The trace identity and the planar Casimir effect

dc.creatorKamath, S. G.
dc.date2005-12-19
dc.date.accessioned2026-07-07T11:06:23Z
dc.date.available2026-07-07T11:06:23Z
dc.descriptionThe familiar trace identity associated with the scale transformation xxxx on the Lagrangian density for a noninteracting massive real scalar field in 2 + 1 dimensions is shown to be violated on a single plate on which the Dirichlet boundary condition xxxx is imposed.It is however respected in : i. 1 + 1 dimensions in both free space and on a single plate on which the Dirichlet boundary condition xxxx holds; and, ii. in 2 + 1 dimensions in free space, i.e. the unconstrained configuration.On the plate where xxxx, the modified trace identity is shown to be anomalous with a numerical coefficient for the anomalous term equal to the canonical scale dimension viz.1/2. The technique of Bordag,Robaschik and Wieczorek [5] is used to incorporate the said boundary condition into the generating functional for the connected Green's functions. Note: The xxxx in the abstract above refer to symbols that are available in the abstract of the paper.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0512225
dc.identifierhttp://arxiv.org/abs/hep-th/0512225
dc.identifierPramana66:325-344,2006
dc.identifierdoi:10.1007/BF02704388
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189505
dc.subjectHigh Energy Physics - Theory
dc.titleThe trace identity and the planar Casimir effect
dc.typetext

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