• Open Access

Dynamical generation of low-energy couplings from quark-meson fluctuations

Florian Divotgey, Jürgen Eser, and Mario Mitter
Phys. Rev. D 99, 054023 – Published 26 March 2019

Abstract

We extend our recent computation of the low-energy limit of the linear O(4) quark-meson model. The present analysis focuses on the transformation of the resulting effective action into a nonlinearly realized effective pion action, whose higher-derivative interaction terms are parametrized by so-called low-energy couplings. Their counterparts in the linear model are determined from the functional renormalization group flow of the momentum-dependent four-pion vertex, which is calculated in a fully O(4)-symmetric approximation by including also momentum-dependent σπ interactions as well as σ self-interactions. Consequently, these higher-derivative couplings are dynamically generated solely from quark and meson fluctuations, initialized at a hadronic scale. Despite our restriction to low-energy degrees of freedom, we find that the qualitative features of the fluctuation dynamics allow us to comment on the range of validity and on appropriate renormalization scales for purely pionic effective models.

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  • Received 10 January 2019

DOI:https://doi.org/10.1103/PhysRevD.99.054023

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Florian Divotgey1,*, Jürgen Eser1,†, and Mario Mitter2,‡

  • 1Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität, Max-von-Laue-Straße 1, D-60438 Frankfurt am Main, Germany
  • 2Department of Physics, Brookhaven National Laboratory, Upton, New York 11973, USA

  • *fdivotgey@th.physik.uni-frankfurt.de
  • eser@th.physik.uni-frankfurt.de
  • mitter@bnl.gov

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Issue

Vol. 99, Iss. 5 — 1 March 2019

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