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We systematically derive the collision term for the axial kinetic theory, a quantum kinetic theory delineating the coupled dynamics of the vector/axial charges and spin transport carried by the massive spin-1/2 fermions traversing a medium.…

High Energy Physics - Phenomenology · Physics 2020-08-04 Di-Lun Yang , Koichi Hattori , Yoshimasa Hidaka

We investigate the radiative corrections on spin polarization of relativistic fermions induced by vortical fields in thermal-equilibrium QCD matter at weak coupling. Such corrections stem from the self-energy gradients in quantum kinetic…

High Energy Physics - Phenomenology · Physics 2025-03-18 Shuo Fang , Shi Pu , Di-Lun Yang

We present the complete first order relativistic quantum kinetic theory with spin for massive fermions derived from the Wigner function formalism in a concise form that shows explicitly how the 32 Wigner equations reduce to 4 independent…

High Energy Physics - Phenomenology · Physics 2019-10-02 Jian-Hua Gao , Zuo-Tang Liang

We derive a quantum kinetic theory for QED based on Kadanoff-Baym equations for Wigner functions. By assuming parity invariance and considering a complete set of self-energy diagrams, we find the resulting kinetic theory expanded to lowest…

High Energy Physics - Phenomenology · Physics 2022-05-10 Shu Lin

We systematically derive the chiral kinetic theory for chiral fermions with collisions, including the self-energy corrections, from quantum field theories. We find that the Wigner functions and chiral kinetic equations receive both the…

High Energy Physics - Phenomenology · Physics 2025-04-01 Naoki Yamamoto , Di-Lun Yang

We consider the quantum kinetic-theory description for interacting massive spin-half fermions using the Wigner function formalism. We derive a general kinetic theory description assuming that the spin effects appear at the classical and…

High Energy Physics - Theory · Physics 2023-09-11 Arpan Das , Wojciech Florkowski , Avdhesh Kumar , Radoslaw Ryblewski , Rajeev Singh

We derive self-consistent constraint conditions for collision terms in quantum kinetic theory using the Wigner function formalism. We present specific solutions for these collision terms that align with the constraints. we develop quantum…

High Energy Physics - Phenomenology · Physics 2024-10-24 Shi-Yuan Wu , Jian-Hua Gao

A power expansion scheme is set up to determine the Wigner function that satisfies the quantum kinetic equation for spin-1/2 charged fermions in a background electromagnetic field. Vector and axial-vector current induced by magnetic field…

High Energy Physics - Phenomenology · Physics 2012-12-27 Jian-Hua Gao , Zuo-Tang Liang , Shi Pu , Qun Wang , Xin-Nian Wang

We derive the quantum kinetic equations for massive and massless quarks coupled with the background chromo-electromagnetic fields from the Wigner-function approach with the $\hbar$ expansion and effective power-counting scheme. For each…

High Energy Physics - Phenomenology · Physics 2022-06-29 Di-Lun Yang

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

We propose an improved quark coalescence model for spin alignment of vector mesons and polarization of baryons by spin density matrix with phase space dependence. The spin density matrix is defined through Wigner functions. Within the model…

Nuclear Theory · Physics 2020-09-16 Xin-Li Sheng , Qun Wang , Xin-Nian Wang

We explain how spin alignment of vector mesons can be induced by background fields, such as electromagnetic fields or soft gluon fields. Our study is based on the quantum kinetic theory of spinning quarks and antiquarks and incorporates the…

Nuclear Theory · Physics 2023-08-02 Avdhesh Kumar , Berndt Müller , Di-Lun Yang

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 study the important, yet widely overlooked, role of gluons for spin transport with a connection to local parity violation in quark gluon plasmas. We extend the newly developed quantum kinetic theory for relativistic fermions to the case…

Nuclear Theory · Physics 2022-08-01 Berndt Müller , Di-Lun Yang

We derive the quantum kinetic theory for fermions with arbitrary mass in a background electromagnetic field from the Wigner-function approach. Since spin of massive fermions is a dynamical degree of freedom, the kinetic equations with the…

High Energy Physics - Phenomenology · Physics 2019-11-27 Koichi Hattori , Yoshimasa Hidaka , Di-Lun Yang

We develop a covariant kinetic theory for massive fermions in curved spacetime and external electromagnetic field based on quantum field theory. We derive four coupled semi-classical kinetic equations accurate at $O(\hbar)$, which describe…

High Energy Physics - Phenomenology · Physics 2021-05-06 Yu-Chen Liu , Kazuya Mameda , Xu-Guang Huang

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 analyze the spin alignment of vector mesons stemming from spin correlation of the quark and antiquark induced by background color fields in relativistic heavy ion collisions. The quark-coalescence equation relating the collision kernel…

Nuclear Theory · Physics 2025-03-11 Di-Lun Yang

We derive the Boltzmann equation and the collision kernel for massive spin-1/2 particles, using the Wigner-function formalism and employing an expansion in powers of $\hbar$. The phase space is enlarged to include a variable related to the…

Nuclear Theory · Physics 2021-08-04 Nora Weickgenannt , Enrico Speranza , Xin-li Sheng , Qun Wang , Dirk H. Rischke

Polarized quarks and antiquarks in high-energy heavy-ion collisions can lead to the spin alignment of vector mesons formed by quark coalescence. Using the relativistic spin Boltzmann equation for vector mesons derived from Kadanoff-Baym…

Nuclear Theory · Physics 2023-08-09 Xin-Li Sheng , Lucia Oliva , Zuo-Tang Liang , Qun Wang , Xin-Nian Wang
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