Polarization in Relativistic Fluids: A Quantum Field Theoretical Derivation

Becattini, F.

doi:10.1007/978-3-030-71427-7_2

Cited by 36 publications

(34 citation statements)

References 29 publications

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“…where the integration over the (arbitrary) space-like hypersurface Σ with the measure dΣ•p makes the momentum p on-shell. This is a general feature for free fields [47] and we are going to explicitly prove it for the Wigner function W (x, k) found in (4.8). First of all, for any space-like hypersurface Σ, one has:…”

Section: Spin Density Matrix and Spin Polarization Vectormentioning

confidence: 58%

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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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Section: Spin Density Matrix and Spin Polarization Vectormentioning

confidence: 58%

“…, where r, s, t are the spin states labels; this matrix is the full description of the spin state of a particle. For massive particles, the spin density matrix and the spin polarization vector can be expressed by means of the Wigner function as [47]:…”

Section: Spin Density Matrix and Spin Polarization Vectormentioning

confidence: 99%

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

Palermo,

Buzzegoli,

Becattini

2021

Preprint

Self Cite

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“…The properties of relativistic spinning particles can be described by quantum statistical models [266,267,268,269] (also see recent reviews in Refs. [270,271,272,89]). The data on the global polarization of Λ and Λ hyperons in collisions at intermediate energies can be well described by various phenomenological models [273,264,274,183,275,265,276,277,278,279,280].…”

Section: Introductionmentioning

confidence: 99%

“…Recent reviews on the spin polarization in a hot and dense matter in various perspectives can be found in Refs. [270,315,271,272,89,331].…”

Section: Introductionmentioning

confidence: 99%

Foundations and Applications of Quantum Kinetic Theory

Hidaka,

Pu,

Wang

et al. 2022

Preprint

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Many novel quantum phenomena emerge in non-equilibrium relativistic quantum matter under extreme conditions such as strong magnetic fields and rotations. The quantum kinetic theory based on Wigner functions in quantum field theory provides a powerful and effective microscopic description of these quantum phenomena. In this article we review some of recent advances in the quantum kinetic theory and its applications in describing these quantum phenomena.

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“…obtained by choosing the Belinfante form of EMT T B with a corresponding vanishing spin tensor and where β is the fluid velocity u divided by the temperature T . The resulting spin polarization of a particle with momentum k and mass m at first order of thermodynamic gradients is [5,28,29]…”

Section: Introductionmentioning

confidence: 99%

Pseudogauge dependence of the spin polarization and of the axial vortical effect

Buzzegoli

2021

Preprint

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We obtain the mean spin polarization vector of spin 1/2 particles in a relativistic fluid at Local Thermal Equilibrium (LTE) in different Pseudo-Gauges (PGs), i.e. with different choices for the decomposition of orbital and spin angular momentum. The spin polarization obtained in the canonical PG differs from the one obtained in the Belinfante PG. We found that this difference can not be written by replacing the thermal vorticity with the spin potential in the usual polarization formula. Other PG choices affect the contribution of thermal shear to the spin polarization. Therefore, the choice of a PG affects the predictions for the polarization measured in heavy-ion collisions. In general, we show that the Wigner function of a non-interacting Dirac field at LTE is affected by the PG transformations. We also calculate the explicit expressions of the mean axial current and we obtain that even the axial vortical effect conductivity depend on the PG.

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Polarization in Relativistic Fluids: A Quantum Field Theoretical Derivation

Cited by 36 publications

References 29 publications

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

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

Foundations and Applications of Quantum Kinetic Theory

Pseudogauge dependence of the spin polarization and of the axial vortical effect

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