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We give a brief overview of the kinetic theory for spin-1/2 fermions in Wigner function formulism. The chiral and spin kinetic equations can be derived from equations for Wigner functions. A general Wigner function has 16 components which…

High Energy Physics - Phenomenology · Physics 2021-02-03 Jian-Hua Gao , Zuo-Tang Liang , Qun Wang

A new definition of the Wigner function for quantum fields coupled to curved space--time and an external Yang--Mills field is studied on the example of a scalar and a Dirac fields. The definition uses the formalism of the tangent bundles…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Oleg A. Fonarev

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 formulation for the construction of first order equations which describe particles with spin, in the context of a manifestly covariant relativistic theory governed by an invariant evolution parameter; one obtains a consistent…

High Energy Physics - Theory · Physics 2014-11-18 B. Sarel , L. P. Horwitz

We construct a matrix-valued spin-dependent distribution function (MVSD) for massive spin-1/2 fermions and study its properties under Lorentz transformations. Such transformations result in a Wigner rotation in spin space and in a…

Nuclear Theory · Physics 2022-12-21 Xin-Li Sheng , Qun Wang , Dirk H. Rischke

Particles propagating in de Sitter spacetime can be described by the topological BF $\SO(4,1)$ theory coupled to point charges. Gravitational interaction between them can be introduced by adding to the action a symmetry breaking term, which…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jerzy Kowalski-Glikman , Artem Starodubtsev

A new non-perturbative approach to quantum theory in curved spacetime and to quantum gravity, based on a generalisation of the Wigner equation, is proposed. Our definition for a Wigner equation differs from what have otherwise been…

High Energy Physics - Theory · Physics 2009-10-30 Frank Antonsen

A theoretical scheme, based on a probabilistic generalization of the Hamilton's principle, is elaborated to obtain an unified description of more general dynamical behaviors determined both from a lagrangian function and by mechanisms not…

Quantum Physics · Physics 2009-09-28 Matteo Villani

We derive and analyze an effective quantum Boltzmann equation in the kinetic regime for the interactions of four distinguishable types of fermionic spin-$\frac{1}{2}$ particles, starting from a general quantum field Hamiltonian. Each…

Mathematical Physics · Physics 2015-03-09 Martin L. R. Fürst , Markus Kotulla , Christian B. Mendl , Herbert Spohn

We review the recent progress in formulating a quantum kinetic theory for the polarization of spin-$\frac{1}{2}$ massive quarks from the leading-log order of perturbative QCD.

High Energy Physics - Phenomenology · Physics 2021-02-03 Shiyong Li

We derive the relativistic kinetic equation and collision kernel for dense gases of spin $0$ particles from quantum field theory based on the Wigner-function formalism. The formalism developed by Degroot can be used as an effective way for…

High Energy Physics - Phenomenology · Physics 2021-10-26 Jin Hu

We show that Wigner's infinite spin particle classically is described by a reparametrization invariant higher order geometrical Lagrangian. The model exhibit unconventional features like tachyonic behaviour and momenta proportional to…

High Energy Physics - Theory · Physics 2009-11-11 Ludde Edgren , Robert Marnelius , Per Salomonson

The concept of phase space distribution functions and their evolution is used in the case of en enlarged phase space. In particular, we include the intrinsic spin of particles and present a quantum kinetic evolution equation for a scalar…

Quantum Physics · Physics 2015-05-18 M. Marklund , J. Zamanian , G. Brodin

We develop the general theory of spinning particles with electric and magnetic dipole moments moving in arbitrary electromagnetic, inertial and gravitational fields. Both the quantum-mechanical and classical dynamics is investigated. We…

High Energy Physics - Theory · Physics 2017-11-15 Yuri N. Obukhov , Alexander J. Silenko , Oleg V. Teryaev

We derive quantum kinetic equations for fermions in a homogeneous time-dependent background in presence of decohering collisions, by use of the Schwinger-Keldysh CTP-formalism. The quantum coherence (between particles and antiparticles) is…

High Energy Physics - Phenomenology · Physics 2009-03-24 Matti Herranen , Kimmo Kainulainen , Pyry Matti Rahkila

This is the first of a series of papers considering symmetry properties of quantum systems over 2D graphs or manifolds, with continuous spins, in the spirit of the Mermin--Wagner theorem. In the model considered here (quantum rotators) the…

Probability · Mathematics 2013-04-04 Mark Kelbert , Yurii Suhov

Wigner's particle classification provides for "continuous spin" representations of the Poincar\'e group, corresponding to a class of (as yet unobserved) massless particles. Rather than building their induced realizations by use of "Wigner…

High Energy Physics - Theory · Physics 2019-10-18 José M. Gracia-Bondía , Joseph C. Várilly

We present the quantum kinetic equation for spin polarization of massive quarks in leading log order of perturbative QCD, which describes time evolution of the spin density matrix in momentum space of a massive quark interacting with a…

High Energy Physics - Phenomenology · Physics 2019-10-01 Shiyong Li , Ho-Ung Yee

An examination is made of the way in which particles emerge from linear, bosonic, massive quantum field theories. Two different constructions of the one-particle subspace of such theories are given, both illustrating the importance of the…

Quantum Physics · Physics 2007-05-23 David Wallace

A general relation between the Moyal formalisms for a spin and a particle is established. Once the formalism has been set up for a spin, the phase-space description of a particle is obtained from the `contraction' of the group of rotations…

Quantum Physics · Physics 2009-11-06 Jean-Pierre Amiet , Stefan Weigert