Abstract
We investigated the effects of the global monopole spacetime on the Dirac and Klein–Gordon relativistic quantum oscillators. In order to do this, we solve the Dirac and Klein–Gordon equations analytically and discuss the influence of this background, which is characterised by the curvature of the spacetime, on the energy profiles of these oscillators. In addition, we introduce a hard-wall potential and, for a particular case, determine the energy spectrum for relativistic quantum oscillators in this background.
Highlights
Grand unified theories predict that, in the early universe, as consequence of vacuum symmetry breaking phase transitions, topological defects could be produced [1,2] and the influence of these objects have been vastly investigated in various branches of physics [3,4,5,6,7,8,9,10]
1 2 fermionic field that interacts with the Dirac oscillator (DO) in the spacetime with a pointlike global monopole defect; in the Sect. 3, we analyze a scalar field subject to the Klein–Gordon oscillator (KGO) in the spacetime with a pointlike global monopole defect and obtain the energy spectrum; in the Sect. 4, we extend our initial discussions to the presence of a hard-wall confining potential; and in the
We have investigated the influence of the global monopole in the DO and KGO relativistic quantum oscillators
Summary
Grand unified theories predict that, in the early universe, as consequence of vacuum symmetry breaking phase transitions, topological defects could be produced [1,2] and the influence of these objects have been vastly investigated in various branches of physics [3,4,5,6,7,8,9,10]. In the high energy context, the solution of Einstein equations that describes the global monopole spacetime can be associated with these pointlike defects in solids [60] This type of defect is defined by the distortion field of the medium and can be described by the Volterra process, where the vacancy in the continuous elastic medium can be imagined as follows: cut a sphere in half and remove its interior, and reduce the sphere within a point.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
