Construction of p-adic Covariant Quantum Fields in the Framework of White Noise Analysis

2018/10/02 by Arroyo-Ortiz, Edilberto, Zúñiga-Galindo, W. A.
#46S10 #81E05 #FOS: Physical sciences #Mathematical Physics (math-ph) #Primary 60H40 #Secondary 11Q25

paper · doi:10.48550/arxiv.1810.01408

Abstract

In this article we construct a large class of interacting Euclidean quantum field theories, over a p-adic space time, by using white noise calculus. We introduce p-adic versions of the Kondratiev and Hida spaces in order to use the Wick calculus on the Kondratiev spaces. The quantum fields introduced here fulfill all the Osterwalder-Schrader axioms, except the reflection positivity.

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