Holographic Renormalization and Ward Identities with the Hamilton-Jacobi Method

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dc.creatorMartelli, Dario
dc.creatorMueck, Wolfgang
dc.date2002-05-07
dc.date2003-02-03
dc.date.accessioned2026-07-07T11:10:04Z
dc.date.available2026-07-07T11:10:04Z
dc.descriptionA systematic procedure for performing holographic renormalization, which makes use of the Hamilton-Jacobi method, is proposed and applied to a bulk theory of gravity interacting with a scalar field and a U(1) gauge field in the Stueckelberg formalism. We describe how the power divergences are obtained as solutions of a set of "descent equations" stemming from the radial Hamiltonian constraint of the theory. In addition, we isolate the logarithmic divergences, which are closely related to anomalies. The method allows to determine also the exact one-point functions of the dual field theory. Using the other Hamiltonian constraints of the bulk theory, we derive the Ward identities for diffeomorphisms and gauge invariance. In particular, we demonstrate the breaking of U(1)_R current conservation, recovering the holographic chiral anomaly recently discussed in hep-th/0112119 and hep-th/0202056.
dc.description31 pages; v2: references added. Version published in Nuclear Physics B
dc.identifierhttps://arxiv.org/abs/hep-th/0205061
dc.identifierhttp://arxiv.org/abs/hep-th/0205061
dc.identifierNucl.Phys.B654:248-276,2003
dc.identifierdoi:10.1016/S0550-3213(03)00060-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190679
dc.subjectHigh Energy Physics - Theory
dc.titleHolographic Renormalization and Ward Identities with the Hamilton-Jacobi Method
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