One-loop effective potential for scalar and vector fields on higher dimensional noncommutative flat manifolds
High Energy Physics - Theory
2009-10-31 v2
Abstract
The effective potentials for massless scalar and vector quantum field theories on D dimensional manifolds with p compact noncommutative extra dimensions are evaluated by means of dimensional regularization implemented by zeta function techniques. It is found that the zeta function associated with the one-loop operator may not be regular at the origin. Thus, the related heat-kernel trace has a logarithmic term in the short t asymptotics expansion. Consequences of this fact are briefly discussed.
Keywords
Cite
@article{arxiv.hep-th/0011252,
title = {One-loop effective potential for scalar and vector fields on higher dimensional noncommutative flat manifolds},
author = {A. A Bytsenko and A. E. Goncalves and S. Zerbini},
journal= {arXiv preprint arXiv:hep-th/0011252},
year = {2009}
}
Comments
9 pages, Latex AMS style, typos corrected, numerical coefficients corrected, references added