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We analyze algebraic structure of a relativistic semi-classical Wigner function of particles with spin 1/2 and show that it consistently includes information about the spin density matrix both in two-dimensional spin and four-dimensional…

Nuclear Theory · Physics 2020-06-24 Wojciech Florkowski , Avdhesh Kumar , Radoslaw Ryblewski

We derive relativistic hydrodynamic equations with a dynamical spin degree of freedom on the basis of an entropy-current analysis. The first and second laws of local thermodynamics constrain possible structures of the constitutive relations…

High Energy Physics - Theory · Physics 2019-07-03 Koichi Hattori , Masaru Hongo , Xu-Guang Huang , Mamoru Matsuo , Hidetoshi Taya

A recently proposed Boltzmann local equilibrium Wigner function for massive spin-1/2 particles is generalized to the case of Fermi-Dirac statistics. The resulting formula ensures the correct normalization of the mean polarization vector and…

Quantum Physics · Physics 2025-11-18 Sudip Kumar Kar , Valeriya Mykhaylova

We present a new treatment for the spin of a massive relativistic particle in the context of quantum information based on a physical interpretation of the Wigner rotations, obtaining different results in relation to the previous works. We…

Quantum Physics · Physics 2012-02-28 Pablo L. Saldanha , Vlatko Vedral

The shear viscosity is a fundamental transport property of matter. Here we derive a general theory of the viscosity of gases based on the relativistic Langevin equation (deduced from a relativistic Lagrangian) and nonaffine linear response…

High Energy Physics - Phenomenology · Physics 2024-11-08 Alessio Zaccone

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…

High Energy Physics - Theory · Physics 2021-10-27 Andrea Palermo , Matteo Buzzegoli , Francesco Becattini

We derive expressions for the vector and tensor components of the spin polarization of massive vector bosons at local thermodynamic equilibrium up to second order in the space-time gradients of the thermodynamic fields pertaining to the…

High Energy Physics - Phenomenology · Physics 2025-07-24 Zhong-Hua Zhang , Xu-Guang Huang , Francesco Becattini , Xin-Li Sheng

We use Lagrangian effective field theory techniques to construct the equations of motion for an ideal relativistic fluid whose constituent degrees of freedom have microscopic polarization. We discuss the meaning of such a system, and argue…

High Energy Physics - Theory · Physics 2017-09-27 David Montenegro , Leonardo Tinti , Giorgio Torrieri

Different bases for the spin-1 density matrix are discussed to clarify the connection between its components and observables measured in heavy-ion collisions. The theoretical advantage of using the adjoint representation for spin matrices…

Nuclear Theory · Physics 2026-02-03 Wojciech Florkowski , Sudip Kumar Kar , Valeriya Mykhaylova

Fluid dynamic approach is a workhorse for modelling collective dynamics in relativistic heavy-ion collisions. The approach has been successful in describing various features of the momentum distributions of hadrons produced in the heavy-ion…

Nuclear Theory · Physics 2021-08-04 Iurii Karpenko

The new scheme of stochastic quantization is proposed. This quantization procedure is equivalent to the deformation of an algebra of observables in the manner of deformation quantization with an imaginary deformation parameter (the Planck…

High Energy Physics - Theory · Physics 2007-06-13 P. O. Kazinski

The mean spin polarization vector of spin 1/2 particles in a relativistic fluid at local thermal equilibrium (LTE) in different pseudogauges (PGs), i.e., with different choices for the decomposition of orbital and spin angular momentum, is…

Nuclear Theory · Physics 2022-04-26 M. Buzzegoli

The conventional Wigner function is inappropriate in a quantum field theory setting because, as a quasiprobability density over phase space, it is not manifestly Lorentz covariant. A manifestly relativistic variant is constructed as a…

Quantum Physics · Physics 2007-05-23 Peter Morgan

In this introductory review article, we explore the special relativistic equations of particle motions and the consequent derivation of Einstein's famous formula $E=mc^2$. Next, we study the special relativistic electromagnetic field…

Mathematical Physics · Physics 2007-05-23 A. Das , A. DeBenedictis , S. Kloster , N. Tariq

This work is concerned with a simple model for a polar fluid, a Gaussian field model based on the excess density and on the polarization. It is a convenient framework to implement the dielectric properties of correlated liquids that stem…

Chemical Physics · Physics 2018-04-04 Hélène Berthoumieux

The formulation of relativistic hydrodynamics for massive particles with spin 1/2 is shortly reviewed. The proposed framework is based on the Wigner function treated in a semi-classical approximation or, alternatively, on a classical…

Nuclear Theory · Physics 2020-12-17 Wojciech Florkowski

Starting from a general relativistic kinetic equation, a self-consistent mean-field equation for fermions is derived within a covariant density matrix approach of QED plasmas in strong external fields. A Schr\"odinger picture formulation on…

Quantum Physics · Physics 2007-05-23 A. Hoell , V. Morozov , G. Roepke

A modified quantum kinetic equation which takes account of the noninertial features of rotating frame is proposed. The vector and axial-vector field components of the Wigner function for chiral fluids are worked out in a semiclassical…

High Energy Physics - Theory · Physics 2018-10-24 Omer F. Dayi , Eda Kilincarslan

We briefly review the basic features of a new framework for relativistic perfect fluid hydrodynamics of polarized systems consisting of particles with spin one half. Using this approach we numerically study the stability of a stationary…

In non-central relativistic heavy-ion collisions, the produced quark-gluon plasma (QGP) behaves approximately as a rotating fluid due to the system's initial angular momentum. In this rotating fluid, the spins of quarks become polarized due…

Nuclear Theory · Physics 2025-12-22 Tianyang Li , Yunfei Fan , Anping Huang , Baoyi Chen