Low-energy limit of the extended Linear Sigma Model

  • Florian Divotgey
  • Peter Kovacs
  • Francesco Giacosa
  • Dirk H. Rischke
Regular Article - Theoretical Physics
  • 11 Downloads

Abstract.

The extended Linear Sigma Model is an effective hadronic model based on the linear realization of chiral symmetry \( SU(N_{f})_{L} \times SU(N_{f})_{R}\) , 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 \( N_{f}=2\) 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.

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Copyright information

© SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Florian Divotgey
    • 1
  • Peter Kovacs
    • 2
    • 3
  • Francesco Giacosa
    • 1
    • 4
  • Dirk H. Rischke
    • 1
    • 5
  1. 1.Institut für Theoretische PhysikJohann Wolfgang Goethe-UniversitätFrankfurt am MainGermany
  2. 2.Institute for Particle and Nuclear PhysicsWigner Research Center for Physics, Hungarian Academy of SciencesBudapestHungary
  3. 3.ExtreMe Matter InstituteGSI Helmholtzzentrum für SchwerionenforschungDarmstadtGermany
  4. 4.Institute of PhysicsJan-Kochanowski UniversityKielcePoland
  5. 5.Interdisciplinary Center for Theoretical Study and Department of Modern PhysicsUniversity of Science and Technology of ChinaHefeiChina

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