A Mode Sum Regularization Prescription in Quantum Field Theory in Curved Spacetimes in Higher Dimensions and for Charged Scalar Fields

Authors

Eoin Scanlon, Technological University DublinFollow

Files

Publisher

Technological University Dublin

Description

Semi-classical gravity combines classical treatment of the gravitational field with quantum mechanical treatment of matter fields. A significant challenge however is the divergence contained within the stress-energy tensor when solving the semi-classical Einstein equations. This work extends to higher dimensions an extremely efficient method for renormalizing the stress-energy tensor of a quantum scalar field in spherically-symmetric black hole spacetimes, thereby removing the divergences. The method applies to a scalar field with arbitrary field parameters. The utility of the method is demonstrated by computing the renormalized stress-energy tensor for a scalar field in the Schwarzschild black hole spacetime for odd dimensions.

Publication Date

2023

Keywords

Higher dimensional field theories, Quantum aspects of black holes, Quantum field theory, Quantum fields in curved spacetime, Quantum gravity, Renormalization

Disciplines

Computer Sciences | Mathematics

Supervisors

Dr Cormac Breen, Dr Peter Taylor

Conference

First Annual Teaching and Research Showcase 2023

DOI

https://doi.org/10.21427/PRD5-XX20

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.

Recommended Citation

Scanlon, E. (2023). A Mode Sum Regularization Prescription in Quantum Field Theory in Curved Spacetimes in Higher Dimensions and for Charged Scalar Fields. Technological University Dublin. DOI: 10.21427/PRD5-XX20