Two-dimensional gauge anomalies and p-adic numbers
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Peer-reviewed
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Abstract
jats:titleAjats:scbstract</jats:sc> </jats:title>jats:pWe 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 jats:italicp</jats:italic>-adics for every prime jats:italicp</jats:italic> and we use this to build an algorithm to find all solutions.</jats:p>
Description
Acknowledgements: We thank Michael Brownlie for collaboration at an early stage of the project. This work was partially supported by STFC consolidated grants ST/T000694/1 and ST/X000664/1 and a Trinity-Henry Barlow Scholarship.
Keywords
4902 Mathematical Physics, 5107 Particle and High Energy Physics, 49 Mathematical Sciences, 51 Physical Sciences
Journal Title
Journal of High Energy Physics
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Journal ISSN
1126-6708
1029-8479
1029-8479
Volume Title
2024
Publisher
Springer Science and Business Media LLC
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Sponsorship
STFC (ST/T000694/1)
Science and Technology Facilities Council (ST/X000664/1)
Science and Technology Facilities Council (ST/X000664/1)
This work was partially supported by STFC consolidated grants ST/T000694/1 and ST/X000664/1 and a Trinity-Henry Barlow Scholarship.