Eur. Phys. J. A (2018) 54: 5
https://doi.org/10.1140/epja/i2018-12458-9

Regular Article - Theoretical Physics

Low-energy limit of the extended Linear Sigma Model

¹ Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität, Max-von-Laue-Str. 1, 60438, Frankfurt am Main, Germany
² Institute for Particle and Nuclear Physics, Wigner Research Center for Physics, Hungarian Academy of Sciences, H-1525, Budapest, Hungary
³ ExtreMe Matter Institute, GSI Helmholtzzentrum für Schwerionenforschung, Planckstrasse 1, 64291, Darmstadt, Germany
⁴ Institute of Physics, Jan-Kochanowski University, ul. Swietokrzyska 15, 25-406, Kielce, Poland
⁵ Interdisciplinary Center for Theoretical Study and Department of Modern Physics, University of Science and Technology of China, 230026, Hefei, Anhui, China

^* e-mail: fdivotgey@th.physik.uni-frankfurt.de

Received: 14 September 2017
Accepted: 29 December 2017
Published online: 22 January 2018

Abstract

The extended Linear Sigma Model is an effective hadronic model based on the linear realization of chiral symmetry , with (pseudo)scalar and (axial-)vector mesons as degrees of freedom. In this paper, we study the low-energy limit of the extended Linear Sigma Model (eLSM) for flavors by integrating out all fields except for the pions, the (pseudo-)Nambu-Goldstone bosons of chiral symmetry breaking. The resulting low-energy effective action is identical to Chiral Perturbation Theory (ChPT) after choosing a representative for the coset space generated by chiral symmetry breaking and expanding it in powers of (derivatives of) the pion fields. The tree-level values of the coupling constants of the effective low-energy action agree remarkably well with those of ChPT.