Renormalization in selfconsistent approximations schemes at finite temperature. 1. Theory
Jul, 200125 pages
Published in:
- Phys.Rev.D 65 (2002) 025010
e-Print:
- hep-ph/0107200 [hep-ph]
Report number:
- GSI-PREPRINT-2001-21
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Abstract:
Within finite temperature field theory, we show that truncated non-perturbative self-consistent Dyson resummation schemes can be renormalized with local counter-terms defined at the vacuum level. The requirements are that the underlying theory is renormalizable and that the self-consistent scheme follows Baym''s -derivable concept. The scheme generates both, the renormalized self-consistent equations of motion and the closed equations for the infinite set of counter terms. At the same time the corresponding 2PI-generating functional and the thermodynamical potential can be renormalized, in consistency with the equations of motion. This guarantees the standard -derivable properties like thermodynamic consistency and exact conservation laws also for the renormalized approximation schemes to hold. The proof uses the techniques of BPHZ-renormalization to cope with the explicit and the hidden overlapping vacuum divergences.- 11.10.Gh
- field theory: finite temperature
- renormalization
- vacuum state
- bootstrap
- nonperturbative
- potential: thermodynamical
- phi**n model: 4
- propagator
- Bethe-Salpeter equation
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