Explicit Zeta Functions for Bosonic and Fermionic Fields on a Noncommutative Toroidal Spacetime
| dc.creator | Elizalde, E. | |
| dc.date | 2000-12-18 | |
| dc.date | 2001-05-15 | |
| dc.date.accessioned | 2026-07-07T10:53:29Z | |
| dc.date.available | 2026-07-07T10:53:29Z | |
| dc.description | Explicit formulas for the zeta functions $ζ_α(s)$ corresponding to bosonic ($α=2$) and to fermionic ($α=3$) quantum fields living on a noncommutative, partially toroidal spacetime are derived. Formulas for the most general case of the zeta function associated to a quadratic+linear+constant form (in {\bf Z}) are obtained. They provide the analytical continuation of the zeta functions in question to the whole complex $s-$plane, in terms of series of Bessel functions (of fast, exponential convergence), thus being extended Chowla-Selberg formulas. As well known, this is the most convenient expression that can be found for the analytical continuation of a zeta function, in particular, the residua of the poles and their finite parts are explicitly given there. An important novelty is the fact that 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), where they had never appeared before. This poses a challenge to the zeta-function regularization procedure. | |
| dc.description | 15 pages, no figures, LaTeX file | |
| dc.identifier | https://arxiv.org/abs/hep-th/0012154 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0012154 | |
| dc.identifier | J.Phys.A34:3025-3036,2001 | |
| dc.identifier | doi:10.1088/0305-4470/34/14/309 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/185499 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | Spectral Theory | |
| dc.title | Explicit Zeta Functions for Bosonic and Fermionic Fields on a Noncommutative Toroidal Spacetime | |
| dc.type | text |