Bosonic interactions in a nonlocal theory in (2+1) dimensions
High Energy Physics - Theory
2019-10-23 v3 Strongly Correlated Electrons
Abstract
Pseudo-Quantum Electrodynamics (PQED) provides an excellent description of the interaction between charged particles confined to a plane. When we couple pseudo-gauge field with a bosonic matter field, we obtain the so-called Scalar Pseudo-Quantum Electrodynamics (SPQED). In this work, we make a perturbative analysis of SPQED via Feynman diagrams. We compute the one loop Green functions: bosonic field self-energy, electromagnetic field self-energy, and vertex corrections. Finally, we consider the non-relativistic interaction potential between two bosonic particles. We compute the radiative corrections to the usual Coulomb potential and comment on the analogies and the differences with the fermionic case.
Keywords
Cite
@article{arxiv.1906.08334,
title = {Bosonic interactions in a nonlocal theory in (2+1) dimensions},
author = {Ygor Pará and Van Sérgio Alves and Tommaso Macrì and E. C. Marino and Leandro O. Nascimento},
journal= {arXiv preprint arXiv:1906.08334},
year = {2019}
}