On the ultraviolet behaviour of quantum fields over noncommutative manifolds
High Energy Physics - Theory
2009-10-31 v2 Operator Algebras
Abstract
By exploiting the relation between Fredholm modules and the Segal-Shale-Stinespring version of canonical quantization, and taking as starting point the first-quantized fields described by Connes' axioms for noncommutative spin geometries, a Hamiltonian framework for fermion quantum fields over noncommutative manifolds is introduced. We analyze the ultraviolet behaviour of second-quantized fields over noncommutative 3-tori, and discuss what behaviour should be expected on other noncommutative spin manifolds.
Keywords
Cite
@article{arxiv.hep-th/9804001,
title = {On the ultraviolet behaviour of quantum fields over noncommutative manifolds},
author = {Joseph C. Varilly and Jose M. Gracia-Bondia},
journal= {arXiv preprint arXiv:hep-th/9804001},
year = {2009}
}
Comments
10 pages, RevTeX version, a few references added