Anomalous current from the covariant Wigner function

Prokhorov, George; Teryaev, Oleg

doi:10.1103/physrevd.97.076013

Cited by 28 publications

(54 citation statements)

References 35 publications

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“…In [31] an ansatz of the Wigner function was proposed, taking into account the effects associated with thermal vorticity. In [8,12,13] an axial current was calculated on the basis of this Wigner function, and the resulting expression for the current exactly coincides with the standard formula for CVE. In [13] it was shown that in the expression for the mean value of the axial current, the angular velocity and acceleration play the role of additional chemical potentials, and the acceleration corresponds to an imaginary chemical potential.…”

Section: Introductionmentioning

confidence: 88%

“…We will follow the calculation algorithm proposed in [8,25] and obtain third-order corrections in the thermal vorticity tensor. Note that according to [6,7,12,13] in the massless limit, all the terms in the axial current above third-order in the thermal vorticity tensor are canceled (at least at a temperature above Unruh temperature); therefore, there are reasons to believe that corrections above the third order will be zero for the massless case also in this method.…”

Section: Analysis Of the Effects Of Non-uniform Motion Of The Medmentioning

confidence: 99%

“…In [12,13], corrections of higher orders to CVE were investigated, and it was shown that the axial current contains a third-order term with respect to the angular velocity. The corresponding term with the same coefficient appeared in [6,7].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effects of rotation and acceleration in the axial current: density operator vs Wigner function

Prokhorov

Teryaev

Захаров

2019

J. High Energ. Phys.

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The hydrodynamic coefficients in the axial current are calculated on the basis of the equilibrium quantum statistical density operator in the third order of perturbation theory in thermal vorticity tensor both for the case of massive and massless fermions. The coefficients obtained describe thirdorder corrections to the Chiral Vortical Effect and include the contribution from local acceleration. We show that the methods of the Wigner function and the statistical density operator lead to the same result for an axial current in describing effects associated only with vorticity when the local acceleration is zero, but differ in describing mixed effects for which both acceleration and vorticity are significant simultaneously.

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Section: Introductionmentioning

confidence: 88%

Section: Analysis Of the Effects Of Non-uniform Motion Of The Medmentioning

confidence: 99%

See 1 more Smart Citation

Effects of rotation and acceleration in the axial current: density operator vs Wigner function

Prokhorov

Teryaev

Захаров

2019

J. High Energ. Phys.

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show abstract

“…Using the Wigner function from [22], one can calculate the mean values of different observables. In particular, in [26] and [27] a method for obtaining exact non-perturbative results is described using the example of axial current. In our case, it is necessary to calculate the energy density.…”

Section: Integral Representation and Wigner Functionmentioning

confidence: 99%

“…In our case, it is necessary to calculate the energy density. According to [26], it is necessary to decompose the energy density twice into a Taylor series…”

Section: Integral Representation and Wigner Functionmentioning

confidence: 99%

Unruh effect for fermions from the Zubarev density operator

2019

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Using the Zubarev quantum-statistical density operator, we calculated the corrections to the energy-momentum tensor of a massless fermion gas associated with acceleration. It is shown that when fourth-order corrections are taken into account, the energy-momentum tensor in the laboratory frame is equal to zero at a proper temperature measured by a comoving observer equal to Unruh temperature. Consequently, the Minkowski vacuum is visible to the accelerated observer as a medium filled with a heat bath of particles with the Unruh temperature, which is the essence of the Unruh effect.According to the standard formulation of the Unruh effect, an accelerated observer sees Minkowski vacuum state as a thermal bath of particles with a temperature T U = a 2π , depending on the proper acceleration a [1][2][3][4].The Unruh effect is most easily derived for scalar particles from consideration of the change in the ratio between positive and negative frequency modes of scalar fields in the proper time of the accelerated observer [1,4]. However, the Unruh effect was also established in the general case of theories with arbitrary spin and with interaction on the basis of the algebraic approach [5,6]. Also, the Unruh effect was established for fermions in the framework of quantum field theory in terms of path integrals [7].There were also indications that the Unruh effect may be significant when considering the collisions of elementary particles. In [8,9] it was shown that the hadronization process can be accompanied by accelerated particle motion, which can be a source of thermalization in elementary processes such as e + e − annihilation or pp and pp collisions, just due to the Unruh effect, and also allows to explain some features in the multiplicities of hadrons. So in the elementary processes of electron-positron annihilation or proton-(anti)proton collisions, tremendous accelerations can occur, which may open the way for observing the effects associated with acceleration, while in heavy ion collision also large vorticity may arise, and polarisation in heavy ion collisions provides information both about vorticity and acceleration [10,11].An interesting new look at the Unruh effect was recently obtained from the standpoint of quantum relativistic statistical mechanics [12,13]. In [12] it was shown by calculating the values of quantum correlators for scalar fields at a finite temperature that the average value of any local operator turns out to be zero after subtracting of the vacuum contribution at the proper temperature, measured by a comoving observer, equal to the Unruh temperature. This fact means that the Minkowski vacuum is perceived by the accelerated observer as a medium filled with a thermal bath of particles with a Unruh temperature a 2π , which is the essence of the Unruh effect.The analysis in [12] is given for scalar particles. Our main result is a generalization of [12] for the case of massless fermions: we show that for gas of massless fermions with chemical potentials equal to zero, the energy-momentum tensor ...

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Thermodynamic Equilibrium of Massless Fermions with Vorticity, Chirality and Electromagnetic Field

Buzzegoli

2021

Strongly Interacting Matter Under Rotation

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Anomalous current from the covariant Wigner function

Cited by 28 publications

References 35 publications

Effects of rotation and acceleration in the axial current: density operator vs Wigner function

Effects of rotation and acceleration in the axial current: density operator vs Wigner function

Unruh effect for fermions from the Zubarev density operator

Thermodynamic Equilibrium of Massless Fermions with Vorticity, Chirality and Electromagnetic Field

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