Green’s Functions at Finite Temperatures
Experiments are done at finite temperatures. Since one goal of many-body theory is to explain experiments (another is to predict them), we should do our theories at finite temperatures. This is often unnecessary if the temperature is small compared to other energies in the problem. But often temperature is important, and here we shall learn how to incorporate it into Green’s functions. The finite temperature formalism was originated by Matsubara. It will actually be easier to use than the zero temperature theory of Chapter 2, so that we shall use the Matsubara method throughout the remainder of the book. The zero temperature result is always easily obtained from the finite temperature result by just setting T= 0.
KeywordsSpectral Function Finite Temperature Kubo Formula Wigner Distribution Function Retarded Function
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