Screened Perturbation Theory to Three Loops

Details Screened Perturbation Theory to Three Loops Screened Perturbation Theory to Three Loops

2000-07-14

arxiv.org/abs/hep-ph/0007159v2

Phys.Rev. D63 (2001) 105008

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages, 10 figures

Scientific paper

10.1103/PhysRevD.63.105008

The thermal physics of a massless scalar field with a phi^4 interaction is studied within screened perturbation theory (SPT). In this method the perturbative expansion is reorganized by adding and subtracting a mass term in the lagrangian. We consider several different mass prescriptions that generalize the one-loop gap equation to two-loop order. We calculate the pressure and entropy to three-loop order and the screening mass to two-loop order. In contrast to the weak-coupling expansion, the SPT-improved approximations appear to converge even for rather large values of the coupling constant.

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