Analytical Solutions of Exact Renormalization Group Equations

Details Analytical Solutions of Exact Renormalization Group Equations Analytical Solutions of Exact Renormalization Group Equations

1995-12-11

arxiv.org/abs/hep-th/9512073v1

Nucl.Phys.B464:492-511,1996

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 5 uuencoded figures, uses equations.sty, major revision of hep-th/9501042 (different cutoff functions used such that

Scientific paper

10.1016/0550-3213(95)00642-7

We study exact renormalization group equations in the framework of the effective average action. We present analytical solutions for the scale dependence of the potential in a variety of models. These solutions display a rich spectrum of physical behaviour such as fixed points governing the universal behaviour near second order phase transitions, critical exponents, first order transitions (some of which are radiatively induced) and tricritical behaviour.

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