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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Statistical Approach to Quantum Field Theory - An Introduction (Paperback, 2nd ed. 2021)
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Statistical Approach to Quantum Field Theory - An Introduction (Paperback, 2nd ed. 2021)
Series: Lecture Notes in Physics, 992
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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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