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We study the longitudinal spin polarization of a relativistic fluid of massive spin-1/2 particles undergoing a boost-invariant expansion in the longitudinal direction and rotating in the transverse plane. We express the polarization vector…

Nuclear Theory · Physics 2025-03-18 Nora Weickgenannt , Jean-Paul Blaizot

We derive a Cooper-Frye type spin polarization formula for Dirac fermions at local thermal equilibrium described by a grand canonical ensemble specified by temperature, fluid velocity, chemical potential, and spin potential. We discuss the…

Nuclear Theory · Physics 2022-06-06 Yu-Chen Liu , Xu-Guang Huang

We compute the fermion spin distribution in the vortical fluid created in off-central high-energy heavy-ion collisions. We employ the event-by-event (3+1)D viscous hydrodynamic model. The spin polarization density is proportional to the…

Nuclear Theory · Physics 2018-03-14 Hui Li , Hannah Petersen , Long-Gang Pang , Qun Wang , Xiao-Liang Xia , Xin-Nian Wang

We present an extension of relativistic single-particle distribution function for weakly interacting particles at local thermodynamical equilibrium including spin degrees of freedom, for massive spin 1/2 particles. We infer, on the basis of…

Nuclear Theory · Physics 2015-06-15 F. Becattini , V. Chandra , L. Del Zanna , E. Grossi

We show that spin polarization of a fermion in a relativistic fluid at local thermodynamic equilibrium can be generated by the symmetric derivative of the four-temperature vector, defined as thermal shear. As a consequence, besides…

Nuclear Theory · Physics 2021-07-21 F. Becattini , M. Buzzegoli , A. Palermo

In these proceedings I discuss the recent progress in the theory of spin polarization in relativistic fluids. To date, a number of studies have begun to examine the impact of the shear tensor on the local spin polarization and whether this…

Nuclear Theory · Physics 2023-03-22 Matteo Buzzegoli

The polarization of the $\Lambda$ particle offers the unique opportunity to study the hydrodynamic gradients in the Quark-Gluon Plasma formed in heavy-ion collisions. However, the theoretical formula commonly used to calculate polarization…

Nuclear Theory · Physics 2023-12-12 Andrea Palermo

Semiclassical expansion of the Wigner function for spin-1/2 fermions having an effective spacetime-dependent mass is used to analyze spin-polarization effects. The existing framework is reformulated to obtain a differential equation…

High Energy Physics - Phenomenology · Physics 2024-01-24 Samapan Bhadury , Arpan Das , Wojciech Florkowski , Gowthama K. K. , Radoslaw Ryblewski

Motivated by the key role of shear induced polarization in understanding the local spin polarization puzzle of $\Lambda$ hyperons in heavy ion collisions, we perform a complete analysis of spin polarization of massive fermion in a quantum…

High Energy Physics - Phenomenology · Physics 2024-12-02 Ziyue Wang , Shu Lin

We present the exact form of the spin polarization vector and the spin density matrix of massive and massless free particles of any spin and helicity at general global equilibrium in a relativistic fluid with non-vanishing thermal…

Nuclear Theory · Physics 2023-06-16 Andrea Palermo , Francesco Becattini

Polarization has opened a new physics chapter in relativistic heavy-ion collisions. Since the first prediction and experimental observation of global spin polarization, a lot of progress has been made in understanding its features, both at…

Nuclear Theory · Physics 2024-02-08 Francesco Becattini , Matteo Buzzegoli , Takafumi Niida , Shi Pu , Ai-Hong Tang , Qun Wang

The spin polarization measurements of particles emitted in heavy-ion collisions have opened the possibility for new phenomenological investigations of spin physics in relativistic fluids. The theoretical predictions of global polarization…

Nuclear Theory · Physics 2022-12-13 M. Buzzegoli , F. Becattini , G. Inghirami , I. Karpenko , A. Palermo

Fermions become polarized in a vorticular fluid due to spin-vorticity coupling. Such a polarization can be calculated from the Wigner function in a quantum kinetic approach. Extending previous results for chiral fermions, we derive the…

Nuclear Theory · Physics 2016-08-24 Ren-hong Fang , Long-gang Pang , Qun Wang , Xin-nian Wang

We present a framework for spin dynamics in the quark-gluon plasma created in relativistic heavy-ion collisions. Under the approximation of small polarization, macroscopic spin degrees of freedom decouple from the background, and their…

High Energy Physics - Phenomenology · Physics 2025-11-13 Sapna , Sushant K. Singh , David Wagner

We develop a second order formalism for spin 1/2 fermions based on the projection over Poincar\'{e} invariant subspaces in the $(1/2,0)\oplus(0,1/2)$ representation of the homogeneous Lorentz group. Using $U(1)_{em}$ gauge principle we…

High Energy Physics - Phenomenology · Physics 2011-04-22 E. G. Delgado-Acosta , Mauro Napsuciale , Simon Rodriguez

We evaluate the charge and longitudinal spin response functions of a two-dimensional electron gas with $e^2/r$ interactions in an arbitrary state of spin polarization, using a structurally self-consistent approach to treat exchange and…

Strongly Correlated Electrons · Physics 2015-06-24 B. Davoudi , M. P. Tosi

We revisit the spin effects induced by thermal vorticity by calculating them directly from the spin-dependent distribution functions. For the spin-1/2 particles, we give the polarization up to the first order of thermal vorticity and…

High Energy Physics - Phenomenology · Physics 2023-11-17 Jian-Hua Gao , Shi-Zheng Yang

In this paper, we present a detailed derivation of relativistic first-order spin hydrodynamics using the Chapman-Enskog method to linearize the nonlocal collision term for massive fermions proposed in \cite{Weickgenannt:2021cuo}, which well…

High Energy Physics - Phenomenology · Physics 2022-04-27 Jin Hu

We perform a systematic study of the spin polarization of hyperons in heavy-ion collisions using the MUSIC hydrodynamic model with A Multi-Phase Transport (AMPT) pre-equilibrium dynamics. Our model calculations nicely describe the measured…

Nuclear Theory · Physics 2021-02-10 Baochi Fu , Kai Xu , Xu-Guang Huang , Huichao Song

We show that, in ideal-spin hydrodynamics, the components of the spin tensor follow damped wave equations. The damping rate is related to nonlocal collisions of the particles in the fluid, which enter at first order in $\hbar$ in a…

Nuclear Theory · Physics 2025-02-10 David Wagner , Masoud Shokri , Dirk H. Rischke
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