Statistical approach to quantum field theory [2nd ed.] : an introduction
By: Wipf, Andreas.
Series: The lecture notes in physics [LNP]. / edited by Roberta Citro ...[et al.]; v. 992.Publisher: Switzerland Springer 2021Edition: 2nd ed.Description: xxiv, 554p.ISBN: 9783030832629.Subject(s): Quantum field theory | Quantum field theory -- Mathematics | Mathematical physics | Quantum theory | Quantum theory | Statistical physicsDDC classification: 530.15 | W741s2 Summary: This 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.| Item type | Current location | Collection | Call number | Status | Date due | Barcode | Item holds |
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Books
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PK Kelkar Library, IIT Kanpur | General Stacks | 530.15 W741s2 (Browse shelf) | Available | A185579 |
Browsing PK Kelkar Library, IIT Kanpur Shelves , Collection code: General Stacks Close shelf browser
| 530.15 W185i Introduction to theoretical physics | 530.15 W635I Introduction to path-integral methods in physics and polymer science | 530.15 W635i cop.2 INTRODUCTION TO PATH-INTEGRAL METHODS IN PHYSICS AND POLYMER SCIENCE | 530.15 W741s2 Statistical approach to quantum field theory [2nd ed.] | 530.15 W874I INTRODUCTION TO MATHEMATICAL PHYSICS | 530.15 W884 MATHEMATICS FOR PHYSICS | 530.15 W976M MATHEMATICAL METHODS FOR PHYSICS |
This 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.
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