Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-04-30
Phys.Rev. D69 (2004) 065004
Physics
High Energy Physics
High Energy Physics - Phenomenology
4 figures; references added, minor changes in notation, final version accepted for publication
Scientific paper
10.1103/PhysRevD.69.065004
In the context of the imaginary-time formalism for a scalar thermal field theory, it is shown that the result of performing the sums over Matsubara frequencies associated with loop Feynman diagrams can be written, for some classes of diagrams, in terms of the action of a simple linear operator on the corresponding energy integrals of the Euclidean theory at T=0. In its simplest form the referred operator depends only on the number of internal propagators of the graph. More precisely, it is shown explicitly that this \emph{thermal operator representation} holds for two generic classes of diagrams, namely, the two-vertex diagram with an arbitrary number of internal propagators, and the one-loop diagram with an arbitrary number of vertices. The validity of the thermal operator representation for diagrams of more complicated topologies remains an open problem. Its correctness is shown to be equivalent to the correctness of some diagrammatic rules proposed a few years ago.
Espinosa Olivier
Stockmeyer Edgardo
No associations
LandOfFree
An operator representation for Matsubara sums does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with An operator representation for Matsubara sums, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An operator representation for Matsubara sums will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-272258