Friday, November 15, 2013

Statistical Approach to Quantum Field Theory: An Introduction

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Statistical Approach to Quantum Field Theory: An Introduction Title: Statistical Approach to Quantum Field Theory: An Introduction
Author: Andreas Wipf
Publisher: 2012-10-29
Format: Online PDF (420 pages, 8MB)
Language: English
ISBN-10: 3642331041
ISBN-13: 9783642331046

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This text is based on the experiment note for graduates and, as such, its style is basic education, requiring only some of the basics of mathematics, physics, statistics, and quantum field theory. However, it also contains some of the more complex concepts can be useful for researchers in this field. Each chapter will have a number of issues-guide the reader to a deeper understanding of some of the material presented in the main text-and, in many cases, there are also a number of lists of programs, short computer useful.

Table of Contents

1 Introduction
2 Path Integrals in Quantum and Statistical Mechanics
3 High-Dimensional Integrals
4 Monte Carlo Simulations in Quantum Mechanics
5 Scalar Fields at Zero and Finite Temperature
6 Classical Spin Models: An Introduction
7 Mean Field Approximation
8 Transfer Matrices, Correlation Inequalities and Roots of Partition Functions
9 High-Temperature and Low-Temperature Expansions
10 Peierls Argument and Duality Transformations
11 Renormalization Group on the Lattice
12 Functional Renormalization Group
13 Lattice Gauge Theories
14 Two-Dimensional Lattice Gauge Theories and Group Integrals
15 Fermions on a Lattice

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