QCD Equation of State at nonzero baryon density in external magnetic field

Abstract

This paper is devoted to the study of QCD equation of state in external magnetic field and nonzero baryon density. Our study is carried out by means of lattice simulation with 2+1 dynamical staggered quarks at the physical masses. The simulation is conducted at imaginary baryon chemical potential what allowed us to overcome the sign problem. We expand the pressure in the baryon imaginary chemical potential and study three leading nonzero coefficients in this expansion. These coefficients were calculated for the following values of magnetic field: $eB=0.3$, $0.6$, $1.2$ GeV${}^2$ with the lattice sizes $8\times 32^3$, $10\times 40^3$, $12\times 48^3$. Using these data we take continuum limit for the coefficients. Our results indicate considerable enhancement of the expansion coefficients by the magnetic field.

arXiv comment8 pages, 4 figures, 3 tables; references updated; version accepted for publication in PRD

References in corpus (41)

• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• The equation of state in (2+1)-flavor QCD
• Estimate of the magnetic field strength in heavy-ion collisions
• Full result for the QCD equation of state with 2+1 flavors
• The QCD equation of state with dynamical quarks
• The QCD phase diagram for external magnetic fields
• Analytic Smearing of SU(3) Link Variables in Lattice QCD
• The QCD transition temperature: results with physical masses in the continuum limit II.
• Equation of state and QCD transition at finite temperature
• QCD Equation of State and Hadron Resonance Gas
• QCD quark condensate in external magnetic fields
• The Chiral Magnetic Effect and Anomaly-Induced Transport
• Dimensional Reduction and Catalysis of Dynamical Symmetry Breaking by a Magnetic Field
• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• QCD equation of state at nonzero chemical potential: continuum results with physical quark masses at order mu^2
• Inverse magnetic catalysis and the Polyakov loop
• QCD Phase Transition in a Strong Magnetic Background
• The QCD equation of state in background magnetic fields
• Lattice QCD at Finite Density -- An introductory review
• Chiral Properties of Strong Interactions in a Magnetic Background
• Three-loop HTL QCD thermodynamics
• Meson masses in electromagnetic fields with Wilson fermions
• The QCD equation of state at finite density from analytical continuation
• Numerical study of chiral symmetry breaking in non-Abelian gauge theory with background magnetic field
• Higher order quark number fluctuations via imaginary chemical potentials in $N_f=2+1$ QCD
• QCD equation of state with 2+1 flavors of improved staggered quarks
• Magnetic polarizabilities of light mesons in $SU(3)$ lattice gauge theory
• Heavy quarkonia in strong magnetic fields
• Magnetic catalysis (and inverse catalysis) at finite temperature in two-color lattice QCD
• Magnetic susceptibility and equation of state of N_f = 2+1 QCD with physical quark masses
• Chiral properties of (2+1)-flavor QCD in strong magnetic fields at zero temperature
• Lattice study of electromagnetic conductivity of quark-gluon plasma in external magnetic field
• Quark-gluon plasma in an external magnetic field
• Magnetic polarizability of pion
• Phase diagram of QCD in a magnetic background
• Fluctuations and correlations of net baryon number, electric charge and strangeness in a background magnetic field
• Finite-density QCD transition in magnetic field background
• Chiral phase structure of three flavor QCD in a background magnetic field
• Hot perturbative QCD in a very strong magnetic background
• Cold and dense perturbative QCD in a very strong magnetic background

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