Ft. Brandt et Dgc. Mckeon, BARTON EXPANSION AND THE PATH-INTEGRAL APPROACH IN THERMAL FIELD-THEORY, Physical review. D. Particles and fields, 54(10), 1996, pp. 6435-6443
It has been shown how on-shell forward scattering amplitudes (the ''Ba
rton expansion'') and the quantum-mechanical path integral (QMPI) can
both be used to compute temperature-dependent effects in thermal field
theory. We demonstrate the equivalence of these two approaches and th
en apply the QMPI to compute the high temperature expansion for the fo
ur-point function in QED, obtaining results identical to those previou
sly obtained from the Barton expansion.