Mass correction to chiral kinetic equations

Wang, Ziyue; Guo, Xingyu; Shi, Shuzhe; Zhuang, Pengfei

doi:10.1103/physrevd.100.014015

Cited by 112 publications

(71 citation statements)

References 41 publications

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“…The Wigner-function formalism has been widely used to construct quantum kinetic theory, see e.g. [43][44][45][46][47][48][49][59][60][61][62][63]. This approach is particularly convenient to study spin-polarization phenomena due to system rotation and external EM fields, and allows us to describe nonequilibrium effects.…”

Section: Wigner Function For Photonsmentioning

confidence: 99%

Zilch vortical effect, Berry phase, and kinetic theory

Huang

Mitkin

Sadofyev

et al. 2020

J. High Energ. Phys.

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Rotating photon gas exhibits a chirality separation along the angular velocity which is manifested through a generation of helicity and zilch currents. In this paper we study this system using the corresponding Wigner function and construct elements of the covariant chiral kinetic theory for photons from first principles. The Wigner function is solved order-by-order in ħ and the unconstrained terms are fixed by matching with quantum field theory results. We further consider the zilch and helicity currents and show that both manifestations of the chirality transport originate in the Berry phase of photons similarly to other chiral effects. Constructing the kinetic description from the Wigner function we find that the frame vector needed to fix the definition of spin of a massless particle is, in fact, the vector of the residual gauge freedom for the free Maxwell theory. We also briefly comment on the possible relation between vortical responses in rotating systems of massless particles and the anomalies of underlying quantum field theory.

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Section: Wigner Function For Photonsmentioning

confidence: 99%

Zilch vortical effect, Berry phase, and kinetic theory

Huang

Mitkin

Sadofyev

et al. 2020

J. High Energ. Phys.

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“…Then, inspired by the chiral one, they wrote the axial-vector field at the first-order in Planck constant and the properties of polarization as well as pseudoscalar condensation for massive fermions have been investigated. Mass corrections to chiral phenomena were also inspected by means of equaltime kinetic equations [35].…”

Section: Introductionmentioning

confidence: 99%

Semiclassical transport equations of Dirac particles in rotating frames

Dayi

Kilinçarslan

2020

Phys. Rev. D

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We establish covariant semiclassical transport equations of massive spin-1=2 particles which are generated by the quantum kinetic equation modified by enthalpy current dependent terms. The purpose of modification is to take into account the noninertial properties due to the angular velocity of rotating frame which is equivalent to the fluid vorticity in the hydrodynamical approach. We present the equations satisfied by the Wigner function components and by studying their solutions in the semiclassical approximation we accomplish the transport equations.To acquire a three-dimensional kinetic theory, the relativistic kinetic equations in the comoving frame are integrated over the zeroth component of fourmomentum. The resulting vector and axial-vector currents are calculated at zero temperature. There exists another three-dimensional formulation of Dirac particles which correctly addresses the noninertial features of rotating coordinates. We review it briefly and obtain the mass corrections to the chiral vector and axialvector currents produced by this formulation.

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“…[43][44][45][46]) and chiral vortical effect (CVE) [31,[47][48][49][50][51] for massless fermions. Recently, the kinetic theory for spin-1/2 massive fermions has been formulated in the WF framework [14,[52][53][54][55], which is very useful in describing the evolution of the spin polarization. This is because the axial vector component gives the spin phase space distribution of fermions.…”

Section: Introductionmentioning

confidence: 99%

Local spin polarization in high energy heavy ion collisions

Pang

Huang

et al. 2019

Phys. Rev. Research

101

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We revisit the azimuthal angle dependence of the local spin polarization of hyperons in heavy-ion collisions at 200 GeV in the framework of the (3+1)D viscous hydrodynamic model CLVisc. Two different initial conditions are considered in our simulation: the optical Glauber initial condition without initial orbital angular momentum and the AMPT initial condition with an initial orbital angular momentum. We find that the azimuthal angle dependence of the hyperon polarization strongly depends on the choice of the so-called spin chemical potential Ωµν . With Ωµν chosen to be proportional to the temperature vorticity, our simulation shows qualitatively coincidental results with the recent measurements at RHIC for both the longitudinal and transverse polarization. We argue that such a coincidence may be related to the fact that the temperature vorticity is approximately conserved in the hot quark-gluon matter. *

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Mass correction to chiral kinetic equations

Cited by 112 publications

References 41 publications

Zilch vortical effect, Berry phase, and kinetic theory

Zilch vortical effect, Berry phase, and kinetic theory

Semiclassical transport equations of Dirac particles in rotating frames

Local spin polarization in high energy heavy ion collisions

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