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Related papers: Quantum kinetic theory with interactions for massi…

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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 calculate the Wigner function for charged spin-1 particles in inhomogeneous classical electromagnetic fields, going to first order in a power series in $\hbar$. The Boltzmann equation for the scalar distribution function obtained from…

Nuclear Theory · Physics 2022-07-29 David Wagner , Nora Weickgenannt , Enrico Speranza

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 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

We calculate the Wigner function for massive spin-1/2 particles in an inhomogeneous electromagnetic field to leading order in the Planck constant $\hbar$. Going beyond leading order in $\hbar$ we then derive a generalized Boltzmann equation…

High Energy Physics - Phenomenology · Physics 2019-10-02 Nora Weickgenannt , Xin-li Sheng , Enrico Speranza , Qun Wang , Dirk H. Rischke

We present a quantum kinetic theory for spin-$1/2$ particles, including the spin-orbit interaction, retaining particle dispersive effects to all orders in $\hbar$, based on a gauge-invariant Wigner transformation. Compared to previous…

Plasma Physics · Physics 2023-02-23 Robin Ekman , Haidar Al-Naseri , Jens Zamanian , Gert Brodin

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 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

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

We develop a quantum kinetic theory for QCD, which incorporates all leading order collision terms. At lowest order in gradient expansion, it reproduces the spin-averaged Boltzmann equation with both elastic and inelastic collisions. At next…

High Energy Physics - Phenomenology · Physics 2026-03-05 Shu Lin

We calculate the Wigner function for massive spin-1/2 particles in an inhomogeneous electromagnetic field to leading order in the Planck constant $\hbar$. Going beyond leading order in $\hbar$ we then derive a generalized Boltzmann equation…

High Energy Physics - Phenomenology · Physics 2021-02-03 Nora Weickgenannt , Xin-li Sheng , Enrico Speranza , Qun Wang , Dirk H. Rischke

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 the quantum kinetic theory for massive fermions with collision terms and self-energy corrections based on quantum field theory. We adopt an effective power counting scheme with $\hbar$ expansion to obtain the leading-order…

High Energy Physics - Phenomenology · Physics 2024-03-28 Shuo Fang , Shi Pu , Di-Lun Yang

The Proca-Corben-Schwinger equations for a spin-1 particle with an anomalous magnetic moment are added by a term describing an electric dipole moment, then they are reduced to a Hamiltonian form, and finally they are brought to the…

High Energy Physics - Phenomenology · Physics 2013-04-26 Alexander J. Silenko

We derive the relativistic quantum kinetic equation for massless fermions with vector and axial vector interaction using the Wigner function formalism. The vector and axial vector currents are self-consistently treated with corresponding…

High Energy Physics - Phenomenology · Physics 2024-07-04 Peiwei Yu , Xingyu Guo

Starting from the Pauli Hamiltonian operator, we derive a scalar quantum kinetic equations for spin-1/2 systems. Here the regular Wigner two-state matrix is replaced by a scalar distribution function in extended phase space. Apart from…

Quantum Gases · Physics 2010-04-21 Jens Zamanian , Mattias Marklund , Gert Brodin

We revisit the derivation of the nonlocal collision term in the Boltzmann equation for spin-1/2 particles, using both the Wigner-function approach by de Groot, van Leeuwen, and van Weert, and the Kadanoff-Baym equation in $T$-matrix…

Nuclear Theory · Physics 2023-01-11 David Wagner , Nora Weickgenannt , Dirk H. Rischke

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

We develop a bottom-up formulation of spin-kinetic theory for hot and/or dense plasmas. We introduce scalar and axial-vector phase-space functions as dynamical variables that parametrize both spin-averaged and spin-dependent distribution…

Nuclear Theory · Physics 2026-01-21 Zonglin Mo , Yi Yin
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