Non-commutative heat kernel
arXiv:hep-th/0310144 · doi:10.1023/B:MATH.0000035037.50663.b1
Abstract
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.
10 pp; v2: math improved, references added, to be published in LMP