Non-commutative heat kernel
Vassilevich, D. V.
arXiv, 0310144 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-10-15
Classification:  High Energy Physics - Theory,  Mathematical Physics 
@article{0310144,
     author = {Vassilevich, D. V.},
     title = {Non-commutative heat kernel},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0310144}
}

Vassilevich, D. V. Non-commutative heat kernel. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0310144/