Van Eijk, Ernestus Petrus (2010) Covariant Holographic Renormalization of Non-Conformal Field Theories. [Tesi di dottorato] (Unpublished)

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Item Type: Tesi di dottorato
Uncontrolled Keywords: holography;ads/cft;renormalization
Date Deposited: 08 Dec 2010 16:57
Last Modified: 30 Apr 2014 19:46
URI: http://www.fedoa.unina.it/id/eprint/8410

Abstract

We present a Covariant Holographic Renormalization (CHR) procedure of fake supergravity (sugra) systems. Holography is a strong/weak coupling duality between gravitational and gauge theories, and fake sugra is a theory of gravity coupled to scalars in which the scalar potential can be derived from a superpotential in some specific way. Other systematic methods of holographic renormalization of fake sugra exist, but they are all restricted to spacetimes that are asymptotically anti-de Sitter (aAdS). According to the AdS/CFT correspondence, their dual quantum field theories are conformal in the ultraviolet. Covariant Holographic Renormalization can be applied to fake sugra systems in both aAdS and non-aAdS backgrounds. The field theories dual to non-aAdS sugra systems are non-conformal. So far, the method is limited to the renormalization of two-point functions. The CHR procedure shows that the divergences from the bare fake sugra action can be cancelled by covariant counterterms without introducing new divergences.

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