Spin polarization evolution in a boost-invariant hydrodynamical background

Florkowski, Wojciech; Kumar, Avdhesh; Ryblewski, Radosław; Singh, Rajeev

doi:10.1103/physrevc.99.044910

Cited by 89 publications

(73 citation statements)

References 101 publications

(210 reference statements)

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“…[52] for the longitudinal polarization show a correct sin(2φ) behavior, where φ is the azimuthal angle, but with an opposite sign in the amplitude with respect to the experimental data [53]. Unfortunately, this mismatch between theory and experiments, which we will call "sign puzzle", does not yet have a definitive theoretical explanation, although many attempts have been recently made [54][55][56][57][58][59][60][61]. A crucial feature of the models in 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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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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“…where the total angular momentum conservation law is d α J α,βγ = d α S α,βγ + 2T [βγ] = 0. Symmetric T µν implies the conservation of spin separately, where the spin tensor is given as [19,72]…”

Section: Conservation Lawsmentioning

confidence: 99%

“…Formulation of such a spin fluid dynamics formalism was studied first in Ref. [11], which gave rise to many studies [12][13][14][15][16][17][18][19][20][21][22]. Contrary to theoretical studies done on spin, considered spin-vorticity coupling to be the reason for the spin polarization at freeze-out , the spin hydrodynamic formalism has been developed on the basis on conservation laws and local thermodynamic equilibrium, introducing new dynamic quantity namely spin polarization tensor.…”

Section: Introductionmentioning

confidence: 99%

“…Contrary to theoretical studies done on spin, considered spin-vorticity coupling to be the reason for the spin polarization at freeze-out , the spin hydrodynamic formalism has been developed on the basis on conservation laws and local thermodynamic equilibrium, introducing new dynamic quantity namely spin polarization tensor. In this work, we use the Gubser symmetry [68][69][70] arguments to find the conformal transformations and criteria for conformal invariance of the conservation laws which are used in the spin hydrodynamics framework [19,21,71]. Throughout the article we use natural units, i.e., c = h = k B = 1.…”

Section: Introductionmentioning

confidence: 99%

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Conformal transformations of conservation equations in spin hydrodynamics

Singh

2021

Preprint

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“…An example of such an evolution, in the case of a simple one-dimensional and boost-invariant expansion, has been analyzed recently in Ref. [34].…”

Section: Introductionmentioning

confidence: 99%

Longitudinal spin polarization in a thermal model

et al. 2019

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We use a thermal model with single freeze-out to determine longitudinal polarization of Λ hyperons emitted from a hot and rotating hadronic medium. We consider the top RHIC energies and use the model parameters determined in the previous analyses of particle spectra and elliptic flow. Using a direct connection between the spin polarization tensor and thermal vorticity, we reproduce earlier results which indicate a quadrupole structure of the longitudinal component of the polarization three-vector with an opposite sign compared to that found in the experiment. We further use only the spatial components of the thermal vorticity in the laboratory system to define polarization and show that this leads to the correct sign and magnitude of the quadrupole structure. This procedure resembles a non-relativistic connection between the polarization three-vector and vorticity employed in other works. In general, our results bring further evidence that the spin polarization dynamics in heavy-ion collisions may be not directly related to the thermal vorticity. The additional material explains the construction of the hydrodynamicaly consistent gradients of fluid velocity and temperature in thermal models with the help of the perfect-fluid equations of motion.

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Spin polarization evolution in a boost-invariant hydrodynamical background

Cited by 89 publications

References 101 publications

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

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

Conformal transformations of conservation equations in spin hydrodynamics

Longitudinal spin polarization in a thermal model

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