Journal Article

Susceptibilities of rotating quark matter in Fourier-Bessel basis

Mameda, Kazuya, Kawaguchi, Mamiya

2025

Overview

A bstract 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.

• Publisher: Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
• Subject: Approximation / Boundary conditions / Classical and Quantum Gravitation / Correlation / Effective Field Theories of QCD / Elementary Particles / Finite Temperature or Finite Density / Flavor (particle physics) / Fourier-Bessel transformations / Incompatibility / Moments of inertia / Phase Diagram or Equation of State / Phase transitions / Physics / Physics and Astronomy / Plane waves / Quantum Field Theories / Quantum Field Theory / Quantum Physics / Quarks / Regular Article - Theoretical Physics / Relativity Theory / Rotating cylinders / Rotating matter / Rotation / Spacetime / String Theory / Symmetry / Temperature