Invariant formulation of the functional renormalization group method for U(n)×U(n) symmetric matrix models

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Abstract

The Local Potential Approximation (LPA) to the Wetterich-equation is formulated explicitly in terms of operators, which are invariant under the U(n)×U(n) symmetry group. Complete formulas are presented for the two-flavor (U(2)×U(2)) case. The same approach leads to a unique natural truncation of the functional driving the renormalization flow of the potential of the three-flavor case (U(3)×U(3)). The procedure applied to the SU(3)×SU(3) symmetric theory, results in an equation, which potentially allows an RG-investigation of the effect of the 't Hooft term representing the U A(1) anomaly, disentangled from the other operators.

Original languageEnglish
Article number1250212
JournalModern Physics Letters A
Volume27
Issue number36
DOIs
Publication statusPublished - Nov 30 2012

Keywords

  • Renormalization group
  • chiral symmetry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics
  • Physics and Astronomy(all)

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