Heat kernel, effective action and anomalies in noncommutative theories

Details Heat kernel, effective action and anomalies in noncommutative theories Heat kernel, effective action and anomalies in noncommutative theories

2005-07-13

arxiv.org/abs/hep-th/0507123v2

JHEP 0508 (2005) 085

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, v2: references added

Scientific paper

10.1088/1126-6708/2005/08/085

Being motivated by physical applications (as the phi^4 model) we calculate the heat kernel coefficients for generalised Laplacians on the Moyal plane containing both left and right multiplications. We found both star-local and star-nonlocal terms. By using these results we calculate the large mass and strong noncommutativity expansion of the effective action and of the vacuum energy. We also study the axial anomaly in the models with gauge fields acting on fermions from the left and from the right.

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