2017/02/27 by M. N. Chernodub, Shinya Gongyo · 101 citations
Mathematics · Physics and Astronomy · #Chiral anomaly #Chiral symmetry #Chiral symmetry breaking #Explicit symmetry breaking #Fermion #Geometry #High-Energy Particle Collisions Research #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quark #Rotation (mathematics) #Spontaneous symmetry breaking #Symmetry (geometry) #Symmetry breaking #Theoretical physics #cond-mat.other #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.95.096006
published in Physical review. D/Physical review. D. 95(9) (American Physical Society) · 10 pages, 9 figures
arxiv created 2017/02/27 · openalex publication_date 2017/05/17 · arxiv updated 2017/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 \mathrm\ensuremathΘ. We find that, at any value of \mathrm\ensuremathΘ, the chiral restoration temperature Tc decreases as a quadratic function of the angular frequency \mathrm\ensuremathΩ. However, the position and the slope of the critical curve Tc=Tc(\mathrm\ensuremathΩ) in the phase diagram depend noticeably on the value of the chiral angle.