Editing Statistical Physics (Book)
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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. | |||
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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 | |||
From the physics, other genuinely new types of mathematical objects appear: | From the physics, other genuinely new types of mathematical objects appear: | ||
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| cover = Itzykson drouffe statfields2 cover.jpg | | cover = Itzykson drouffe statfields2 cover.jpg | ||
| link = Statistical Field Theory (Book Series) | | link = Statistical Field Theory (Book Series) | ||
| title = === Statistical Field Theory Volume | | title = === Statistical Field Theory Volume 1 === | ||
| desc = Statistical Field Theory Volume 2: Strong Coupling, Monete Carlo Methods, Conformal Field Theory, and Random Systems by Claude Itzykson and Jean-Michel Drouffe. | | desc = Statistical Field Theory Volume 2: Strong Coupling, Monete Carlo Methods, Conformal Field Theory, and Random Systems by Claude Itzykson and Jean-Michel Drouffe. | ||
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| desc = Stochastic Quantization by Mikio Namiki | | desc = Stochastic Quantization by Mikio Namiki | ||
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