Abstract

We show how methods of number theory can be used to study anomalies in gauge quantum field theories in spacetime dimension two. To wit, the anomaly cancellation conditions for the abelian part of the local anomaly admit solutions if and only if they admit solutions in the reals and in the p-adics for every prime p and we use this to build an algorithm to find all solutions.

Details

Title
Two-dimensional gauge anomalies and p-adic numbers
Author
Camp, Imogen 1   VIAFID ORCID Logo  ; Gripaios, Ben 2   VIAFID ORCID Logo  ; Le Nguyen Nguyen, Khoi 3   VIAFID ORCID Logo 

1  Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Parks Road, OX1 3PU, Oxford, United Kingdom (ROR: https://ror.org/052gg0110) (GRID: grid.4991.5) (ISNI: 0000 0004 1936 8948) 
2  Cavendish Laboratory, University of Cambridge, J.J. Thomson Avenue, CB3 0HE, Cambridge, United Kingdom (ROR: https://ror.org/013meh722) (GRID: grid.5335.0) (ISNI: 0000 0001 2188 5934) 
3  DAMTP, University of Cambridge, Wilberforce Road, CB3 0WA, Cambridge, United Kingdom (ROR: https://ror.org/013meh722) (GRID: grid.5335.0) (ISNI: 0000 0001 2188 5934) 
Pages
202
Section
Regular Article - Theoretical Physics
Publication year
2024
Publication date
Jun 2024
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1007/JHEP06(2024)202
ProQuest document ID
3072928675
Copyright
© The Author(s) 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the "License"). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.