Erratum: Statistics of chaotic resonances in an optical microcavity [Phys. Rev. E<b>93</b>, 040201(R) (2016)]

Wang, Li; Lippolis, Domenico; Li, Ze‐Yang; Jiang, Xuefeng; Gong, Qihuang; Xiao, Yun‐Feng

doi:10.1103/physreve.94.029902

Cited by 13 publications

(29 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This spin quantization direction can in principle be chosen arbitrarily. However, the most convenient choice is to quantize the spin with respect to the polarization direction [41,45]. In other words, we choose a spin basis in which the new distribution functionsf ± rs are diagonal, i.e.,f…”

Section: Zeroth-order Solutionmentioning

confidence: 99%

See 1 more Smart Citation

Kinetic theory for massive spin−1/2 particles from the Wigner-function formalism

et al. 2019

View full text Add to dashboard Cite

We calculate the Wigner function for massive spin-1/2 particles in an inhomogeneous electromagnetic field to leading order in the Planck constant . Going beyond leading order in we then derive a generalized Boltzmann equation in which the force exerted by an inhomogeneous electromagnetic field on the particle dipole moment arises naturally. Furthermore, a kinetic equation for this dipole moment is derived. Carefully taking the massless limit we find agreement with previous results. The case of global equilibrium with rotation is also studied. Finally, we outline the derivation of fluid-dynamical equations from the components of the Wigner function. The conservation of total angular momentum is promoted as an additional fluid-dynamical equation of motion. Our framework can be used to study polarization effects induced by vorticity and magnetic field in relativistic heavy-ion collisions.

show abstract

Section: Zeroth-order Solutionmentioning

confidence: 99%

“…Although there has been intense theoretical activity which has led to a deeper understanding of the transport properties of chiral matter, few studies have attempted to derive a covariant kinetic theory for massive particles using Wigner functions [41,42]. The aim of this paper is to fill this gap.…”

Section: Introductionmentioning

confidence: 99%

Kinetic theory for massive spin−1/2 particles from the Wigner-function formalism

et al. 2019

View full text Add to dashboard Cite

show abstract

“…So they are expected to have effects only in the partonic phase during the early stage of the evolution [10,[20][21][22][23][24][25][26]. The strong magnetic fields can also polarize quarks through their magnetic moments [27,28].…”

Section: Introductionmentioning

confidence: 99%

Quark coalescence model for polarized vector mesons and baryons

et al. 2018

View full text Add to dashboard Cite

A non-relativistic quark coalescence model is formulated for polarized vector mesons and baryons of spin-1/2 octet and spin-3/2 decuplet. With the spin density matrix, one can compute in a uniform way the polarizations of vector mesons and baryons from those of quarks and antiquarks with explicit momentum dependence. The results are compared to that obtained from kinetic and statistical models for hadrons.

show abstract

“…The spin-vorticity couplings in statistical-hydro models are widely used to describe the hadron polarization [12][13][14][15]. The global polarization of Λ andΛ hyperons have been calculated through spin-vorticity couplings with vorticity fields being given by hydrodynamic model simulations [16,17] or transport model simulations [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

“…[45][46][47]) and chiral vortical effect (CVE) [1, [48][49][50][51][52] for massless fermions [1, 2, [53][54][55][56][57]. The axial vector component of the Wigner function for massive fermions gives the spin phase-space density [15]. Then the polarization of massive hadrons can be calculated from the Wigner functions of their constituent quarks [58].…”

Section: Introductionmentioning

confidence: 99%

Chiral vortical effect in Wigner function approach

Gao

Pang²,

Wang

2019

Phys. Rev. D

View full text Add to dashboard Cite

It is more subtle to obtain the chiral vortical effect (CVE) than chiral magnetic effect (CME) in quantum transport approach. To investigate the subtlty of the CVE we present two different derivation in the Wigner function approach. The first one is based on the method in our previous work [1] in which the CVE was derived under static-equilibrium conditions without details. We provide a detailed derivation using a more transparent and powerful method, which can be easily generalized to higher order calculation. In this derivation of the CVE current, there is an explicit Lorentz covariance. The second derivation is based on a more general chiral kinetic theory in a semi-classical expansion of the Wigner function without assuming static-equilibrium conditions [2]. In this derivation, there is a freedom to choose a reference frame for the CVE current, so the explicit Lorentz covariance seems to be lost. Howerver, under static-equilibrium conditions, we show that the CVE current in this derivation can be decomposed into two parts, identified as the normal and magnetization current. Each part depends on the reference frame, but the sum of two parts does give the total CVE current which is independent of the reference frame. In the comoving frame of the fluid, it can be shown that the normal and magnetization current give one-third and two-thirds of the total CVE current respectively. This gives a natural solution to the 'one-third' puzzle in the CVE current in three-dimensional version of the chiral kinetic theory in the literature.

show abstract

Erratum: Statistics of chaotic resonances in an optical microcavity [Phys. Rev. E93, 040201(R) (2016)]

Abstract: This corrects the article DOI: 10.1103/PhysRevE.93.040201.

Cited by 13 publications

References 0 publications

Kinetic theory for massive spin−1/2 particles from the Wigner-function formalism

Kinetic theory for massive spin−1/2 particles from the Wigner-function formalism

Quark coalescence model for polarized vector mesons and baryons

Chiral vortical effect in Wigner function approach

Contact Info

Product

Resources

About