Analytical Solutions of Exact Renormalization Group Equations

Abstract

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.

20 pages, 5 uuencoded figures, uses equations.sty, major revision of hep-th/9501042 (different cutoff functions used such that the solutions become exact in the large N limit), to appear in Nucl. Phys. B

References in corpus (1)

• Exact evolution equation for the effective potential

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