QCD magnetic susceptibility at finite temperature beyond the chiral limit

Abstract

We investigate the QCD magnetic susceptibility chi_q for flavor SU(2) at finite temperature (T) beyond the chiral limit, using the liquid instanton model, defined in Euclidean space and modified by the T-dependent caloron solution. The background electromagnetic fields are induced to the QCD vacuum, employing the Schwinger method. We first compute the scalar (chiral) and tensor condensates as functions of T as well the current-quark mass m, signaling the correct universal chiral restoration patterns. It turns out that chi_q, given by the ratio of the two condensates, is a smoothly decreasing function of T, showing about 20% reduction of its strength at the chiral transition T = T_0, in comparison to that at T = 0, and decreases almost linearly beyond T_0 for m > 0. We observe that the present numerical results are in qualitatively good agreement with other theoretical results, including the lattice simulations. Finally, we examine the effects of the external magnetic field on the tensor-polarization VEV, resulting in that it plays the role of the chiral order parameter.

10 pages, 8 figures. arXiv admin note: text overlap with arXiv:1304.0287

References in corpus (13)

• The Chiral Magnetic Effect
• Systematic Measurements of Identified Particle Spectra in pp, d+Au and Au+Au Collisions from STAR
• Inverse magnetic catalysis and the Polyakov loop
• Magnetic field-induced gluonic (inverse) catalysis and pressure (an)isotropy in QCD
• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• Low energy constants of \chiPT from the instanton vacuum model
• Shear viscosity of quark matter at finite temperature in magnetic fields
• Magnetic susceptibility of the QCD vacuum
• Electromagnetic form factors of the pion and kaon from the instanton vacuum
• Chiral restoration at finite T under the magnetic field with the meson-loop corrections
• 1/N_c corrections to the magnetic susceptibility of the QCD vacuum
• Probing the nucleon's transversity and the photon's distribution amplitude in lepton pair photoproduction
• Pion weak decay constant at finite density from the instanton vacuum

Cited by in corpus (6)

• Magnetic susceptibility and equation of state of N_f = 2+1 QCD with physical quark masses
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Magnetic susceptibility of the QCD vacuum in a nonlocal SU(3) PNJL model
• QCD chiral condensate and pseudoscalar-meson properties in the nuclear medium at finite temperature
• Quark-gluon mixed condensate for the SU(2) light-flavor sector at finite temperature
• Dynamical gluon mass at non-zero temperature in instanton vacuum model