Nonperturbative canonical formulation and Ward-Takahashi relations for quantum many-body systems at finite temperatures - Toyoda, T. (Elsevier)
A nonperturbative canonical field-theoretic approach to Matsubara's finite temperature quantum many-body theory is presented. The finite temperature Ward-Takahashi relations for the phase transformation, the Galilean transformation and general time-independent continuous transformations are derived for both fermions and bosons with interactions. The finite temperature Ward-Takahashi relations for nonconserved currents and the finite temperature Goldstone's theorem are also discussed.
http://dx.doi.org/10.1016/0003-4916(87)90100-X
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