Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-03-05
Phys.Rev. D65 (2002) 076010
Physics
High Energy Physics
High Energy Physics - Phenomenology
17 pages
Scientific paper
10.1103/PhysRevD.65.076010
The analytic properties in the energy variable k_{0} of finite-temperature self-energies are investigated. A typical branch cut results from n particles being emitted into the heat bath and n' being absorbed from the heat bath. There are three main results: First, in addition to the branch points at which the cuts terminate, there are also branch points attached to the cuts along their length. Second, branch points at k_{0}=\pm k are ubiquitous and for massive particles they are essential singularities. Third, in a perturbative expansion using free particle propagators or in a resummed expansion in which the propagator pole occurs at a real energy, the self-energy will have a branch point at the pole location.
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