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The holographic renormalization group (RG) is reviewed in a self-contained manner. The holographic RG is based on the idea that the radial coordinate of a space-time with asymptotically AdS geometry can be identified with the RG flow…

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

In this paper, we revisit scalar field theories in $d$ space-time dimensions possessing $U(N)$ global symmetry. Following our recent work arXiv:1402.1430v2, we consider the generating function of correlation functions of all…

High Energy Physics - Theory · Physics 2015-01-07 Robert G. Leigh , Onkar Parrikar , Alexander B. Weiss

We propose a local renormalization group procedure where length scale is changed in spacetime dependent way. Combining this scheme with an earlier observation that high energy modes in renormalization group play the role of dynamical…

High Energy Physics - Theory · Physics 2012-11-02 Sung-Sik Lee

We study the holographic renormalization group (RG) flow in the presence of higher-order curvature corrections to the $(d+1)$-dimensional Einstein-Hilbert (EH) action for an arbitrary interacting scalar matter field by using the…

High Energy Physics - Theory · Physics 2021-12-30 Ahmad Ghodsi , Malihe Siahvoshan

From the Wilsonian point of view, renormalisable theories are understood as submanifolds in theory space emanating from a particular fixed point under renormalisation group evolution. We show how this picture precisely applies to their…

High Energy Physics - Theory · Physics 2016-05-04 J. M. Lizana , T. R. Morris , M. Perez-Victoria

We consider the Wilson-Polchinski exact renormalization group applied to the generating functional of single-trace operators at a free-fixed point in $d=2+1$ dimensions. By exploiting the rich symmetry structure of free field theory, we…

High Energy Physics - Theory · Physics 2014-06-11 Robert G. Leigh , Onkar Parrikar , Alexander B. Weiss

We investigate how the holographic correspondence can be reformulated as a generalisation of Wilsonian RG flow in a strongly interacting large $N$ quantum field theory. We firstly define a \textit{highly efficient RG flow} as one in which…

High Energy Physics - Theory · Physics 2016-07-08 Nicolas Behr , Stanislav Kuperstein , Ayan Mukhopadhyay

Holography has provided valuable insights into the time evolution of strongly coupled gauge theories in a fixed spacetime. However, this framework is insufficient if this spacetime is dynamical. We present a scheme to evolve a…

High Energy Physics - Theory · Physics 2022-03-30 Christian Ecker , Wilke van der Schee , David Mateos , Jorge Casalderrey-Solana

In hep-th/0311177, the Large $N$ renormalization group (RG) flows of a modified matrix quantum mechanics on a circle, capable of capturing effects of nonsingets, were shown to have fixed points with negative specific heat. The corresponding…

High Energy Physics - Theory · Physics 2008-11-26 Satabhisa Dasgupta , Tathagata Dasgupta

We investigate the holographic Renormalization Group (RG) flows and the critical phenomena that take place in the $QFT$'s dual to the d-dimensional cubic Quasi-Topological Gravity coupled to scalar matter. The knowledge of the corresponding…

High Energy Physics - Theory · Physics 2012-07-10 G. M. Sotkov , U. Camara dS

Among the so-called classical tests of general relativity (GR), light bending has been confirmed with an accuracy that increases as times goes by. Here we study the gravitational deflection of photons within the framework of classical and…

High Energy Physics - Theory · Physics 2015-06-11 Antonio Accioly , José Helayël-Neto , Breno Giacchini , Wallace Herdy

An attempt is made to make precise the connection between Wilson's RG and "Holographic RG" by writing Wilson's RG in a holographic form. A functional formulation is given for the exact RG evolution of a scalar field in $d$ (flat)…

High Energy Physics - Theory · Physics 2018-03-14 B. Sathiapalan , Hidenori Sonoda

We continue developing the freelance holography program, formulating gauge/gravity correspondence where the gravity side is formulated on a space bounded by a generic timelike codimension-one surface inside AdS and arbitrary boundary…

High Energy Physics - Theory · Physics 2025-11-05 A. Parvizi , M. M. Sheikh-Jabbari , V. Taghiloo

We investigate Cauchy Slice Holography in de Sitter spacetime. By performing a $T^2$ deformation of a (bottom-up) dS/CFT model, we obtain a holographic theory living on flat Cauchy slices of de Sitter, for which time is an emergent…

High Energy Physics - Theory · Physics 2026-01-28 Goncalo Araujo-Regado , Ayngaran Thavanesan , Aron C. Wall

Bilocal holography provides a constructive approach to the higher-spin gravity theories dual to vector-model conformal field theories. Its central advantage is that it is completely gauge fixed and formulated entirely in terms of physical…

High Energy Physics - Theory · Physics 2026-05-01 Robert de Mello Koch , Animik Ghosh , Minkyoo Kim , Anik Rudra

Bilocal holography provides a constructive approach to the vector model/higher spin gravity duality. It has two ingredients: a change of field variables and a change of space time coordinates. The change of field variables ensures that the…

High Energy Physics - Theory · Physics 2024-06-12 Robert de Mello Koch , Garreth Kemp , Hendrik J. R. Van Zyl

The gauge/string dualities have drawn attention to a class of variational problems on a boundary at infinity, which are not well defined unless a certain boundary term is added to the classical action. In the context of supergravity in…

High Energy Physics - Theory · Physics 2011-03-17 Ioannis Papadimitriou

Holographic duality conjecture has been proposed to be a novel non-perturbative theoretical framework for the description of strongly correlated electrons. However, the duality transformation is not specified to cause ambiguity in the…

Strongly Correlated Electrons · Physics 2020-09-08 Ki-Seok Kim

In order to explore some general features of modified theories of gravity which involve higher derivatives and spontaneous Lorentz and/or diffeomorphism symmetry breaking, we study the recently proposed new version of covariant…

General Relativity and Quantum Cosmology · Physics 2013-04-16 Masud Chaichian , Josef Klusoň , Markku Oksanen , Anca Tureanu

Higher derivative theory is one of the important models of quantum gravity, renormalizable and asymptotically free within the standard perturbative approach. We consider the $4-\epsilon$ renormalization group for this theory, an approach…

High Energy Physics - Theory · Physics 2011-08-17 Guilherme de Berredo-Peixoto , Ilya L. Shapiro
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