Truncation effects in the functional renormalization group study of spontaneous symmetry breaking

N. Defenu, P. Mati, I. G. Márián, I. Nándori, A. Trombettoni

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Abstract: We study the occurrence of spontaneous symmetry breaking (SSB) for O(N) models using functional renormalization group techniques. We show that even the local potential approximation (LPA) when treated exactly is sufficient to give qualitatively correct results for systems with continuous symmetry, in agreement with the Mermin-Wagner theorem and its extension to systems with fractional dimensions. For general N (including the Ising model N = 1) we study the solutions of the LPA equations for various truncations around the zero field using a finite number of terms (and different regulators), showing that SSB always occurs even where it should not. The SSB is signalled by Wilson-Fisher fixed points which for any truncation are shown to stay on the line defined by vanishing mass beta functions.

Original languageEnglish
Article number141
JournalJournal of High Energy Physics
Volume2015
Issue number5
DOIs
Publication statusPublished - May 1 2015

Keywords

  • Field Theories in Lower Dimensions
  • Renormalization Group
  • Renormalization Regularization and Renormalons
  • Spontaneous Symmetry Breaking

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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