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Research PapersNo Access

CHARGED PION CONDENSATION PHENOMENON OF DENSE BARYONIC MATTER INDUCED BY FINITE VOLUME: THE NJL₂ MODEL CONSIDERATION

Institute of Physics, Humboldt-University Berlin, 12489 Berlin, Germany

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

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IHEP and University "Dubna" (Protvino Branch), 142281 Protvino, Moscow Region, Russia

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V. CH. ZHUKOVSKY

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

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https://doi.org/10.1142/S0217751X1250162XCited by:33 (Source: Crossref)

Abstract

The properties of two-flavored massless Nambu–Jona-Lasinio (NJL) model in (1+1)-dimensional R¹ × S¹ space–time with compactified space coordinate are investigated in the presence of isospin and quark number chemical potentials μ_I, μ. The consideration is performed in the large N_c limit, where N_c is the number of colored quarks. It is shown that at L = ∞ (L is the length of the circumference S¹) the charged pion condensation (PC) phase with zero quark number density is realized at arbitrary nonzero μ_I and for rather small values of μ. However, at arbitrary finite values of L the phase portrait of the model contains the charged PC phase with nonzero quark number density (in the case of periodic boundary conditions for quark fields). Hence, finite sizes of the system can serve as a factor promoting the appearance of the charged PC phase in quark matter with nonzero baryon densities. In contrast, the phase with chiral symmetry breaking may exist only at rather large values of L.

Keywords:

PACS: 12.38.Aw, 12.38.Lg

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Vol. 27, No. 27

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History

Received 6 September 2012

Accepted 26 September 2012

Published: 29 October 2012

Keywords