On the matching method and the Goldstone theorem in holography

Abstract

We study the transition of a scalar field in a fixed $Ad{S}_{d+1}$ background between an extremum and a minimum of a potential. We compute analytically the solution to the perturbation equation for the vev deformation case by generalizing the usual matching method to higher orders and find the propagator of the boundary theory operator defined through the AdS-CFT correspondence. We show that, contrary to what happens at the leading order of the matching method, the next-to-leading order presents a simple pole at $q^2=0$ in accordance with the Goldstone theorem applied to a spontaneously broken dilatation invariance.

16 pages, 1 figure, published version

References in corpus (3)

• Holographic c-theorems in arbitrary dimensions
• Glueballs vs. Gluinoballs: Fluctuation Spectra in Non-AdS/Non-CFT
• The a-theorem and conformal symmetry breaking in holographic RG flows

Cited by in corpus (13)

• Naturally light dilatons from nearly marginal deformations
• A holographic perspective on phonons and pseudo-phonons
• The holographic dilaton
• Scale invariant solids
• Holographic RG flows, entanglement entropy and the sum rule
• An Effective Theory for Holographic RG Flows
• Anatomy of new SUSY breaking holographic RG flows
• Conformal symmetry breaking in holographic QCD
• On the dual flow of slow-roll Inflation
• Gapped dilatons in scale invariant superfluids
• Safe Hologram
• Holography and Conformal Anomaly Matching
• On Effective Actions from Holography