Spectral Zeta Functions in Non-Commutative Spacetimes
نویسنده
چکیده
Formulas for the most general case of the zeta function associated to a quadratic+linear+constant form (in Z) are given. As examples, the spectral zeta functions ζα(s) corresponding to bosonic (α = 2) and to fermionic (α = 3) quantum fields living on a noncommutative, partially toroidal spacetime are investigated. Simple poles show up at s = 0, as well as in other places (simple or double, depending on the number of compactified, noncompactified, and noncommutative dimensions of the spacetime). This poses a challenge to the zeta-function regularization procedure.
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تاریخ انتشار 2001