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Due to the spin-orbit coupling, Dirac fermions, submerged in a thermal bath with finite macroscopic vorticity, exhibit a spin polarisation along the direction parallel to the vorticity vector $\boldsymbol{\Omega}$. Due to the symmetries of…

High Energy Physics - Theory · Physics 2025-02-17 Sergio Morales-Tejera , Victor E. Ambruş , Maxim N. Chernodub

We study local spin polarization in the relativistic hydrodynamic model. Generalizing the Wigner functions previously obtained from chiral kinetic theory by Y. Hidaka et al. [Phys. Rev. D 97, 016004 (2018)] to the massive case, we present…

High Energy Physics - Phenomenology · Physics 2021-12-28 Cong Yi , Shi Pu , Di-Lun Yang

In a fluid with vorticity and acceleration, an axial current arises in the third order of gradient expansion, called the kinematical vortical effect (KVE). While existing in the absence of gravitational fields, it is nevertheless associated…

High Energy Physics - Theory · Physics 2023-04-05 Georgy Yu. Prokhorov , Oleg V. Teryaev , Valentin I. Zakharov

Statistical average of the axial current is evaluated on the basis of the covariant Wigner function. In the resulting formula, chemical potential $\mu$, angular velocity $\Omega$ and acceleration $a$ enter in combination $\mu \pm (\Omega…

High Energy Physics - Theory · Physics 2018-10-31 G. Prokhorov , O. Teryaev , V. Zakharov

The concept of the Wigner function is used to construct a semi-classical kinetic theory describing the evolution of the axial-current phase-space density of spin-1/2 particles in the relaxation time approximation. The resulting approach can…

High Energy Physics - Phenomenology · Physics 2021-02-01 Samapan Bhadury , Wojciech Florkowski , Amaresh Jaiswal , Avdhesh Kumar , Radoslaw Ryblewski

We perform an explicit calculation of the axial current at finite rotation and temperature in curved space. We find that finite curvature and mass corrections to the chiral vortical effect satisfy a relation of the chiral gap effect, that…

High Energy Physics - Theory · Physics 2018-11-21 Antonino Flachi , Kenji Fukushima

Based on the Wigner function in local equilibrium, we derive hydrodynamical quantities for a system of polarized spin-1/2 particles: the particle number current density, the energy-momentum tensor, the spin tensor, and the dipole moment…

High Energy Physics - Theory · Physics 2021-12-22 Hao-Hao Peng , Jun-Jie Zhang , Xin-Li Sheng , Qun Wang

Fermion bilinear operators of mass dimension~$3$, such as the axial-vector and vector currents, the pseudo-scalar and scalar densities, whose normalizations are fixed by Ward--Takahashi (WT) relations, are related to small flow-time…

High Energy Physics - Lattice · Physics 2024-02-08 Kenji Hieda , Hiroshi Suzuki

Various approaches to estimate turbulent transport coefficients from numerical simulations of hydromagnetic turbulence are discussed. A quantitative comparison between the averaged magnetic field obtained from a specific three-dimensional…

Astrophysics · Physics 2009-11-07 Axel Brandenburg , Dmitry Sokoloff

We apply the Hilbert series to extend the gravitational action for a scalar field to a complete, non-redundant basis of higher-dimensional operators that is quadratic in the scalars and the Weyl tensor. Such an extension of the action fully…

High Energy Physics - Theory · Physics 2020-12-30 Kays Haddad , Andreas Helset

Helicity of free massless Dirac fermions is a conserved, Lorentz-invariant quantity at the level of the classical equations of motion. For a generic ensemble consisting of particles and antiparticles, the helical and chiral charges are…

High Energy Physics - Theory · Physics 2023-03-23 Victor E. Ambrus , M. N. Chernodub

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

Quantum anomalies give rise to novel transport phenomena, including the generation of a current in a relativistic fluid due to the presence of magnetic field or vorticity. We present an exclusive and direct computation of the chiral anomaly…

High Energy Physics - Theory · Physics 2025-07-04 Rémy Larue , Jérémie Quevillon , Diego Saviot

We study equilibrium transport properties of massless Dirac fermions at finite temperature and chemical potential in spacetime accompanied by torsion, which in four dimensions couples with Dirac fermions as an axial gauge field. In…

High Energy Physics - Theory · Physics 2022-12-06 Tatsuya Amitani , Yusuke Nishida

We study the three-dimensional transport theory of massive spin-1/2 fermions resulting from the vorticity dependent quantum kinetic equation. This quantum kinetic equation has been introduced to take account of noninertial properties of…

High Energy Physics - Theory · Physics 2022-09-02 Ö. F. Dayi , S. E. Gürleyen

We present a consistent scheme of quantization of chiral flows (flows with extensive vorticity) in ideal hydrodynamics in two dimensions. Chiral flows occur in rotating superfluid, rotating turbulence and also in electronic systems in the…

Strongly Correlated Electrons · Physics 2019-07-23 P. Wiegmann

We study coefficients of axial chiral vortical effect and chiral separation effect at finite temperature and vector chemical potential in massive theories. We present two independent methods of calculating the coefficients: one from field…

Nuclear Theory · Physics 2018-12-26 Shu Lin , Lixin Yang

We determine the Wigner function of a rigidly rotating quantum electrodynamics (QED) plasma in the presence of a constant magnetic field by utilizing the Riemannian normal coordinate approximation, which has been previously proposed in the…

Nuclear Theory · Physics 2025-09-23 M. Kiamari , N. Sadooghi

We follow and modify the Feshbach-Villars formalism by separating the Klein-Gordon equation into two coupled time-dependent Schroedinger equations for particle and antiparticle wave function components with positive probability densities.…

High Energy Physics - Phenomenology · Physics 2011-08-04 Cheuk-Yin Wong

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