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1 Wipf, Andreas Statistical Approach to Quantum Field Theory I11872 2021 eBook  
2 Wipf, Andreas Statistical Approach to Quantum Field Theory I07452 2013 eBook  
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TitleStatistical Approach to Quantum Field Theory : An Introduction
Author(s)Wipf, Andreas
PublicationCham, Springer International Publishing, 2021.
DescriptionXXIV, 554 p. 133 illus., 47 illus. in color : online resource
Abstract NoteThis new expanded second edition has been totally revised and corrected. The reader finds two complete new chapters. One covers the exact solution of the finite temperature Schwinger model with periodic boundary conditions. This simple model supports instanton solutions ??? similarly as QCD ??? and allows for a detailed discussion of topological sectors in gauge theories, the anomaly-induced breaking of chiral symmetry and the intriguing role of fermionic zero modes. The other new chapter is devoted to interacting fermions at finite fermion density and finite temperature. Such low-dimensional models are used to describe long-energy properties of Dirac-type materials in condensed matter physics. The large-N solutions of the Gross-Neveu, Nambu-Jona-Lasinio and Thirring models are presented in great detail, where N denotes the number of fermion flavors. Towards the end of the book corrections to the large-N solution and simulation results of a finite number of fermion flavors are presented. Further problems are added at the end of each chapter in order to guide the reader to a deeper understanding of the presented topics. This book is meant for advanced students and young researchers who want to acquire the necessary tools and experience to produce research results in the statistical approach to Quantum Field Theory
ISBN,Price9783030832636
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Elementary particles (Physics) 4. Elementary Particles, Quantum Field Theory 5. Mathematical Methods in Physics 6. MATHEMATICAL PHYSICS 7. QUANTUM FIELD THEORY 8. STATISTICAL PHYSICS 9. Theoretical, Mathematical and Computational Physics
Item TypeeBook
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I11872     On Shelf    

2.    
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TitleStatistical Approach to Quantum Field Theory : An Introduction
Author(s)Wipf, Andreas
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2013.
DescriptionXVIII, 390 p. 133 illus : online resource
Abstract NoteOver 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 self-contained introduction to path integrals in Euclidean quantum mechanics and statistical mechanics. The resulting high-dimensional 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 high-performance 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 present-day 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 course-tested 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
ISBN,Price9783642331053
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. Mathematical Methods in Physics 8. Numerical and Computational Physics, Simulation 9. PHYSICS 10. Quantum Field Theories, String Theory 11. QUANTUM FIELD THEORY 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems 14. STRING THEORY
Item TypeeBook
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Please Click here for eBook
Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
I07452     On Shelf    

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