Finite Temperature Renormalization of the $(φ^3)_6$- and $(φ^4)_4$-Models at Zero Momentum

Details Finite Temperature Renormalization of the $(φ^3)_6$- and $(φ^4)_4$-Models at Zero Momentum Finite Temperature Renormalization of the $(φ^3)_6$- and $(φ^4)_4$-Models at Zero Momentum

1992-06-22

arxiv.org/abs/hep-ph/9206240v1

Z.Phys. C56 (1992) 601-608

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, plain Latex, NORDITA-92/38 P

Scientific paper

10.1007/BF01474733

A self-consistent renormalization scheme at finite temperature and zero momentum is used together with the finite temperature renormalization group to study the temperature dependence of the mass and the coupling to one-loop order in the $(\phi^3)_6$- and $(\phi^4)_4$-models. It is found that the critical temperature is shifted relative to the naive one-loop result and the coupling constants at the critical temperature get large corrections. In the high temperature limit of the $\phiff$-model the coupling decreases.

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