On How the Scalar Propagator Transforms Covariantly in Spinless Quantum Electrodynamics
Abstract
Gauge covariance properties of the scalar propagator in spinless/scalar quantum electrodynamics (SQED) are explored in the light of the corresponding Landau-Khalatnikov-Fradkin transformation (LKFT). These transformations are non perturbative in nature and describe how each Green function of the gauge theory changes under a variation of the gauge parameter. With a simple strategy, considering the scalar propagator at the tree level in Landau gauge, we derive a non perturbative expression for this propagator in an arbitrary covariant gauge and three as well as four space-time dimensions. Some relevant kinematical limits are discussed. Particularly, we compare our findings in the weak coupling regime with the direct one-loop calculation of the said propagator and observe perfect agreement up to an expected gauge independent term. We further notice that some of the coefficients of the all-order expansion for the propagator are fixed directly from the LKFT, a fact that makes this set of transformations appealing over ordinary perturbative calculations in gauge theories.
Cite
@article{arxiv.1312.7848,
title = {On How the Scalar Propagator Transforms Covariantly in Spinless Quantum Electrodynamics},
author = {Yajaira Concha Sánchez and Laura Xiomara Gutiérrez Guerrero and Victor M. Villanueva-Sandoval and Alfredo Raya},
journal= {arXiv preprint arXiv:1312.7848},
year = {2013}
}
Comments
23 pages, 1 figure