal Field Theory and Solvable Lattice Models Book in PDF, ePub and Kindle
Advanced Studies in Pure Mathematics, 16: Conformal Field Theory and Solvable Lattice Models contains nine papers based on the symposium "Conformal field theory and solvable lattice models" held at RIMS, Kyoto, May 1986. These papers cover the following active areas in mathematical physics: conformal field theory, solvable lattice models, affine and Virasoro algebra, and KP equations. The volume begins with an analysis of 1 and 2 point correlation functions of the Gibbs measure of random matrices. This is followed by separate chapters on solvable solid-on-solid (SOS) models; lectures on conformal field theory; the construction of Fermion variables for the 3D Ising Model; and vertex operator construction of null fields (singular vertex operators) based on the oscillator representation of conformal and superconformal algebras with central charge extention. Subsequent chapters deal with Hecke algebra representations of braid groups and classical Yang-Baxter equations; the relationship between the conformal field theories and the soliton equations (KdV, MKdV and Sine-Gordon, etc.) at both quantum and classical levels; and a supersymmetric extension of the Kadomtsev-Petviashvili hierarchy.
| Author | : R. Mirman |
| Publisher | : iUniverse |
| Total Pages | : 313 |
| Release | : 2005-02 |
| Genre | : Science |
| ISBN | : 0595336922 |
Download Quantum Field Theory Conformal Group Theory Conformal Field Theory Book in PDF, ePub and Kindle
The conformal group is the invariance group of geometry (which is not understood), the largest one. Physical applications are implied, as discussed, including reasons for interactions. The group structure as well as those of related groups are analyzed. An inhomogeneous group is a subgroup of a homogeneous one because of nonlinearities of the realization. Conservation of baryons (protons can't decay) is explained and proven. Reasons for various realizations, so matrix elements, of the Lorentz group given. The clearly relevant mass level formula is compared with experimental values. Questions, implications and possibilities, including for differential equations, are raised.
| Author | : Toshitake Kohno |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 188 |
| Release | : 2002 |
| Genre | : Mathematics |
| ISBN | : 9780821821305 |
Download Conformal Field Theory and Topology Book in PDF, ePub and Kindle
Geometry and physics have been developed with a strong influence on each other. One of the most remarkable interactions between geometry and physics since 1980 has been an application of quantum field theory to topology and differential geometry. This book focuses on a relationship between two-dimensional quantum field theory and three-dimensional topology which has been studied intensively since the discovery of the Jones polynomial in the middle of the 1980s and Witten's invariantfor 3-manifolds derived from Chern-Simons gauge theory. An essential difficulty in quantum field theory comes from infinite-dimensional freedom of a system. Techniques dealing with such infinite-dimensional objects developed in the framework of quantum field theory have been influential in geometryas well. This book gives an accessible treatment for a rigorous construction of topological invariants originally defined as partition functions of fields on manifolds. The book is organized as follows: The Introduction starts from classical mechanics and explains basic background materials in quantum field theory and geometry. Chapter 1 presents conformal field theory based on the geometry of loop groups. Chapter 2 deals with the holonomy of conformal field theory. Chapter 3 treatsChern-Simons perturbation theory. The final chapter discusses topological invariants for 3-manifolds derived from Chern-Simons perturbation theory.
