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Holographic Renormalization and Ward Identities with the Hamilton-Jacobi Method

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arxiv hep-th/0205061 v2 pith:DD3RKIHW submitted 2002-05-07 hep-th

Holographic Renormalization and Ward Identities with the Hamilton-Jacobi Method

Dario Martelli , Wolfgang Mueck This is my paper
classification hep-th
keywords theoryfieldholographicmethodbulkdivergencesgaugehamilton-jacobi
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A 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.

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Cited by 2 Pith papers

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