One Loop Integrals at Finite Temperature and Density

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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32 Pages REVTeX, 9 Figures available as separate file

Scientific paper

10.1006/aphy.1996.0140

The technique of decomposing Feynman diagrams at the one loop level into elementary integrals is generalized to the imaginary time Matsubara formalism. The three lowest integrals, containing one, two and three fermion lines, are provided in a form that separates out the real and imaginary parts of these complex functions, according to the input arguments, in a fashion that is suitable for numerical evaluation. The forms given can be evaluated for arbitrary values of temperature, particle mass, particle momenta and chemical potential.

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