New developments in relativistic fluid dynamics with spin

Bhadury, Samapan; Bhatt, Jitesh R.; Jaiswal, Amaresh; Kumar, Avdhesh

doi:10.1140/epjs/s11734-021-00020-4

Cited by 37 publications

(20 citation statements)

References 72 publications

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“…This mismatch between theory and experiment, currently known as the sign problem, has triggered further theoretical developments raising questions of spin nonequilibrium effects and its genuine dynamics. Among others, the idea of incorporating spin degrees of freedom in the hydrodynamic framework has gained a significant attention as it opened the possibility of probing purely quantum features of the matter in the classical hydrodynamic framework [32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Spin polarization evolution in a boost-invariant hydrodynamical background

et al. 2019

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Relativistic hydrodynamic equations for particles with spin 1 /2 are used to determine the spacetime evolution of the spin polarization in a boost-invariant and transversely homogeneous background. The hydrodynamic approach uses the forms of the energy-momentum and spin tensors based on de Groot, van Leeuwen, and van Weert formalism. Our calculations illustrate how the formalism of hydrodynamics with spin can be used to determine physical observables related to the spin polarization and how the latter can be compared with the experimental data.

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Section: Introductionmentioning

confidence: 99%

Spin polarization evolution in a boost-invariant hydrodynamical background

et al. 2019

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“…Particularly interesting directions of study which are recently being followed include investigations of spin polarization phenomena in relativistic nuclear matter [12,13] and its dynamics under the influence of electromagnetic fields (EM) [14]. Recent spin polarization measurements of emitted particles provided a new probe for studying QGP [15][16][17][18][19][20][21][22] and triggered many theoretical developments [23][24][25][26][27][28][29][30][31][32], see also [33][34][35][36][37][38][39][40][41][42]. Being oriented along the direction of the global angular momentum of the colliding system, microscopically, the spin polarization is believed to arise because of the spin-orbit coupling [43].…”

Section: Introductionmentioning

confidence: 99%

Relativistic magnetohydrodynamics with spin

Singh¹,

Shokri²,

Mehr³

2022

Preprint

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We extend the classical phase-space distribution function to include the spin and electromagnetic fields coupling and derive the modified constitutive relations for charge current, energy-momentum tensor, and spin tensor. Because of the coupling, the new tensors receive corrections to their perfect-fluid counterparts and make the background and spin fluid equations of motion communicate with each other. We investigate special cases which are relevant in high-energy heavy-ion collisions, including baryon free matter and large mass limit. Using Bjorken symmetries, we find that spin polarization increases with increasing magnetic field for an initially positive baryon chemical potential. The corrections derived in this framework may help to explain the splitting observed in Lambda hyperons spin polarization measurements.

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“…For this reason, recent studies have begun to examine the role of spin tensor [9][10][11][12][13][14][15][16] and also the impact of a spin potential [17][18][19][20][21] in relativistic hydrodynamics. In more general terms, different decompositions of the boost-angular momentum current are obtained by choosing a particular form of the quantum energy-momentum tensor (EMT) T µν and of the spin tensor S λ,µν .…”

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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New developments in relativistic fluid dynamics with spin

Cited by 37 publications

References 72 publications

Spin polarization evolution in a boost-invariant hydrodynamical background

Spin polarization evolution in a boost-invariant hydrodynamical background

Relativistic magnetohydrodynamics with spin

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

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