Non-commutative heat kernel

Details Non-commutative heat kernel Non-commutative heat kernel

2003-10-15

arxiv.org/abs/hep-th/0310144v2

Lett.Math.Phys. 67 (2004) 185-194

Physics

High Energy Physics

High Energy Physics - Theory

10 pp; v2: math improved, references added, to be published in LMP

Scientific paper

10.1023/B:MATH.0000035037.50663.

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.

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