Kinetic theory with spin: From massive to massless fermions

Sheng, Xin-Li; Wang, Qun; Huang, Xu-Guang

doi:10.1103/physrevd.102.025019

Cited by 32 publications

(22 citation statements)

References 69 publications

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“…Fortunately there is a natural expansion parameter in these equations, the Planck constant , which gives the order of quantum correction. The Wigner function components can thus be obtained by solving these questions order by order in , which is called semi-classical expansion [45,46,47,48,49,50,51,52,53,54]. The Wigner function components at the zero-th order in are given by [45]…”

Section: Spin Polarization In a Vortical Fluidmentioning

confidence: 99%

Vorticity and Spin Polarization in Heavy Ion Collisions: Transport Models

Huang,

Liao,

Wang

et al. 2020

Preprint

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Heavy ion collisions generate strong fluid vorticty in the produced hot quark-gluon matter which could in turn induce measurable spin polarization of hadrons. We review recent progress on the vorticity formation and spin polarization in heavy ion collisions with transport models. We present an introduction to the fluid vorticity in non-relativistic and relativistic hydrodynamics and address various properties of the vorticity formed in heavy ion collisions. We discuss the spin polarization in a vortical fluid using the Wigner function formalism in which we derive the freeze-out formula for the spin polarization. Finally we give a brief overview of recent theoretical results for both the global and local spin polarization of Λ and Λ hyperons.

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Section: Spin Polarization In a Vortical Fluidmentioning

confidence: 99%

Vorticity and Spin Polarization in Heavy Ion Collisions: Transport Models

Huang,

Liao,

Wang

et al. 2020

Preprint

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“…There are several approaches in the literature which, actually, were not specifically developed to address the "spin puzzle": one can promote the total angular momentum conservation as a new hydrodynamic equation of motion with a suitable definition of the spin tensor [27,[62][63][64][65][66][67][68], use the Lagrangian formalism [69][70][71][72] or the holographic duality [73]. There has been intense activity also on the description of nonequilibrium dynamics of spin polarization during the collision process using the Wigner-function formalism in the free-streaming case [74][75][76][77][78][79][80][81], and including particle collisions [68,82,83]. It is worth to mention that the Wigner-function fomalism has been widely used also for the description of anomalous chiral transport in the QGP, see, e.g., Refs.…”

Section: Spin-polarization Effects In Relativistic Nuclear Collisionsmentioning

confidence: 99%

Spin tensor and pseudo-gauges: from nuclear collisions to gravitational physics

Speranza

Weickgenannt

2021

Eur. Phys. J. A

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The relativistic treatment of spin is a fundamental subject which has an old history. In various physical contexts it is necessary to separate the relativistic total angular momentum into an orbital and spin contribution. However, such decomposition is affected by ambiguities since one can always redefine the orbital and spin part through the so-called pseudo-gauge transformations. We analyze this problem in detail by discussing the most common choices of energy-momentum and spin tensors with an emphasis on their physical implications, and study the spin vector which is a pseudo-gauge invariant operator. We review the angular momentum decomposition as a crucial ingredient for the formulation of relativistic spin hydrodynamics and quantum kinetic theory with a focus on relativistic nuclear collisions, where spin physics has recently attracted significant attention. Furthermore, we point out the connection between pseudo-gauge transformations and the different definitions of the relativistic center of inertia. Finally, we consider the Einstein–Cartan theory, an extension of conventional general relativity, which allows for a natural definition of the spin tensor.

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“…[332,333,335,343] with follow-up studies in, e.g., Refs. [337,376,377,341,378,377,161,379,380,381]. In this section, we will mostly follow the approach in Ref.…”

Section: Quantum Kinetic Theory For Massive Fermions Without Collisionsmentioning

confidence: 99%

“…See also Refs. [376,377] for related discussions on the connection between massless and massive fermions.…”

Section: Magnetization-current Terms From Dirac Wave-functionsmentioning

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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Kinetic theory with spin: From massive to massless fermions

Cited by 32 publications

References 69 publications

Vorticity and Spin Polarization in Heavy Ion Collisions: Transport Models

Vorticity and Spin Polarization in Heavy Ion Collisions: Transport Models

Spin tensor and pseudo-gauges: from nuclear collisions to gravitational physics

Foundations and Applications of Quantum Kinetic Theory

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