2013/12/30 by Y. Concha-Sánchez, Yajaira Concha Sánchez, Sánchez, Yajaira Concha +6
Engineering · Mathematics · Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #Gauge boson #Gauge fixing #Gauge theory #Hamiltonian lattice gauge theory #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Introduction to gauge theory #Mathematical physics #Mathematics #Particle Accelerators and Free-Electron Lasers #Physics #Propagator #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.1312.7848
23 pages, 1 figure
arxiv created 2013/12/30 · openalex publication_date 2013/12/30 · arxiv updated 2013/12/31 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
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.