Work

Exact Wigner function for chiral spirals

Year: 2025

Type: article

Abstract: The exact solution of the Dirac equation for fermions coupled to an external periodic chiral condensate (chiral spiral) is used to obtain the exact formula for the Wigner function (up to the quantum loop corrections). We find that the resulting expressions for various coefficients of the Wigner function exhibit properties that cannot be reproduced within the standard semiclassical expansion. The formula for the axial vector component of the Wigner function can be conveniently used to study spin polarization effects and illustrate connections between the spin density matrix and axial current. In particular, we find that during an adiabatic change of the periodic potential into a uniform one, the polarization vector is twisted from its original direction.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/vmkx-t59n

Authors: Samapan Bhadury, Wojciech Florkowski, Sudip Kumar Kar, Valeriya Mykhaylova

Institution: Jagiellonian University

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: Narodowe Centrum Nauki, Uniwersytet Jagielloński w Krakowie

Awards: G2765557750, G6385391674