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Title: Compton scattering vertex for massive scalar QED

We investigate the Compton scattering vertex of charged scalars and photons in scalar quantum electrodynamics (SQED). We carry out its nonperturbative construction consistent with Ward-Fradkin-Green-Takahashi identity which relates 3-point vertices to the 4-point ones. There is an undetermined part which is transverse to one or both the external photons, and needs to be evaluated through perturbation theory. We present in detail how the transverse part at the 1-loop order can be evaluated for completely general kinematics of momenta involved in covariant gauges and dimensions. This involves the calculation of genuine 4-point functions with three massive propagators, the most nontrivial integrals reported in this paper. We also discuss possible applications of our results.
Authors:
;  [1] ;  [2] ;  [3]
  1. Instituto de Fisica y Matematicas, Universidad Michoacana de San Nicolas de Hidalgo, Apartado Postal 2-82, Morelia, Michoacan 58040 (Mexico)
  2. School of Mathematics and Physics, University of Tasmania, Private Bag 37 GPO, Hobart 7001 (Australia)
  3. Departamento de Fisica, Universidad de Sonora, Apartado Postal 1626, Hermosillo, Sonora 83000 (Mexico)
Publication Date:
OSTI Identifier:
21322503
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 80; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.80.045007; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COMPTON EFFECT; PERTURBATION THEORY; PHOTONS; PROPAGATOR; QUANTUM ELECTRODYNAMICS