Non-commutative heat kernel
高能物理 - 理论
2009-11-10 v2 数学物理
math.MP
摘要
We consider a natural generalisation of the Laplace type operators for the case of non-commutative (Moyal star) product. We demonstrate existence of a power law asymptotic expansion for the heat kernel of such operators on T^n. First four coefficients of this expansion are calculated explicitly. We also find an analog of the UV/IR mixing phenomenon when analysing the localised heat kernel.
引用
@article{arxiv.hep-th/0310144,
title = {Non-commutative heat kernel},
author = {D. V. Vassilevich},
journal= {arXiv preprint arXiv:hep-th/0310144},
year = {2009}
}
备注
10 pp; v2: math improved, references added, to be published in LMP