Effective Critical Exponents from Finite Temperature Renormalization Group

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Effective critical exponents for the λϕ^4 scalar field theory are calculated as a function of the renormalization group block size k_o^{-1} and inverse critical temperature β_c. Exact renormalization group equations are presented up to first order in the derivative expansion and numerical solutions are obtained with and without polynomial expansion of the blocked potential. For a finite temperature system in d dimensions, it is shown that \barβ_c = β_c k_o determines whether the d-dimensional (\barβ_c << 1) or (d+1)-dimensional (\barβ_c >> 1) fixed point governs the phase transition. The validity of a polynomial expansion of the blocked potential near criticality is also addressed.
RevTeX, 8 pages, Short version of hep-th/9604125

Keywords

High Energy Physics - Theory

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/54574

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/9604192
 http://arxiv.org/abs/hep-th/9604192

Collections

arXiv