Bosonic quantum dynamics in Eddington-inspired Born–Infeld gravity global monopole spacetime

• Published in: The European physical journal. C, Particles and fields Vol. 83; no. 4; pp. 270 - 9
• Main Authors: Pereira, C. F. S., Soares, A. R., Vitória, R. L. L., Belich, H.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2023; Springer; Springer Nature B.V; SpringerOpen
• Subjects: Analysis; Astronomy; Astrophysics and Cosmology; Boson fields; Charged particles; Cosmology; Elementary Particles; Geometry; Gravity; Hadrons; Heavy Ions; Measurement Science and Instrumentation; Monopoles; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum theory; Regular Article - Theoretical Physics; Relativistic effects; Relativity; Spacetime; String Theory
• ISSN: 1434-6052; 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-023-11403-3

We have investigated the relativistic quantum dynamics of a bosonic field in Born–Infeld spacetime with a topological charge by characterizing the global monopole. Firstly, we have analyzed a free bosonic field, by definition, is free in this non-trivial geometry. Due to the effects of the geometry, in fact, the spin-0 boson is confined, of which it is possible to obtain solutions of bound states. Then, in order to generalize the system, we introduce the interaction of the relativistic oscillator and, analytically, we obtain the relativistic energy profile of the system.