The technique of decomposing Feynman diagrams at the one loop level in
to elementary integrals is generalized to the imaginary time Matsubara
formalism. The three lowest integrals, containing one, two, and three
particle lines, are provided in a form that separates out the real an
d imaginary parts of these complex functions, according to the input a
rguments, in a Fashion that is suitable for numerical evaluation. The
forms given can be evaluated for arbitrary values of temperature, part
icle mass, particle momenta, and chemical potential. (C) 1996 Academic
Press, Inc.