ANTONIO PADILLA antonio.padilla@nottingham.ac.uk
Professor of Physics
Smoothed asymptotics: from number theory to QFT
Padilla, Antonio; Smith, Robert G C
Authors
Robert G C Smith
Abstract
Inspired by the method of smoothed asymptotics developed by Terence Tao, we introduce a new ultraviolet regularisation scheme for loop integrals in quantum field theory which we call η regularisation. This reveals a connection between the elimination of divergences in divergent series of powers and the preservation of gauge invariance in the regularisation of loop integrals in quantum field theory. In particular , we note that a method for regularising the series of natural numbers so that it converges to minus one twelfth inspires a regularisation scheme for non-abelian gauge theories coupled to Dirac fermions that preserves the Ward identity for the vacuum polarisation tensor and other higher point functions. We also comment on a possible connection to Schwinger proper time integrals.
Journal Article Type | Article |
---|---|
Acceptance Date | Jun 10, 2024 |
Deposit Date | Jun 20, 2024 |
Journal | Physical Review D |
Print ISSN | 2470-0010 |
Publisher | American Physical Society |
Peer Reviewed | Peer Reviewed |
Public URL | https://nottingham-repository.worktribe.com/output/36299977 |
This file is under embargo due to copyright reasons.
You might also like
CMB constraints on monodromy inflation at strong coupling
(2022)
Journal Article
Generalised scalar-tensor theories and self-tuning
(2022)
Journal Article
Quintessence and the Swampland: The Numerically Controlled Regime of Moduli Space
(2022)
Journal Article
A stringy perspective on the coincidence problem
(2021)
Journal Article
Downloadable Citations
About Repository@Nottingham
Administrator e-mail: discovery-access-systems@nottingham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search