Nonlinear responses of chiral fluids from kinetic theory

Hidaka, Yoshimasa; Pu, Shi; Yang, Di-Lun

doi:10.1103/physrevd.97.016004

Cited by 163 publications

(271 citation statements)

References 63 publications

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“…During the last several years, such a kinetic chiral kinetic theory has been developed using a variety of approaches, see e.g. [139][140][141][142][143][144][145][146][147][148][149]. Also, several phenomenological attempts to study out-of-equilibrium anomalous chiral transport have been proposed [63,[150][151][152].…”

Section: Chiral Kinetic Theorymentioning

confidence: 99%

Mapping the phases of quantum chromodynamics with beam energy scan

et al. 2020

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We review the present status of the search for a phase transition and critical point as well as anomalous transport phenomena in Quantum Chromodynamics (QCD), with an emphasis on the Beam Energy Scan program at the Relativistic Heavy Ion Collider at Brookhaven National Laboratory. We present the conceptual framework and discuss the observables deemed most sensitive to a phase transition, QCD critical point, and anomalous transport, focusing on fluctuation and correlation measurements. Selected experimental results for these observables together with those characterizing the global properties of the systems created in heavy ion collisions are presented. We then discuss what can be already learned from the currently available data about the QCD critical point and anomalous transport as well as what additional measurements and theoretical developments are needed in order to discover these phenomena.

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Section: Chiral Kinetic Theorymentioning

confidence: 99%

Mapping the phases of quantum chromodynamics with beam energy scan

et al. 2020

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“…The dynamical evolution of the particle number density f (1) 0 and spin density g (1) 0 to the first order inh is controlled by the transport equations (8) to the second order inh. Taking the classical and first-order constraints (12) and (16) and using the classical transport equations (18) and (19), a straightforward but tedious calculation leads to…”

Section: Equal-time Kinetic Equationsmentioning

confidence: 99%

Mass correction to chiral kinetic equations

et al. 2019

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We study fermion mass correction to chiral kinetic equations in electromagnetic fields. Different from the chiral limit where fermion number density is the only independent distribution, the number and spin densities are coupled to each other for massive fermion systems. To the first order in h, we derived the quantum correction to the classical on-shell condition and the Boltzmann-type transport equations. To the linear order in the fermion mass, the mass correction does not change the structure of the chiral kinetic equations and behaves like additional collision terms. While the mass correction exists already at classical level in general electromagnetic fields, it is only a first order quantum correction in the study of chiral magnetic effect.

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“…Therefore people use quantum kinetic theory in terms of Wigner function [51][52][53][54], which turns out to be a useful tool to describe the CME, CVE, and other related effects [55][56][57][58]. The axial vector component of the Wigner function for massless fermions can be generalized to massive fermions and gives their phase-space density of the spin vector [59].…”

Section: Introductionmentioning

confidence: 99%

“…An effective way of describing the kinematics of chiral fermions in phase space in the presence of chiral anomaly is the chiral kinetic equation [56,58,[61][62][63][64][65][66][67][68], which is closely related to the Berry phase and monopole in momentum space. The covariant chiral kinetic equation (CCKE) can be derived in the 4-dimensional (4D) Wigner function approach [56], from which one can derive the 3-dimensional (3D) version of the chiral kinetic equation by integration over the time component of the 4-momentum.…”

Section: Introductionmentioning

confidence: 99%

Covariant chiral kinetic equation in the Wigner function approach

Gao

Wang

2017

Phys. Rev. D

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The covariant chiral kinetic equation (CCKE) is derived from the 4-dimensional Wigner function by an improved perturbative method under the static equilibrium conditions. The chiral kinetic equation in 3-dimensions can be obtained by integration over the time component of the 4-momentum. There is freedom to add more terms to the CCKE allowed by conservation laws. In the derivation of the 3-dimensional equation, there is also freedom to choose coefficients of some terms in dx0/dτ and dx/dτ (τ is a parameter along the worldline, and (x0, x) denotes the timespace position of a particle) whose 3-momentum integrals are vanishing. So the 3-dimensional chiral kinetic equation derived from the CCKE is not uniquely determined in the current approach. To go beyond the current approach, one needs a new way of building up the 3-dimensional chiral kinetic equation from the CCKE or directly from covariant Wigner equations.

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Nonlinear responses of chiral fluids from kinetic theory

Cited by 163 publications

References 63 publications

Mapping the phases of quantum chromodynamics with beam energy scan

Mapping the phases of quantum chromodynamics with beam energy scan

Mass correction to chiral kinetic equations

Covariant chiral kinetic equation in the Wigner function approach

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