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We calculate the constitutive equations of the stress-energy tensor and the currents of the free massless Dirac field at thermodynamic equilibrium with acceleration and rotation and a conserved axial charge by using the density operator…

High Energy Physics - Theory · Physics 2022-02-23 M. Buzzegoli , F. Becattini

We show that the stress-energy tensor has additional terms with respect to the ideal form in states of global thermodynamic equilibrium in flat spacetime with non-vanishing acceleration and vorticity. These corrections are of quantum origin…

General Relativity and Quantum Cosmology · Physics 2015-09-02 F. Becattini , E. Grossi

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 present a study of the thermodynamics of the massless free Dirac field at equilibrium with axial charge, angular momentum and and external electromagnetic field to assess the interplay between chirality, vorticity and electromagnetic…

High Energy Physics - Theory · Physics 2021-07-29 M. Buzzegoli

Inspired by the work in Ref.[1], which considers the additional second-order contributions arising from nonlocal corrections due to two-point correlation functions of tensors of different ranks at distinct spacetime points, we similarly…

Nuclear Theory · Physics 2025-05-15 Duan She , Yi-Wei Qiu , Ze-Fang Jiang , Defu Hou

We revisit the canonical formulation of spin hydrodynamics for Dirac fermions with a general thermal vorticity. The orders of the general thermal vorticity and the corresponding spin variables are considered independently from those of the…

Nuclear Theory · Physics 2024-10-11 Lixin Yang , Li Yan

We study a relativistic fluid with longitudinal boost invariance in a quantum-statistical framework as an example of a solvable non-equilibrium problem. For the free quantum field, we calculate the exact form of the expectation values of…

High Energy Physics - Theory · Physics 2022-03-14 D. Rindori , L. Tinti , F. Becattini , D. Rischke

We present a new derivation of relativistic second-order dissipative hydrodynamics for quantum systems using Zubarev's non-equilibrium statistical-operator formalism. This is achieved by a systematic expansion of the energy-momentum tensor…

Nuclear Theory · Physics 2022-02-02 Arus Harutyunyan , Armen Sedrakian , Dirk H. Rischke

Parity preserving relativistic fluids in four spacetime dimensions admit seven independent thermodynamic susceptibilities at the second order in the hydrodynamic derivative expansion. We compute all parity-even second order thermodynamic…

High Energy Physics - Theory · Physics 2019-11-18 Ashish Shukla

The second-order hydrodynamic equations for evolution of shear and bulk viscous pressure have been derived within the framework of covariant kinetic theory based on the effective fugacity quasiparticle model. The temperature-dependent…

High Energy Physics - Phenomenology · Physics 2021-09-22 Samapan Bhadury , Manu Kurian , Vinod Chandra , Amaresh Jaiswal

We derive the second-order dissipative relativistic hydrodynamic equations in a generic frame with a continuous parameter from the relativistic Boltzmann equation. We present explicitly the relaxation terms in the energy and particle…

High Energy Physics - Phenomenology · Physics 2014-11-20 Kyosuke Tsumura , Teiji Kunihiro

In hydrodynamics, for generic relaxations, the stress tensor and $U(1)$ charge current two-point functions are not time-reversal covariant. This remains true even if the Martin-Kadanoff procedure happens to yield Onsager reciprocal…

High Energy Physics - Theory · Physics 2023-09-11 Andrea Amoretti , Daniel K. Brattan , Luca Martinoia , Ioannis Matthaiakakis

Self-consistent hydrodynamic one-loop quantum corrections to the Gross-Pitaevskii equation due to the interaction of the condensate with collective excitations are calculated. It is done by making use a formalism of effective action and…

Statistical Mechanics · Physics 2008-02-03 K. N. Ilinski , A. S. Stepanenko

The hydrodynamic coefficients in the axial current are calculated on the basis of the equilibrium quantum statistical density operator in the third order of perturbation theory in thermal vorticity tensor both for the case of massive and…

High Energy Physics - Theory · Physics 2019-03-27 George Y. Prokhorov , Oleg V. Teryaev , Valentin I. Zakharov

In this work, we extend the formalism of second-order relativistic dissipative hydrodynamics, developed previously using Zubarev's non-equilibrium statistical operator formalism. By employing a second-order expansion of the statistical…

Nuclear Theory · Physics 2025-11-17 Arus Harutyunyan , Armen Sedrakian

We present some exact solutions of relativistic second-order hydrodynamic equations in theories with conformal symmetry. Starting from a spherically expanding solution in ideal hydrodynamics, we take into account general conformal…

High Energy Physics - Theory · Physics 2014-03-26 Yoshitaka Hatta , Jorge Noronha , Bo-Wen Xiao

By making use of the chiral kinetic theory in the relaxation-time approximation, we derive an Israel-Stewart type formulation of the hydrodynamic equations for a chiral relativistic plasma made of neutral particles (e.g., neutrinos). The…

High Energy Physics - Theory · Physics 2017-06-06 E. V. Gorbar , D. O. Rybalka , I. A. Shovkovy

Based on known analytic results, the thermal expectation value of the stress-energy tensor (SET) operator for the massless Dirac field is analyzed from a hydrodynamic perspective. Key to this analysis is the Landau decomposition of the SET,…

High Energy Physics - Theory · Physics 2017-05-22 Victor E. Ambrus

The Two-Body Dirac equations of constraint theory are of special interest not only in view of applications for phenomenological calculations of mesonic spectra but also because they avoid no-go theorems about relativistic interactions.…

Quantum Physics · Physics 2015-07-29 Matthias Lienert

Generalized Dirac equation containing vacuum-mass contribution is introduced. The vacuum-mass contribution arises due to the coupling of quantum mechanical matter field with the vacuum field. Vacuum stress energy tensor arises in the…

Quantum Physics · Physics 2018-09-20 Sijo K. Joseph
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