The delta(0) Singularity in the Warped Mirabelli-Peskin Model

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dc.creatorIchinose, S.
dc.creatorMurayama, A.
dc.date2006-06-18
dc.date2006-06-21
dc.date.accessioned2026-07-07T07:13:40Z
dc.date.available2026-07-07T07:13:40Z
dc.descriptionThe Mirabelli-Peskin model is a 5D super-Yang-Mills theory compactified on an orbifold $S^1/Z_2$ with the 4D Wess-Zumino model localized on the boundaries (or branes). As the 5D gauge multiplet couples to 4D chiral multiplets through delta functions, the model contains singular terms proportional to $δ(0)$ after integrating out a 5D auxiliary field. This belongs to the same type of singularity as what was first noticed by Horava in the orbifold compactification of heterotic string theory. Mirabelli-Peskin showed that this singularity was field-theoretically harmless by demonstrating its neat cancellation by the singularity produced by the infinite sum of Kaluza-Klein (KK) excitation modes of bulk propagator. In this paper, the similar cancellation is proved to occur also in a warped version of Mirabelli-Peskin model with the background of ${AdS}_5$. The bulk propagator of scalar component of 5D vector supermultiplet in the warped extra dimension is explicitly KK expanded. Then, its second derivatives by the coordinates of $S^1/Z_2$ generate a term proportional to $δ(0)$ at the boundaries. The cancellation is considered to take place perturbatively to all orders of coupling constants as well as to all loops.
dc.description14 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/hep-th/0606167
dc.identifierhttp://arxiv.org/abs/hep-th/0606167
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112554
dc.subjectHigh Energy Physics - Theory
dc.titleThe delta(0) Singularity in the Warped Mirabelli-Peskin Model
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