Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


SIGMA 3 (2007), 093, 11 pages      arXiv:0708.4209      http://dx.doi.org/10.3842/SIGMA.2007.093
Contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson

Heat Trace Asymptotics on Noncommutative Spaces

Dmitri V. Vassilevich a, b
a) Instituto de Física, Universidade de São Paulo, Caixa Postal 66318 CEP 05315-970, São Paulo, S.P., Brazil
b) V.A. Fock Institute of Physics, St. Petersburg University, Russia

Received August 30, 2007; Published online September 25, 2007

Abstract
This is a mini-review of the heat kernel expansion for generalized Laplacians on various noncommutative spaces. Applications to the spectral action principle, renormalization of noncommutative theories and anomalies are also considered.

Key words: heat trace asymptotics; noncommutative field theory.

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