Thermodynamics of the system of massive Dirac fermions in a uniform magnetic field

Abstract

We construct the grand partition function of the system of massive Dirac fermions in a uniform magnetic field from Landau levels, through which all thermodynamic quantities can be obtained. Making use of the Abel-Plana formula, these thermodynamic quantities can be expanded as power series with respect to the dimensionless variable $b=2eB/T^2$. The zero-field magnetic susceptibility is expanded at zero mass, and the leading order term is logarithmic. We also calculate scalar, vector current, axial vector current and energy-momentum tensor of the system through ensemble average approach. Mass correction to chiral separation effect is discussed. For massless chiral fermions, our results recover the chiral magnetic effect for right- and left-handed fermions, as well as chiral separation effect.

arXiv comment22 pages. arXiv admin note: text overlap with arXiv:2005.08512

References in corpus (31)

• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Anomalous Axion Interactions and Topological Currents in Dense Matter
• Quantum Anomalies in Dense Matter
• Berry curvature and 4-dimensional monopole in relativistic chiral kinetic equation
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Relativistic Chiral Kinetic Theory from Quantum Field Theories
• Schwinger pair production in space- and time-dependent electric fields: Relating the Wigner formalism to quantum kinetic theory
• Magnetic field-induced gluonic (inverse) catalysis and pressure (an)isotropy in QCD
• Anomalous chiral transports and spin polarization in heavy-ion collisions
• Analytic results for the effective action
• Disentangling covariant Wigner functions for chiral fermions
• Radiative corrections to chiral separation effect in QED
• Global Constraints from RHIC and LHC on Transport Properties of QCD Fluids in CUJET/CIBJET Framework
• Temperature Expansions for Magnetic Systems
• Magnetic susceptibility of QCD matter and its decomposition from the lattice
• Wigner function and pair production in parallel electric and magnetic fields
• On Mass correction to Chiral Vortical Effect and Chiral Separation Effect
• Wigner functions of massive fermions in strong magnetic fields
• Magnetic catalysis and the chiral condensate in holographic QCD
• Dirac sea and chiral anomaly in the quantum kinetic theory
• Fluctuation and Dissipation of Axial Charge from Massive Quarks
• Second-order Charge Currents and Stress Tensor in Chiral System
• Massless Limit of Transport Theory for Massive Fermions
• The QED Radiative Corrections to Chiral Magnetic Effect
• Chiral magnetic effect for chiral fermion system
• Magnetic Field of a Compact Spherical Star under f(R,T) Gravity
• QCD phase structure in strong magnetic fields
• Thermodynamics of Chiral Fermion System in a Uniform Magnetic Field
• Deconfinement Phase Transition with External Magnetic Field in Friedberg-Lee Model

Cited by in corpus (4)

• Lambda polarization in ${}^{108}$Ag +${}^{108}$Ag and ${}^{197}$Au +${}^{197}$Au collisions around a few GeV
• Electromagnetic fields in ultra-peripheral relativistic heavy-ion collisions
• Impact of nuclear structure on the CME background in ${}_{44}^{96}$Ru + ${}_{44}^{96}$Ru and ${}_{40}^{96}$Zr + ${}_{40}^{96}$Zr collisions at $\sqrt{s_{NN}}$ = 7.7 $\sim$ 200 GeV from a multiphase transport model
• Axial Chiral Vortical Effect in a Sphere with finite size effect