000			02117 a2200277 4500
003			OSt
020			_a9783030832629
040			_cIIT Kanpur
041			_aeng
082			_a530.15 _bW741s2
100			_aWipf, Andreas
245			_aStatistical approach to quantum field theory [2nd ed.] _ban introduction _cAndreas Wipf
250			_a2nd ed.
260			_bSpringer _c2021 _aSwitzerland
300			_axxiv, 554p
440			_aThe lecture notes in physics [LNP]
490			_a/ edited by Roberta Citro ...[et al.]; v. 992
520			_aThis 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.
650			_aQuantum field theory
650			_aQuantum field theory -- Mathematics
650			_aMathematical physics
650			_aQuantum theory
650			_aQuantum theory
650			_aStatistical physics
942			_cBK
999			_c565387 _d565387