Low-energy theorems of QCD and bulk viscosity at finite temperature and baryon density in a magnetic field

Abstract

The nonperturbative QCD vacuum at finite temperature and a finite baryon density in an external magnetic field is studied. Equations relating nonperturbative condensates to the thermodynamic pressure for $T\ne 0$, ${\mu }_q\ne 0$ and $H\ne 0$ are obtained, and low-energy theorems are derived. A bulk viscosity $\zeta (T,\mu ,H)$ is expressed in terms of basic thermodynamical quantities describing the quark-gluon matter at $T\ne 0$, ${\mu }_q\ne 0$, and $H\ne 0$. Various limiting cases are also considered.

12 pages; v2: title changed, new section about bulk viscosity and new references added; v3: new discussion added

References in corpus (10)

• The Chiral Magnetic Effect
• QCD Phase Transition in a Strong Magnetic Background
• Chiral transition in a strong magnetic background
• Bulk viscosity of QCD matter near the critical temperature
• Chiral Properties of Strong Interactions in a Magnetic Background
• Quark-hadron phase transition in a magnetic field
• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• Thermal pions in a magnetic background
• The chiral transition in a magnetic background: Finite density effects and the functional renormalization group
• The finite temperature QCD transition in external magnetic fields

Cited by in corpus (15)

• Anisotropic transport properties of Hadron Resonance Gas in magnetic field
• Bulk and shear viscosities of hot and dense hadron gas
• Anisotropic electrical conductivity of magnetized hot quark matter
• Magnetic field in expanding quark-gluon plasma
• Kubo estimation of the electrical conductivity for a hot relativistic fluid in the presence of a magnetic field
• Impact of magnetic field on shear viscosity of quark matter in Nambu-Jona-Lasinio model
• Transport properties of hadronic matter in magnetic field
• One-loop Kubo estimations of the shear and bulk viscous coefficients for hot and magnetized Bosonic and Fermionic systems
• Quantum expression for the electrical conductivity of massless quark matter and of the hadron resonance gas in the presence of a magnetic field
• Effect of time-varying electromagnetic field on Wiedemann-Franz law in a hot hadronic matter
• Quantum version of transport coefficients in Nambu--Jona-Lasinio model at finite temperature and strong magnetic field
• Thermoelectric Thomson coefficient of quark-gluon plasma in the presence of a time-varying magnetic field
• Low-energy relation for the trace of the energy-momentum tensor in QCD and the gluon condensate in a magnetic field
• Phonon spectrum of QCD vacuum in magnetic-field-induced superconducting phase
• Thermoelectric figure of merit and the deconfinement phase transition