Effects of rotation and boundaries on chiral symmetry breaking of relativistic fermions

M. N. Chernodub and Shinya Gongyo
Phys. Rev. D 95, 096006 – Published 17 May 2017

Abstract

In order to avoid unphysical causality-violating effects, any rigidly rotating system must be bounded in directions transverse to the axis of rotation. We demonstrate that this requirement implies substantial dependence of properties of the relativistically rotating system on the boundary conditions. We consider a system of interacting fermions described by the Nambu–Jona-Lasinio model in a space bounded by the cylindrical surface of the finite radius. In order to confine the fermions inside the cylinder, we impose “chiral” MIT boundary conditions on its surface. These boundary conditions are parametrized by a continuous chiral angle Θ. We find that, at any value of Θ, the chiral restoration temperature Tc decreases as a quadratic function of the angular frequency Ω. However, the position and the slope of the critical curve Tc=Tc(Ω) in the phase diagram depend noticeably on the value of the chiral angle.

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  • Received 3 March 2017

DOI:https://doi.org/10.1103/PhysRevD.95.096006

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsInterdisciplinary PhysicsPlasma Physics

Authors & Affiliations

M. N. Chernodub1,2 and Shinya Gongyo1,3

  • 1Laboratoire de Mathématiques et Physique Théorique UMR 7350, Université de Tours, Tours 37200, France
  • 2Laboratory of Physics of Living Matter, Far Eastern Federal University, Sukhanova 8, Vladivostok 690950, Russia
  • 3Theoretical Research Division, Nishina Center, RIKEN, Wako, Saitama 351-0198, Japan

See Also

Edge states and thermodynamics of rotating relativistic fermions under magnetic field

M. N. Chernodub and Shinya Gongyo
Phys. Rev. D 96, 096014 (2017)

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Vol. 95, Iss. 9 — 1 May 2017

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