Statistical Approach to Quantum Field Theory : An Introduction
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The work Statistical Approach to Quantum Field Theory : An Introduction represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Statistical Approach to Quantum Field Theory : An Introduction
Resource Information
The work Statistical Approach to Quantum Field Theory : An Introduction represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Statistical Approach to Quantum Field Theory : An Introduction
 Title remainder
 An Introduction
 Statement of responsibility
 by Andreas Wipf
 Subject

 Quantum Field Theories, String Theory
 Elementary Particles, Quantum Field Theory
 Numerical and Computational Physics
 Mathematical physics
 Quantum theory
 Statistical Physics, Dynamical Systems and Complexity
 Electronic resources
 Quantum theory
 Quantum theory
 Physics
 Physics
 Mathematical physics
 Mathematical physics
 Mathematical Methods in Physics
 Physics
 Language
 eng
 Summary
 Over the past few decades the powerful methods of statistical physics and Euclidean quantum field theory have moved closer together, with common tools based on the use of path integrals. The interpretation of Euclidean field theories as particular systems of statistical physics has opened up new avenues for understanding strongly coupled quantum systems or quantum field theories at zero or finite temperatures. Accordingly, the first chapters of this book contain a selfcontained introduction to path integrals in Euclidean quantum mechanics and statistical mechanics. The resulting highdimensional integrals can be estimated with the help of Monte Carlo simulations based on Markov processes. The most commonly used algorithms are presented in detail so as to prepare the reader for the use of highperformance computers as an “experimental” tool for this burgeoning field of theoretical physics. Several chapters are then devoted to an introduction to simple lattice field theories and a variety of spin systems with discrete and continuous spins, where the ubiquitous Ising model serves as an ideal guide for introducing the fascinating area of phase transitions. As an alternative to the lattice formulation of quantum field theories, variants of the flexible renormalization group methods are discussed in detail. Since, according to our presentday knowledge, all fundamental interactions in nature are described by gauge theories, the remaining chapters of the book deal with gauge theories without and with matter. This text is based on coursetested notes for graduate students and, as such, its style is essentially pedagogical, requiring only some basics of mathematics, statistical physics, and quantum field theory. Yet it also contains some more sophisticated concepts which may be useful to researchers in the field. Each chapter ends with a number of problems – guiding the reader to a deeper understanding of some of the material presented in the main text – and, in most cases, also features some listings of short, useful computer programs
 Image bit depth
 0
 LC call number
 QC5.53
 Literary form
 non fiction
 Series statement
 Lecture Notes in Physics,
 Series volume
 864
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