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

Buzzegoli, Matteo

doi:10.1007/978-3-030-71427-7_3

Cited by 19 publications

(16 citation statements)

References 52 publications

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“…In the case of CVE, similar reasoning cannot be used, since the operators of the stress-energy tensor are located in the vertices instead of the current operators. The relationship between CSE and anomalies (2.6) follows from [9,10] and also follows from the recent analysis in [23]. The conditions of global thermodynamic equilibrium fix a direct connection between the chemical potential and the external electromagnetic field…”

Section: Discussion: Quantum Anomalies In Hydrodynamicsmentioning

confidence: 86%

“…In this section, we calculate CVE for spin 3/2 field interacting with spin 1/2 field. The properties of the medium in the state of global thermodynamic equilibrium are described by the density operator of Zubarev [20][21][22][23]…”

Section: Chiral Vortical Effect For Spin 3/2mentioning

confidence: 99%

“…where dΣ λ is a volume element on an arbitrary spacelike hypersurface (arbitrariness of the hypersurface follows from the conditions of global thermodynamic equilibrium). Density operator (3.1) provides a universal and fundamental approach to the description of effects in a relativistic moving and charged medium [22][23][24][25][26][27][28]. In particular, it was used to find a lot of chiral effects [21,29], corrections to them [26], and also to prove the Unruh effect from the point of view of statistics as well as the duality between statistics and field theory in a space with a conical singularity [22,24,30,31].…”

Section: Chiral Vortical Effect For Spin 3/2mentioning

confidence: 99%

“…Summation over the Matsubara frequencies should be made taking into account the poles ((p n ± iµ) 2 + E 2 ) −r , where r = 1, 2 according to the formulas from Appendix A.4 of [23] 1 , and the explicit dependence on the coordinate x i can be absorbed into the derivative of the exponent ∂ ∂p i e −ipx . After that, the integration and summation over one of the momenta is removed by the delta function.…”

Section: Chiral Vortical Effect For Spin 3/2mentioning

confidence: 99%

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Chiral Vortical Effect in Extended Rarita-Schwinger Field Theory and Chiral Anomaly

Prokhorov,

Teryaev,

Zakharov

2021

Preprint

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We consider the theory of Rarita-Schwinger field interacting with a field with spin 1/2, in the case of finite temperature, chemical potential and vorticity, and calculate the chiral vortical effect for spin 3/2. We have clearly demonstrated the role of interaction with the spin 1/2 field, the contribution of the terms with which to CVE is 6. Since the contribution from the Rarita-Schwinger field is -1, the overall coefficient in CVE is 6-1=5, which corresponds to the recent prediction of a gauge chiral anomaly for spin 3/2. The obtained values for the coefficients µ 2 and T 2 are proportional to each other, but not proportional to the spin, which indicates a possible new universality between the temperature-related and the chemical potential-related vortical effects. The results obtained allow us to speculate about the relationship between the gauge and gravitational chiral anomalies.

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Section: Discussion: Quantum Anomalies In Hydrodynamicsmentioning

confidence: 86%

Section: Chiral Vortical Effect For Spin 3/2mentioning

confidence: 99%

Section: Chiral Vortical Effect For Spin 3/2mentioning

confidence: 99%

Section: Chiral Vortical Effect For Spin 3/2mentioning

confidence: 99%

See 2 more Smart Citations

Chiral Vortical Effect in Extended Rarita-Schwinger Field Theory and Chiral Anomaly

Prokhorov,

Teryaev,

Zakharov

2021

Preprint

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“…Unlike the electric current induced by the rotation, the axial vortical effect can contain terms (see eq. ( 7.16)) independent of the axial and chemical potentials and that are not constrained by the chiral anomaly [46].…”

Section: Rotationmentioning

confidence: 93%

Exact equilibrium distributions in statistical quantum field theory with rotation and acceleration: Dirac field

Palermo,

Buzzegoli,

Becattini

2021

Preprint

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We derive the general exact forms of the Wigner function, of mean values of conserved currents, of the spin density matrix, of the spin polarization vector and of the distribution function of massless particles for the free Dirac field at global thermodynamic equilibrium with rotation and acceleration, extending our previous results obtained for the scalar field. The solutions are obtained by means of an iterative method and analytic continuation, which leads to formal series in thermal vorticity. In order to obtain finite values, we extend to the fermionic case the method of analytic distillation introduced for bosonic series. The obtained mean values of the stress-energy tensor, vector and axial currents for the massless Dirac field are in agreement with known analytic results in the special cases of pure acceleration and pure rotation. By using this approach, we obtain new expressions of the currents for the more general case of combined rotation and acceleration and, in the pure acceleration case, we demonstrate that they must vanish at the Unruh temperature.

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Helical massive fermions under rotation

Ambruş

2020

J. High Energ. Phys.

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The properties of a massive fermion field undergoing rigid rotation at finite temperature and chemical potential are discussed. The polarisation imbalance is taken into account by considering a helicity chemical potential, which is dual to the helicity charge operator. The advantage of the proposed approach is that, as opposed to the axial current, the helicity charge current remains conserved at finite mass. A computation of thermal expectation values of the vector, helicity and axial charge currents, as well as of the fermion condensate and stress-energy tensor is provided. In all cases, analytic constitutive equations are derived for the non-equilibrium transport terms, as well as for the quantum corrections to the equilibrium terms (which are derived using an effective relativistic kinetic theory model for fermions with helicity imbalance) in the limit of small masses. In the context of the parameters which are relevant to relativistic heavy ion collisions, the expressions derived in the massless limit are shown to remain valid for masses up to the thermal energy, except for the axial charge conductivity in the azimuthal direction, which presents strong variations with the particle mass.

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

Cited by 19 publications

References 52 publications

Chiral Vortical Effect in Extended Rarita-Schwinger Field Theory and Chiral Anomaly

Chiral Vortical Effect in Extended Rarita-Schwinger Field Theory and Chiral Anomaly

Exact equilibrium distributions in statistical quantum field theory with rotation and acceleration: Dirac field

Helical massive fermions under rotation

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