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Finite-size effects in the Gross-Neveu model with allowance for isospin and baryon chemical potentials

  • Elementary Particles and Fields
  • Theory
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Abstract

The properties of the (1 + 1)-dimensional massless Gross-Neveu model were studied for a compactified space S 1, as well as with allowance for nonzero values of the baryon (µ) and isospin (µ I ) chemical potentials. Our investigation was performed in the limit of a large number of fermion colors, N c . It is shown that, for L→∞(case of an unbounded volume), the pion-condensation phase characterized by zero quark density is formed at any nonzero value of µ I and a small value of µ. For any finite value of L (case of a bounded volume), the phase portrait of the model contains a pion-condensation phase where the quark density is nonzero. Thus, finite dimensions of the system being considered may serve as a factor that facilitates the formation of a pion-condensation phase in quark matter with a nonzero baryon density. At the same time, the phase where chiral symmetry is broken may exist only at very large values of L.

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Authors and Affiliations

  1. Faculty of Physics, Moscow State University, Moscow, 119991, Russia

    V. Ch. Zhukovsky & T. G. Khunjua

  2. Institute for High Energy Physics, pl. Nauki 1, Protvino, Moscow oblast, 142281, Russia

    K. G. Klimenko

  3. Institut für Physik, Humboldt-Universität zu Berlin, Newtonstraße 15, 12489, Berlin, Germany

    D. Ebert

Authors
  1. V. Ch. Zhukovsky
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  2. K. G. Klimenko
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  3. T. G. Khunjua
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  4. D. Ebert
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Correspondence to V. Ch. Zhukovsky.

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Original Russian Text © V.Ch. Zhukovsky, K.G. Klimenko, T.G. Khunjua, D. Ebert, 2014, published in Yadernaya Fizika, 2014, Vol. 77, No. 6, pp. 839–847.

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Zhukovsky, V.C., Klimenko, K.G., Khunjua, T.G. et al. Finite-size effects in the Gross-Neveu model with allowance for isospin and baryon chemical potentials. Phys. Atom. Nuclei 77, 795–803 (2014). https://doi.org/10.1134/S1063778814060155

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  • DOI: https://doi.org/10.1134/S1063778814060155

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