Quark mass correction to chiral separation effect and pseudoscalar condensate

2018

Chinese Phys. C

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We explore the end point of the helical instability in finite density, finite magnetic field background discussed by Kharzeev and Yee [1]. The nonlinear solution is obtained and identified with the (magnetized) chiral density wave phase in literature. We find there are two branches of solutions, which match with the two unstable modes in [1].At large chemical potential and magnetic field, the magnetized chiral density wave can be thermodynamically preferred over chirally symmetric phase and chiral symmetry breaking phase. Interestingly, we find an exotic state with vanishing chemical potential at large magnetic field. We also attempt to clarify the role of anomalous charge in holographic model. * yybu@hit.edu.cn †

Section: Anomalous Charge and Mcdw Phasesupporting

confidence: 65%

“…The number of windows coincide with the number of unstable modes [1,38] in the chirally symmetric background. We find the lowest free energy is usually found near the boundary of either window.…”

Section: Magnetized Chiral Density Wavementioning

confidence: 90%

Holographic magnetized chiral density wave

2018

Chinese Phys. C

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“…(1) has been derived by assuming axial charges is conserved, which is not true when we consider explicit axial symmetry breaking by fermion mass. Indeed, it is known at the discovery of CSE that mass correction exists for the corresponding transport coefficient [10,39,40]. For ACVE, the situation is more interesting because it involves not only axial anomaly, but also gravitational anomaly [6,41,42].…”

Section: Introductionmentioning

confidence: 99%

Mass correction to chiral vortical effect and chiral separation effect

Yang

2018

Phys. Rev. D

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We study coefficients of axial chiral vortical effect and chiral separation effect at finite temperature and vector chemical potential in massive theories. We present two independent methods of calculating the coefficients: one from field theory and the other using the mass term in axial anomaly equation. An ambiguity in the integration constant similar to hydrodynamic approach to axial chiral vortical effect exists in the latter, but can be fixed naturally in the presence of mass. We obtain perfect agreement between the methods. The results of axial chiral vortical effect and chiral separation effect indicate that the presence of mass generically suppresses the two coefficients, with less suppression at larger chemical potential. For phenomenologically relevant case of quark gluon plasma with three quark flavor, we find the correction is negligible. *

“…The damping effect is first discussed in [35] for an electron in the neutron star. The generation effect is proposed by one of the authors [36,37] for the supersymmetric gauge theory based on a holographic model. This paper aims at providing a unified description of the two effects in the same setting.…”

Section: Introductionmentioning

confidence: 99%

Fluctuation and dissipation of axial charge from massive quarks

Hou

2018

Phys. Rev. D

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In quantum chromodynamics, axial charge is known to be nonconserved due to chiral anomaly and nonvanishing quark mass. In this paper, we explore the role of quark mass in axial charge fluctuation and dissipation. We present two separate calculations of the axial charge correlator, which describe dynamics of axial charge. The first is free quarks at a finite temperature. We find that axial charge can be generated through effective quantum fluctuations in free theory. However, the fluctuation does not follow a random walk behavior. Because of the presence of an axial symmetry breaking mass term, the axial charge also does not settle asymptotically to the thermodynamic limit given by susceptibility. The second calculation is in a weakly coupled quark gluon plasma. We find in the hard thermal loop (HTL) approximation, the quarkgluon interaction leads to random walk growth of the axial charge, but dissipation is not visible. We estimate the relaxation timescale for the axial charge, finding it lies beyond the HTL regime.