Relativistic kinetic equations for electromagnetic, scalar, and pseudoscalar interactions

Zhuang, Pengfei; Heinz, Ulrich

doi:10.1103/physrevd.53.2096

Cited by 32 publications

(46 citation statements)

References 16 publications

(42 reference statements)

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“…At first, it might seem that the definition of the Wigner involving integrals evaluated at equal-time blatantly violates the relativistic notion of the unity of space and time. There were many efforts [15][16][17]to correct this seeming shortcoming by including also integration over time. However, such constructions turned out not to be very useful because they requires the knowledge of the whole history of the system.…”

Section: Discussionmentioning

confidence: 99%

Relativistic Wigner functions

Bialynicki‐Birula

2014

EPJ Web of Conferences

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Section: Discussionmentioning

confidence: 99%

Relativistic Wigner functions

Bialynicki‐Birula

2014

EPJ Web of Conferences

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“…The formalism based on the DHW function was further developed in [2][3][4][5] to yield quantum transport theory for relativistic spinning particles. In several papers [6][7][8][9][10][11] a relativistic generalization of the Wigner function was introduced. However, this approach is not suited for the solution of the initial value problem which is the main subject of this work.…”

Section: Introductionmentioning

confidence: 99%

Time evolution of the QED vacuum in a uniform electric field: Complete analytic solution by spinorial decomposition

Bialynicki‐Birula

Rudnicki

2011

Phys. Rev. D

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Exact analytical solutions are presented for the time evolution of the density of pairs produced in the QED vacuum by a time-independent, uniform electric field. The mathematical tool used here to describe the pair production is the Dirac-Heisenberg-Wigner function introduced before [Phys. Rev. D 44, 1825]. The initial value problem for this function is solved by decomposing the solution into a product of spinors. The equations for spinors are much simpler and are solved analytically. These calculations are nonperturbative since pair production is due to quantum-mechanical tunneling and the explicit solutions clearly exhibit their nonanalytic behavior.

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“…Refs. [6,7,8]), which makes use of the dynamics of Wigner functions, which are closely related to classical phase space distributions.…”

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confidence: 99%

Coherent Baryogenesis

2004

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We propose a new baryogenesis scenario based on coherent production and mixing of different fermionic species. The mechanism is operative during phase transitions, at which the fermions acquire masses via Yukawa couplings to scalar fields. Baryon production is efficient when the mass matrix is nonadiabatically varying, nonsymmetric and when it violates CP and B−L directly, or some other charges that are eventually converted to B−L. We first consider a toy model, which involves two mixing fermionic species, and then a hybrid inflationary scenario embedded in a supersymmetric Pati-Salam GUT. We show that, quite generically, a baryon excess in accordance with observation can result.

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Relativistic kinetic equations for electromagnetic, scalar, and pseudoscalar interactions

Abstract: We derive the kinetic equations for both the covariant and equal-time Wigner functions of Dirac particles with electromagnetic, scalar and pseudoscalar interactions. We emphasize the constraint equations for the spinor components in the equal-time formulation.

Cited by 32 publications

References 16 publications

Relativistic Wigner functions

Relativistic Wigner functions

Time evolution of the QED vacuum in a uniform electric field: Complete analytic solution by spinorial decomposition

Coherent Baryogenesis

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