The technique of decomposing Feynman diagrams at the one loop level into elementary integrals is generalized to the imaginary time Matsubara formalism. The three lowest integrals, containing one, two, and three particle lines, are provided in a form that separates out the real and imaginary parts of
One-Loop Self Energies at Finite Temperature
✍ Scribed by André Peshier; Klaus Schertler; Markus H. Thoma
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 774 KB
- Volume
- 266
- Category
- Article
- ISSN
- 0003-4916
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✦ Synopsis
The complete one-loop self energies (real and imaginary parts) for photons, gluons, electrons, and quarks at finite temperature are calculated numerically and compared to the results of the hard thermal loop (HTL) approximation used for the resummation technique of Braaten and Pisarski. In this way some light is shed on the validity of the weak coupling limit assumption ( g< <1) or equivalently the high temperature assumption, on which the HTL approximation is based. Furthermore, the gauge dependence of the fermion self energy beyond the HTL approximation is considered. Finally the dispersion relations following from the real part of the self energies are compared to the HTL results.
📜 SIMILAR VOLUMES
The properties of the self-energy of single-particle states in different many-body systems are studied as a function of the excitation energy | and of the temperature T of the system. Two cases are considered: the coupling to uncorrelated and to correlated particle-hole excitations.