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dc.date.accessioned | 2021-09-10T12:49:14Z | |
dc.date.available | 2021-09-10T12:49:14Z | |
dc.date.issued | 2020 | |
dc.identifier.uri | http://sedici.unlp.edu.ar/handle/10915/124581 | |
dc.description.abstract | To motivate our discussion, we consider a 1+1 dimensional scalar field interacting with a static Coulomb-type background, so that the spectrum of quantum fluctuations is given by a second-order differential operator on a single coordinate r with a singular coefficient proportional to 1/r. We find that the spectral functions of this operator present an interesting behavior: the zeta function has multiple poles in the complex plane; accordingly, logarithms of the proper time appear in the heat-trace expansion. As a consequence, the ζ function does not provide a finite regularization of the effective action. This work extends similar results previously derived in the context of conical singularities. | en |
dc.language | en | es |
dc.subject | Scalar field | es |
dc.subject | Effective action | es |
dc.subject | Physics | es |
dc.subject | Gravitational singularity | es |
dc.subject | Operator (physics) | es |
dc.subject | Spectrum (functional analysis) | es |
dc.subject | Complex plane | es |
dc.subject | Riemann zeta function | es |
dc.subject | Mathematical physics | es |
dc.subject | Differential operator | es |
dc.subject | Regularization (physics) | es |
dc.subject | Proper time | es |
dc.title | A New Example of the Effects of a Singular Background on the Zeta Function | en |
dc.type | Articulo | es |
sedici.identifier.other | arXiv:2004.04004 | es |
sedici.identifier.other | doi:10.1088/1751-8121/abc12a | es |
sedici.identifier.issn | 1751-8113 | es |
sedici.identifier.issn | 1751-8121 | es |
sedici.creator.person | Falomir, Horacio Alberto | es |
sedici.creator.person | Liniado, Joaquín | es |
sedici.creator.person | González Pisani, Pablo Andrés | es |
sedici.subject.materias | Física | es |
sedici.description.fulltext | true | es |
mods.originInfo.place | Instituto de Física La Plata | es |
sedici.subtype | Preprint | es |
sedici.rights.license | Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) | |
sedici.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
sedici.description.peerReview | peer-review | es |
sedici.relation.journalTitle | Journal of Physics A: Mathematical and Theoretical | es |
sedici.relation.journalVolumeAndIssue | vol. 53, no. 46 | es |