Statistical Physics (Book)
Statistical physics is commonly introduced in physics education as the physics of thermodynamics in gases and solids. This is wrong. Firstly, the standard courses neglect what Landau does, deriving the macroscopic concepts from probabilistic (but ultimately deterministic) microscopic motion. Souriau takes this further. Statistical mechanics like classical mechanics is based on symplectic geometry, but with the added ingredient of measures. This geometric approach to statistical mechanics leads us eventually to statistical field theory and stochastic quantization with lattice statistical mechanics as a stepping stone to the continuum limit - this makes the connection to quantum field theory manifest. Statistical field theory and stochastic quantization were first coined and motivated by Parisi, who started to make the analogies between e.g. statistical correlation functions and quantum field theory propagators rigorous.
| Quantum Electrodynamics | |
| |
| Information | |
|---|---|
| Author | Lev Landau |
| Language | English |
| Series | Course of Theoretical Physics |
| Publisher | Butterworth Heinemann |
| Publication Date | 1982 |
| Pages | 669 |
| ISBN-13 | 978-0-08-050346-2 |
Applications
The Quantum Theory of Fields 1, Foundations
Foundations of Quantum Field Theory by Steven Weinberg
Applications of Lie Groups to Differential Equations
The Quantum Theory of Fields 2, Gauge Theory by Steven Weinberg.
Quantum Fields and Strings: A Course for Mathematicians
Axiomatic classical and quantum field theory for mathematicians.
Local Quantum Physics: Fields, Particles, Algebras
C*-algebraic quantum field theory by Rudolph Haag.
Noncommutative Geometry, Quantum Fields and Motives
Noncommutative Geometry, Quantum Fields and Motives by Alain Connes and Matilde Marcolli.
Renormalization and Effective Field Theory
Renormalization and Effective Field theory by Kevin Costello
Conformal Field Theory
Conformal Field theory by Philippe Di Francesco, Pierre Mathieu, and David Sénéchal.
Vertex Algebras for Beginners
Vertex Algebras for Beginners by Victor Kac.
Vertex Algebras and Algebraic Curves
Vertex Algebras and Algebraic Curves by Edward Frenkel and David Ben-Zvi.