One-loop effective potential for scalar and vector fields on higher dimensional noncommutative flat manifolds

Details One-loop effective potential for scalar and vector fields on higher dimensional noncommutative flat manifolds One-loop effective potential for scalar and vector fields on higher dimensional noncommutative flat manifolds

2000-11-28

arxiv.org/abs/hep-th/0011252v2

Mod.Phys.Lett. A16 (2001) 1479-1486

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, Latex AMS style, typos corrected, numerical coefficients corrected, references added

Scientific paper

10.1142/S0217732301004765

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.

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