Duffin-Kemmer-Petiau Theory in the Causal Approach

Abstract

In this paper we consider the scalar sector of Duffin-Kemmer-Petiau theory in the framework of Epstein-Glaser causal method. We calculate the lowest order distributions for Compton scattering, vacuum polarization, self-energy and vertex corrections. By requiring gauge invariance of the theory we recover, in a natural way, the scalar propagator of the usual effective theory.

35 pages, no figures, enlarged version

References in corpus (6)

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• QCD at large and short distances (annotated version)
• The Electromagnetic Coupling in Kemmer-Duffin-Petiau Theory
• Duffin-Kemmer-Petiau and Klein-Gordon-Fock Equations for Electromagnetic, Yang-Mills and external Gravitational Field Interactions: proof of equivalence
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Cited by in corpus (14)

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• Interacting spin 0 fields with torsion via Duffin-Kemmer-Petiau theory
• Bose-Einstein Condensation and Free DKP field
• Spin 1 fields in Riemann-Cartan space-times "via" Duffin-Kemmer-Petiau theory
• Distributional approach to point interactions in one-dimensional quantum mechanics
• Massless DKP fields in Riemann-Cartan space-times
• Spin-zero system of DKP equation in the background of a flat class of Gödel-type space-time
• Lorentz-violating extension of the spin-one Duffin-Kemmer-Petiau equation
• Splitting frequency of the (2+1)-dimensional Duffin-Kemmer-Petiau oscillator in an external magnetic field
• The Epstein-Glaser causal approach to the Light-Front QED${}_4$. II: Vacuum Polarization tensor
• Quantum electrodynamics in the null-plane causal perturbation theory
• Comment on "Chern-Simons theory and atypical Hall conductivity in the Varma phase''