The thermal operator representation for Matsubara sums

Abstract

We prove in full generality the thermal operator representation for Matsubara sums in a relativistic field theory of scalar and fermionic particles. It states that the full result of performing the Matsubara sum associated to any given Feynman graph, in the imaginary-time formalism of finite-temperature field theory, can be directly obtained from its corresponding zero-temperature energy integral, by means of a simple linear operator, which is independent of the external Euclidean energies and whose form depends solely on the topology of the graph.

9 pages, 1 figure, RevTex

References in corpus (3)

• JaxoDraw: A graphical user interface for drawing Feynman diagrams
• Scattering amplitudes at finite temperature
• An operator representation for Matsubara sums

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