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We find the Holographic Renormalization Group equations for the holographic duals of generic gravity theories coupled to form fields and spin-1/2 fermions. Using Hamilton-Jacobi theory we discuss the structure of Ward identities, anomalies,…

High Energy Physics - Theory · Physics 2009-10-31 Jussi Kalkkinen , Dario Martelli

We discuss dilatonic gravity (bulk theory) from the point of view of (generalized) AdS/CFT correspondence. Self-consistent dilatonic background is considered. It may be understood as two boundaries space where AdS boundary appears as…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

The AdS/CFT correspondence is a realization of the holographic principle in the context of string theory. It is a map between a quantum field theory and a string theory living in one or more extra dimensions. Holography provides new tools…

High Energy Physics - Theory · Physics 2015-01-20 N. Angelinos

The AdS/QCD models are known to be tightly related with the QCD sum rules in the large-Nc (called also planar) limit. Rewriting the theory of infinite tower of free stable mesons expected in the large-Nc QCD as a five-dimensional theory we…

High Energy Physics - Phenomenology · Physics 2011-01-27 S. S. Afonin

The Hartle-Hawking wave function in cosmology can be viewed as a decaying wave function with anti-de Sitter (AdS) boundary conditions. We show that the growing wave function in AdS familiar from Euclidean AdS/CFT is equivalent,…

High Energy Physics - Theory · Physics 2015-12-17 Gabriele Conti , Thomas Hertog , Ellen van der Woerd

We find a geometrical description from a field theoretical setup based on Wilson's renormalization group in real space. We show that renormalization group equations of coupling parameters encode the metric structure of an emergent curved…

High Energy Physics - Theory · Physics 2016-06-29 Ki-Seok Kim , Chanyong Park

Classical higher-derivative gravity is investigated in the context of the holographic renormalization group (RG). We parametrize the Euclidean time such that one step of time evolution in (d+1)-dimensional bulk gravity can be directly…

High Energy Physics - Theory · Physics 2009-11-07 Masafumi Fukuma , So Matsuura

We have studied a mathematical relationship between holographic Wilsonian renormalization group(HWRG) and stochastic quantization(SQ) of scalar field with arbitrary mass in AdS spacetime. In the stochastic theory, the field is described by…

High Energy Physics - Theory · Physics 2016-11-30 Jae-hyuk Oh

We study the $q\bar{q}$ potential in strongly coupled non-conformal field theories with a non-trivial renormalization group flow via holography. We focus on the properties of this potential at an inter-quark separation $L$ large compared to…

High Energy Physics - Theory · Physics 2019-05-22 Jorge Casalderrey-Solana , Diego Gutiez , Carlos Hoyos

We show that truncating the exact renormalization group equations of free $U(N)$ vector models in the single-trace sector to the linearized level reproduces the Fronsdal equations on $AdS_{d+1}$ for all higher spin fields, with the correct…

High Energy Physics - Theory · Physics 2015-06-12 Kewang Jin , Robert G. Leigh , Onkar Parrikar

We study a non-relativistic limit of physics in AdS which retains the curvature through a harmonic Newtonian potential. This limit appears in a CFT dual through the spectrum of operators of large dimension and correlation functions of those…

High Energy Physics - Theory · Physics 2022-11-30 Henry Maxfield , Zahra Zahraee

Recently a new picture has been developed for examining Wilson lines, and the corresponding anomalous dimensions which govern their renormalization properties. By making a particular coordinate transform, the calculation of the cusp…

High Energy Physics - Theory · Physics 2012-05-29 D. J. Miller , C. D. White

In semiclassical holographic duality, the running couplings of a field theory are conventionally identified with the classical solutions of field equations in the dual gravitational theory. However, this identification is unclear when the…

High Energy Physics - Theory · Physics 2015-06-12 Vijay Balasubramanian , Monica Guica , Albion Lawrence

Central to the AdS/CFT correspondence is a precise relationship between the curvature of an anti-de Sitter (AdS) spacetime and the central charge of the dual conformal field theory (CFT) on its boundary. Our work shows that such a…

High Energy Physics - Theory · Physics 2020-12-07 Alexander Jahn , Zoltán Zimborás , Jens Eisert

We investigate black hole formation by a spherically collapsing thin shell of matter in AdS space. This process has been suggested to have a holographic interpretation as thermalization of the CFT on the boundary of the AdS space. The…

High Energy Physics - Theory · Physics 2009-10-31 Ulf H. Danielsson , Esko Keski-Vakkuri , Martin Kruczenski

We consider a free complex massive scalar on the quotient spacetime AdS$_3/\mathbb{Z}$, which has the isometry group SO(2,2) rather than its universal cover. This problem is of interest as a special example of QFT on a spacetime with closed…

High Energy Physics - Theory · Physics 2025-10-20 Walker Melton , Andrew Strominger , Tianli Wang

We develop the representation of interacting bulk gauge fields and charged scalar matter in AdS in terms of non-local observables in the dual CFT. We work in holographic gauge in the bulk, A_z = 0. The correct statement of micro-causality…

High Energy Physics - Theory · Physics 2013-04-17 Daniel Kabat , Gilad Lifschytz

What is the dimension of spacetime? We address this question in the context of the AdS/CFT Correspondence. We give a prescription for computing the number of large bulk dimensions, $D$, from strongly-coupled CFT$_d$ data, where "large"…

High Energy Physics - Theory · Physics 2019-11-14 Luis F. Alday , Eric Perlmutter

In a four-dimensional $\mathcal{N}=2$ superconformal quiver theory with gauge group $\mathrm{SU}(N)\times\mathrm{SU}(N)$ and bi-fundamental matter, we analytically obtain the exact strong-coupling behavior of the normalized 3-point…

High Energy Physics - Theory · Physics 2022-07-21 M. Billo , M. Frau , A. Lerda , A. Pini , P. Vallarino

We write new functional renormalization group equations for a scalar nonminimally coupled to gravity. Thanks to the choice of the parametrization and of the gauge fixing they are simpler than older equations and avoid some of the…

High Energy Physics - Theory · Physics 2015-05-20 Roberto Percacci , Gian Paolo Vacca