Quantum Effective Action in Spacetimes with Branes and Boundaries: Diffeomorphism Invariance

dc.creatorBarvinsky, A. O.
dc.date2006-08-01
dc.date.accessioned2026-07-07T11:06:58Z
dc.date.available2026-07-07T11:06:58Z
dc.descriptionWe construct a gauge-fixing procedure in the path integral for gravitational models with branes and boundaries. This procedure incorporates a set of gauge conditions which gauge away effectively decoupled diffeomorphisms acting in the $(d+1)$-dimensional bulk and on the $d$-dimensional brane. The corresponding gauge-fixing factor in the path integral factorizes as a product of the bulk and brane (surface-theory) factors. This factorization underlies a special bulk wavefunction representation of the brane effective action. We develop the semiclassical expansion for this action and explicitly derive it in the one-loop approximation. The one-loop brane effective action can be decomposed into the sum of the gauge-fixed bulk contribution and the contribution of the pseudodifferential operator of the brane-to-brane propagation of quantum gravitational perturbations. The gauge dependence of these contributions is analyzed by the method of Ward identities. By the recently suggested method of the Neumann-Dirichlet reduction the bulk propagator in the semiclassical expansion is converted to the Dirichlet boundary conditions preferable from the calculational viewpoint.
dc.description37 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-th/0608004
dc.identifierhttp://arxiv.org/abs/hep-th/0608004
dc.identifierPhys.Rev.D74:084033,2006
dc.identifierdoi:10.1103/PhysRevD.74.084033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189695
dc.subjectHigh Energy Physics - Theory
dc.titleQuantum Effective Action in Spacetimes with Branes and Boundaries: Diffeomorphism Invariance
dc.typetext

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