Susceptibilities of rotating quark matter in Fourier-Bessel basis

Abstract

We analyze various two-point correlation functions of fermionic bilinears in a rotating finite-size cylinder at finite temperatures, with a focus on susceptibility functions. Due to the noninvariance of radial translation, the susceptibility functions are constructed using the Dirac propagator in the Fourier-Bessel basis instead of the plane-wave basis. As a specific model to demonstrate the susceptibility functions in an interacting theory, we employ the two-flavor Nambu-Jona-Lasinio model. We show that the incompatibility between the mean-field analysis and the Fourier-Bessel basis is evaded under the local density approximation, and derive the resummation formulas of susceptibilities with the help of a Ward-Takahashi identity. The resulting formulation reveals the rotational effects on meson, baryon number, and topological susceptibilities, as well as the moment of inertia. Our results may serve a useful benchmark for future lattice QCD simulations in rotating frames.

27 pages, 8 figures

References in corpus (21)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Interacting fermions in rotation: chiral symmetry restoration, moment of inertia and thermodynamics
• Gluodynamics and deconfinement phase transition under rotation from holography
• Boundary effects and gapped dispersion in rotating fermionic matter
• Influence of relativistic rotation on the confinement/deconfinement transition in gluodynamics
• Deconfining Phase Boundary of Rapidly Rotating Hot and Dense Matter and Analysis of Moment of Inertia
• Phase diagram of holographic thermal dense QCD matter with rotation
• Inhomogeneity of rotating gluon plasma and Tolman-Ehrenfest law in imaginary time: lattice results for fast imaginary rotation
• Negative moment of inertia and rotational instability of gluon plasma
• Deconfinement Temperature of Rotating QGP at Intermediate Coupling from $\mathcal{M}$-Theory
• Thermal phase transitions in rotating QCD with dynamical quarks
• New mixed inhomogeneous phase in vortical gluon plasma: first-principle results from rotating SU(3) lattice gauge theory
• Rotating gluon system and confinement
• Analysis on nonperturbative flavor violation at chiral crossover criticality in QCD
• Deconfinement transition in the revolving bag model
• Fate of the topological susceptibility in two-color dense QCD
• Inhomogeneous confinement and chiral symmetry breaking induced by imaginary angular velocity
• Nonperturbative Flavor Breaking in Topological Susceptibility at Chiral Crossover
• New aspect of chiral and axial breaking in QCD
• Imaginary Rotating Gluonic Matter at Strong Coupling
• Preponderant Orbital Polarization in Relativistic Magnetovortical Matter