3-point off-shell vertex in scalar QED in arbitrary gauge and dimension

Abstract

We calculate the complete one-loop off-shell three-point scalar-photon vertex in arbitrary gauge and dimension for Scalar Quantum Electrodynamics. Explicit results are presented for the particular cases of dimensions 3 and 4 both for massive and massless scalars. We then propose non-perturbative forms of this vertex that coincide with the perturbative answer to order $e^2$.

arXiv commentUses axodraw

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Cited by in corpus (14)

• Quark-gluon Vertex: A Perturbation Theory Primer and Beyond
• Transverse Takahashi Identities and Their Implications for Gauge Independent Dynamical Chiral Symmetry Breaking
• Are the Dressed Gluon and Ghost Propagators in the Landau Gauge presently determined in the confinement regime of QCD?
• Multiphoton amplitudes and generalized LKF transformation in Scalar QED
• Chiral Symmetry Breaking and Confinement Beyond Rainbow-Ladder Truncation
• Effect of the Quark-Gluon Vertex on Dynamical Chiral Symmetry Breaking
• Batalin-Fradkin-Vilkovisky quantization of the generalized scalar electrodynamics
• A fresh look at the (non-)Abelian Landau-Khalatnikov-Fradkin transformations
• Constructing Scalar-Photon Three Point Vertex in Massless Quenched Scalar QED
• Landau-Khalatnikov-Fradkin Transformations, Nielsen Identities, Their Equivalence and Implications for QCD
• On the Compton scattering vertex for massive scalar QED
• The Generalised LKF Transformations for Arbitrary $N$-point Fermion Correlators
• Non-perturbative gauge transformations of arbitrary fermion correlation functions in quantum electrodynamics
• The anapole moment in scalar quantum electrodynamics