Helical massive fermions under rotation

Abstract

The properties of a massive fermion field undergoing rigid rotation at finite temperature and chemical potential are discussed. The polarisation imbalance is taken into account by considering a helicity chemical potential, which is dual to the helicity charge operator. The advantage of the proposed approach is that, as opposed to the axial current, the helicity charge current remains conserved at finite mass. A computation of thermal expectation values of the vector, helicity and axial charge currents, as well as of the fermion condensate and stress-energy tensor is provided. In all cases, analytic constitutive equations are derived for the non-equilibrium transport terms, as well as for the quantum corrections to the equilibrium terms (which are derived using an effective relativistic kinetic theory model for fermions with helicity imbalance) in the limit of small masses. In the context of the parameters which are relevant to relativistic heavy ion collisions, the expressions derived in the massless limit are shown to remain valid for masses up to the thermal energy, except for the axial charge conductivity in the azimuthal direction, which presents strong variations with the particle mass.

arXiv comment68 pages, 13 figures, 1 table

References in corpus (43)

• The Chiral Magnetic Effect
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Gravitational Anomaly and Transport
• Hydrodynamic Transport Coefficients in Relativistic Scalar Field Theory
• Relativistic distribution function for particles with spin at local thermodynamical equilibrium
• Chiral Magnetic conductivity
• Basics of thermal field theory -- a tutorial on perturbative computations
• Relativistic fluid dynamics with spin
• Kinetic theory for massive spin-1/2 particles from the Wigner-function formalism
• Holographic Gravitational Anomaly and Chiral Vortical Effect
• Pairing Phase Transitions of Matter under Rotation
• Spin tensor and its role in non-equilibrium thermodynamics
• Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid
• Boundary effects and gapped dispersion in rotating fermionic matter
• Thermodynamic versus kinetic approach to polarization-vorticity coupling
• Anomalous Transport from Kubo Formulae
• The renormalized stress tensor in Kerr space-time: general results
• Effects of rotation and boundaries on chiral symmetry breaking of relativistic fermions
• Helicity separation in Heavy-Ion Collisions
• Chiral vortaic effect and neutron asymmetries at NICA
• Rotating quantum states
• Rotating fermions inside a cylindrical boundary
• First order and stable relativistic dissipative hydrodynamics
• Global and local spin polarization in heavy ion collisions: a brief overview
• Quantum corrections to the stress-energy tensor in thermodynamic equilibrium with acceleration
• Hyperon polarization in Heavy-Ion Collisions and gravity-related anomaly
• Kermions: quantization of fermions on Kerr space-time
• Temperature dependence of the axial magnetic effect in two-color quenched QCD
• On axial current in rotating and accelerating medium
• The Rotating Quantum Thermal Distribution
• Edge states and thermodynamics of rotating relativistic fermions under magnetic field
• General thermodynamic equilibrium with axial chemical potential for the free Dirac field
• Is Hyperon Polarization in Relativistic Heavy Ion Collisions Connected to Axial U(1) Symmetry Breaking at High Temperature?
• Chiral Relaxation Time at the Crossover of Quantum Chromodynamics
• Thermodynamic equilibrium of massless fermions with vorticity, chirality and electromagnetic field
• Exact solution of the (0+1)-dimensional Boltzmann equation for massive Bose-Einstein and Fermi-Dirac gases
• Divergence of a quantum thermal state on Kerr space-time
• Maxwell-Juttner distribution for rigidly-rotating flows in spherically symmetric spacetimes using the tetrad formalism
• Shear viscosity, Bulk viscosity and Relaxation Times of Causal Dissipative Relativistic Fluid-Dynamics at Finite Temperature and Chemical Potential
• Quantum non-equilibrium effects in rigidly-rotating thermal states
• Global equilibrium and local thermodynamics in stationary spacetimes
• Fermion condensation under rotation on anti-de Sitter space

Cited by in corpus (20)

• Spin polarization dynamics in the Gubser-expanding background
• Hydrodynamic helicity polarization in relativistic heavy ion collisions
• BCS in the Sky: Signatures of Inflationary Fermion Condensation
• Hyperon--anti-hyperon polarization asymmetry in relativistic heavy-ion collisions as an interplay between chiral and helical vortical effects
• Spin waves in spin hydrodynamics
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Phase diagram of helically imbalanced QCD matter
• Hydrodynamic manifestations of gravitational chiral anomaly
• Exact solutions in quantum field theory under rotation
• Chiral symmetry breaking in accelerating and rotating frames
• Helical Separation Effect and helical heat transport for Dirac fermions
• Firewall boundaries and mixed phases of rotating quark matter in linear sigma model
• Vortical waves in a quantum fluid with vector, axial, and helical charges. I. Non-dissipative transport
• The Chiral Phase Transitions of Helical Matter
• Vortical Effects for Free Fermions on Anti-De Sitter Space-Time
• Vortical waves in a quantum fluid with vector, axial and helical charges. II. Dissipative effects
• Helicity polarization in relativistic heavy ion collisions
• On the local thermodynamic relations in relativistic spin hydrodynamics
• Dirac fermions under imaginary rotation
• Chiral vortical conductivities and the moment of inertia of a rigidly rotating Fermi gas