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Low-energy limit of the extended Linear Sigma Model

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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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Authors and Affiliations

  1. Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität, Max-von-Laue-Str. 1, 60438, Frankfurt am Main, Germany

    Florian Divotgey, Francesco Giacosa & Dirk H. Rischke

  2. Institute for Particle and Nuclear Physics, Wigner Research Center for Physics, Hungarian Academy of Sciences, H-1525, Budapest, Hungary

    Peter Kovacs

  3. ExtreMe Matter Institute, GSI Helmholtzzentrum für Schwerionenforschung, Planckstrasse 1, 64291, Darmstadt, Germany

    Peter Kovacs

  4. Institute of Physics, Jan-Kochanowski University, ul. Swietokrzyska 15, 25-406, Kielce, Poland

    Francesco Giacosa

  5. Interdisciplinary Center for Theoretical Study and Department of Modern Physics, University of Science and Technology of China, 230026, Hefei, Anhui, China

    Dirk H. Rischke

Authors
  1. Florian Divotgey
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  2. Peter Kovacs
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  3. Francesco Giacosa
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  4. Dirk H. Rischke
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Correspondence to Florian Divotgey.

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Communicated by R. Alkofer

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Divotgey, F., Kovacs, P., Giacosa, F. et al. Low-energy limit of the extended Linear Sigma Model. Eur. Phys. J. A 54, 5 (2018). https://doi.org/10.1140/epja/i2018-12458-9

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  • DOI: https://doi.org/10.1140/epja/i2018-12458-9

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