On Scalar Electromagnetism in Phase Space

Abstract

In this paper the interaction of a scalar field and the electromagnetic field in phase space is analyzed. The scattering process is calculated up to first order in the Planck constant which is obtained by an expansion of the Moyal product in phase space. The transition amplitude is calculated in the same context.

arXiv comment13 pages, 5 figures, accepted for publication in International Journal of Modern Physics A

References in corpus (11)

• Negativity of the Wigner function as an indicator of nonclassicality
• Schwinger pair production in space- and time-dependent electric fields: Relating the Wigner formalism to quantum kinetic theory
• Particle self-bunching in the Schwinger effect in spacetime-dependent electric fields
• Scalar Electrodynamics and Primordial Magnetic Fields
• Noncommutative Geometry and Symplectic Field Theory
• Low-energy Moller scattering in a Maxwell-Chern-Simons Lorentz-violating planar model
• Realization of the Noncommutative Seiberg-Witten Gauge Theory by Fields in Phase Space
• Non-linear Liouville and Shrödinger equations in phase space
• The Noncommutative Harmonic Oscillator based in Simplectic Representation of Galilei Group
• An UV Completion of Five Dimensional Scalar QED and Lorentz Symmetry
• The Effectve Potential in Massless Theories