Evaluating Real Time Finite Temperature Feynman Amplitudes

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We construct a program to calculate Feynman amplitudes at finite temperature in the real time Keldysh formalism using the symbolic manipulation program {\it Mathematica}. As an example, the usefulness of this program is demonstrated by proving the finite temperature Ward identity for QED in a second order effective theory.
Revtex 24 pages with 4 figures, A Mathematica program for Feynman diagrams added: MathFeynman.nb

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