Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-01-28
Phys.Rev.D71:065009,2005
Physics
High Energy Physics
High Energy Physics - Phenomenology
9 pages, 1 figure, RevTex
Scientific paper
10.1103/PhysRevD.71.065009
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.
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