Investigations on Effective Electromagnetic and Gravitational Scenarios

TL;DR

This paper investigates electromagnetic and gravitational effective models in low-dimensional systems, analyzing quantum field theories, external field effects, particle interactions, and topological vortex solutions to understand complex interactions and energy bounds.

Contribution

It introduces novel low-dimensional effective models for electromagnetic and gravitational interactions, including non-minimal couplings, dimensional reductions, and vortex solutions with self-dual properties.

Findings

Electromagnetic interactions are affected by external fields and dimensional reduction.

Gravitational models reveal velocity and spin-dependent particle interactions.

Vortex solutions exhibit topological features and self-dual energy bounds.

Abstract

The work aims effective and low-dimensional systems. Some different contexts involving gravitational and electromagnetic interactions are investigated. The electromagnetic one approaches bosonic and fermionic Effective Quantum Field Theories non-minimally coupled in three spacetime dimensions submitted to the expansion of Foldy-Wouthuysen Transformation, what generates (non-)relativistic corrections. A study of the effects of an external electromagnetic field derived from the Maxwell-Chern-Simons Electrodynamics on the obtained interactions are executed, as well as the impact produced by the dimensional reduction on expanded higher dimensional fermionic system in comparison to the low-dimensional one. In the scenario of gravitational effective model, scalar and fermionic particle scatterings reveal inter-particles interactions beyond monopole-monopole, leading to velocity and spin contributions, and the results are compared to a modified Electrodynamics effective model. A non-perturbative model resourcing to Casual Dynamics Triangulation data is adopted to serve as consistency check of the potentials resultants. Low-dimensional Maxwell-Higgs effective models with modified kinetic terms are studied, submitting them to a Bogomol'nyi prescription-type for calculation of inferior (non-trivial) bound energy and the self-dual equations. Vortex solutions for gauge field non-specified by an ansatz are achieved and their topological feature detailed.