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We construct an emergent holographic dual description in the Luttinger-Ward functional approach, where the renormalization group (RG) flows of collective bi-local fields appear manifestly in the bulk effective action with an emergent extra…

High Energy Physics - Theory · Physics 2024-09-10 Yoon-Seok Choun , Hyeon Jung Kim , Ki-Seok Kim

We propose a new method for computing the renormalization functions, which is based on the ideas of operator product expansion and large momentum expansion. In this method, the renormalization $Z$-factors are determined by the ultraviolet…

High Energy Physics - Theory · Physics 2025-05-08 Rijun Huang , Qingjun Jin , Yi Li

Holographic model of massive scalar field with its self-interaction $\lambda\phi^n$ in AdS space is able to give a logarithmic scale dependence to marginal multi trace deformation couplings on its dual conformal field theory, where…

High Energy Physics - Theory · Physics 2022-01-05 Gitae Kim , Jae-Hyuk Oh

Holographic Renormalization Group (RG) in nine dimensions is considered. The d8 holographic conformal anomaly is found. It should correspond to d8 CFT in AdS_9/CFT_8 correspondence. The comparison of holographic and QFT anomalies in d8 de…

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

An application of the exact renormalization group equations to the scalar field theory in three dimensional euclidean space is discussed. We show how to modify the original formulation by J. Polchinski in order to find the Wilson-Fisher…

High Energy Physics - Theory · Physics 2007-05-23 Hidenori Sonoda

The Wilsonian renormalization group (RG) requires Euclidean signature. The conformal factor of the metric then has a wrong-sign kinetic term, which has a profound effect on its RG properties. Generically for the conformal sector, complete…

High Energy Physics - Theory · Physics 2018-08-10 Tim R. Morris

Generalized Effective Field Theory (GEFT) is the non-renormalizable extension of an Effective Field Theory where the Wilson coefficients are endowed by their own, independent scale dependence. Such an effective theory can be constructed by…

High Energy Physics - Theory · Physics 2020-01-08 Nikos Irges , Fotis Koutroulis

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 consider the Renormalization Group (RG) fixed-point theory associated with a fermionic $\psi^4_d$ model in $d=1,2,3$ with fractional kinetic term, whose scaling dimension is fixed so that the quartic interaction is weakly relevant in the…

Mathematical Physics · Physics 2025-10-31 Alessandro Giuliani , Vieri Mastropietro , Slava Rychkov , Giuseppe Scola

A common feature of tree-level holography is that a correlator in one theory can serve as a generating function for correlators in another theory with less continuous symmetry. This is the case for a family of 4d CFTs with eight…

High Energy Physics - Theory · Physics 2023-05-03 Connor Behan

Matrix theory and the AdS/CFT correspondence provide nonperturbative holographic formulations of string theory. In both cases the finite N theories can be thought of as infrared regulated versions of flat space string theory in which…

High Energy Physics - Theory · Physics 2009-10-31 Leonard Susskind

We propose a new consistency condition for the compatibility of a gravitational effective field theory in AdS with a dual holographic description in terms of a family of large-$N$ CFTs. Using large-$N$ factorization of correlation functions…

High Energy Physics - Theory · Physics 2026-05-05 Nikolay Bobev , Hynek Paul , Filippo Revello

We study holographic renormalization and the variational problem in four-dimensional Einstein gravity coupled to a self-interacting scalar field in asymptotically AdS spacetimes with mixed, designer-gravity boundary conditions. For static…

High Energy Physics - Theory · Physics 2026-05-07 David Choque , Raúl Rojas

We explore the conjectured duality between the critical O(N) vector model and minimal bosonic massless higher spin (HS) theory in AdS. In the boundary free theory, the conformal partial wave expansion (CPWE) of the four-point function of…

High Energy Physics - Theory · Physics 2009-11-11 Danilo E. Diaz , Harald Dorn

We study the dynamical evolution of strongly coupled field theories, initially in thermal equilibrium, under the influence of an external driving force. We model the field theory holographically using classical gravitational dynamics in an…

High Energy Physics - Theory · Physics 2015-05-20 Mukund Rangamani , Moshe Rozali , Anson Wong

We investigate the Exact Renormalization Group (ERG) description of ($Z_2$ invariant) one-component scalar field theory, in the approximation in which all momentum dependence is discarded in the effective vertices. In this context we show…

High Energy Physics - Theory · Physics 2009-10-28 Tim R. Morris

We critically review the use of the exact renormalization group equations (ERGE) in the framework of the scalar theory. We lay emphasis on the existence of different versions of the ERGE and on an approximation method to solve it: the…

High Energy Physics - Theory · Physics 2011-04-20 C. Bagnuls , C. Bervillier

We use the relation between certain diffeomorphisms in the bulk and Weyl transformations on the boundary to build the conformal structure of the metric in the presence of matter in the bulk. We explicitly obtain the conformal anomaly in any…

High Energy Physics - Theory · Physics 2013-10-23 Mozhgan Mir

Conformal field theory (CFT) is an extremely powerful tool for explicitly computing critical exponents and correlation functions of statistical mechanics systems at a second order phase transition, or of condensed matter systems at a…

Mathematical Physics · Physics 2021-02-23 Alessandro Giuliani

We generalize the $T\overline{T}$ deformation of CFT$_2$ to higher-dimensional large-$N$ CFTs, and show that in holographic theories, the resulting effective field theory matches semiclassical gravity in AdS with a finite radial cutoff. We…

High Energy Physics - Theory · Physics 2019-05-29 Thomas Hartman , Jorrit Kruthoff , Edgar Shaghoulian , Amirhossein Tajdini