Rigorous quantum field theory functional integrals over the p-adics: research announcement
Probability
2012-10-31 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Number Theory
Abstract
In this short note we announce the construction of scale invariant non-Gaussian generalized stochastic processes over three dimensional p-adic space. The construction includes that of the associated squared field and our result shows this squared field has a dynamically generated anomalous dimension which rigorously confirms a prediction made more than forty years ago, in an essentially identical situation, by Kenneth G. Wilson. We also prove a mild form of universality for the model under consideration.
Keywords
Cite
@article{arxiv.1210.7717,
title = {Rigorous quantum field theory functional integrals over the p-adics: research announcement},
author = {Abdelmalek Abdesselam and Ajay Chandra and Gianluca Guadagni},
journal= {arXiv preprint arXiv:1210.7717},
year = {2012}
}