English

Analytical Solutions of Exact Renormalization Group Equations

High Energy Physics - Theory 2008-11-26 v1

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.

Keywords

Cite

@article{arxiv.hep-th/9512073,
  title  = {Analytical Solutions of Exact Renormalization Group Equations},
  author = {N. Tetradis and D. F. Litim},
  journal= {arXiv preprint arXiv:hep-th/9512073},
  year   = {2008}
}

Comments

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

R2 v1 2026-07-22T15:57:29.767Z