School of Mathematical and Statistical Sciences Faculty Publications and Presentations

Document Type

Article

Publication Date

5-30-2022

Abstract

We construct in a rigorous mathematical way interacting quantum field theories on a p-adic spacetime. The main result is the construction of a measure on a function space which allows a rigorous definition of the partition function. The advantage of the approach presented here is that all the perturbation calculations can be carried out in the standard way using functional derivatives, but in a mathematically rigorous way.

Comments

© 2022 World Scientific Publishing Co Pte Ltd. Original published version available at https://doi.org/10.1142/S0129055X22500222

Publication Title

Reviews in Mathematical Physics

DOI

10.1142/S0129055X22500222

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Mathematics Commons

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