Heat kernel , effective action and anomalies in noncommutative theories

@inproceedings{Vassilevich2005HeatK,
  title={Heat kernel , effective action and anomalies in noncommutative theories},
  author={Dmitri V. Vassilevich},
  year={2005}
}
  • Dmitri V. Vassilevich
  • Published 2005
Being motivated by physical applications (as the φ4 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… CONTINUE READING