Rotation induced charged pion condensation in a strong magnetic field: A Nambu–Jona-Lasino model study

Gaoqing Cao and Lianyi He
Phys. Rev. D 100, 094015 – Published 14 November 2019

Abstract

We investigate the possibility of charged pion condensation in the presence of parallel rotation and magnetic field within the Nambu–Jona-Lasinio model with quarks as the fundamental degrees of freedom. Previous study based on noninteracting Klein-Gordon theory for pions showed that the charged pions will undergo Bose-Einstein condensation under this circumstance [Y. Liu and I. Zahed, Phys. Rev. Lett. 120, 032001 (2018).]. In this work, we take into account the internal quark structures of charged pions self-consistently through quark polarization loops in an interacting theory, i.e., the Nambu–Jona-Lasino model. The stability of the system against the formation of charged pion condensation, i.e., a nonzero expectation value of the composite charged pion field u¯iγ5d, is explored. We find that two competing effects are induced by the rotation: the isospin enhancement which favors charged pion condensation and the spin breaking which disfavors the condensation. For a strong magnetic field (eB1GeV) and system size of a few fermi, the isospin enhancement effect is stronger than the spin breaking one, and the charged pion condensation becomes energetically favored beyond a critical angular velocity of a few MeV.

  • Figure
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  • Received 31 August 2019

DOI:https://doi.org/10.1103/PhysRevD.100.094015

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Gaoqing Cao1 and Lianyi He2

  • 1School of Physics and Astronomy, Sun Yat-Sen University, Guangzhou 510275, China
  • 2Department of Physics, Tsinghua University, Beijing 100084, China

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Issue

Vol. 100, Iss. 9 — 1 November 2019

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