Construction of p-adic Covariant Quantum Fields in the Framework of White Noise Analysis
Mathematical Physics
2018-10-03 v1 math.MP
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.
Keywords
Cite
@article{arxiv.1810.01408,
title = {Construction of p-adic Covariant Quantum Fields in the Framework of White Noise Analysis},
author = {Edilberto Arroyo-Ortiz and W. A. Zúñiga-Galindo},
journal= {arXiv preprint arXiv:1810.01408},
year = {2018}
}