Published January 2018 | Version v1
Journal article Metadata-only

Low-energy limit of the extended Linear Sigma Model

Creators

  • 1. Johann Wolfgang Goethe-Universitaet, Institut fuer Theoretische Physik, Frankfurt am Main (Germany)
  • 2. GSI Helmholtzzentrum fuer Schwerionenforschung, ExtreMe Matter Institute, Darmstadt (Germany)
  • 3. Wigner Research Center for Physics, Hungarian Academy of Sciences, Institute for Particle and Nuclear Physics, Budapest (Hungary)
  • 4. Jan-Kochanowski University, Institute of Physics, Kielce (Poland)
  • 5. University of Science and Technology of China, Interdisciplinary Center for Theoretical Study and Department of Modern Physics, Hefei, Anhui (China)

Description

The extended Linear Sigma Model is an effective hadronic model based on the linear realization of chiral symmetry SU(Nf)L x SU(Nf)R, 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 Nf = 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. (orig.)

Availability note (English)

Available from: http://dx.doi.org/10.1140/epja/i2018-12458-9

Additional details

Identifiers

DOI
10.1140/epja/i2018-12458-9;

Publishing Information

Journal Title
European Physical Journal. A
Journal Volume
54
Journal Issue
1
Journal Page Range
p. 1-14
ISSN
1434-6001

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
49031650
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ACTION INTEGRAL; ASYMPTOTIC SOLUTIONS; AXIAL VECTOR MESONS; CHIRAL SYMMETRY; COUPLING CONSTANTS; DEGREES OF FREEDOM; FLAVOR MODEL; LAGRANGIAN FIELD THEORY; PERTURBATION THEORY; PION-PION INTERACTIONS; POWER SERIES; SCALAR FIELDS; SCATTERING LENGTHS; SIGMA MODEL; SU-2 GROUPS; SYMMETRY BREAKING; VECTOR MESONS
Descriptors DEC
BOSON-EXCHANGE MODELS; BOSONS; COMPOSITE MODELS; DIMENSIONS; ELEMENTARY PARTICLES; FIELD THEORIES; HADRON-HADRON INTERACTIONS; HADRONS; INTEGRALS; INTERACTIONS; LENGTH; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; MESON-MESON INTERACTIONS; MESONS; PARTICLE INTERACTIONS; PARTICLE MODELS; PERIPHERAL MODELS; QUANTUM FIELD THEORY; QUARK MODEL; SERIES EXPANSION; SU GROUPS; SYMMETRY; SYMMETRY GROUPS