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We develop parallels between the holographic renormalization group in the bulk and the Wilsonian renormalization group in the dual field theory. Our philosophy differs from most previous work on the holographic RG; the most notable feature…

High Energy Physics - Theory · Physics 2015-03-17 Idse Heemskerk , Joseph Polchinski

A heavy quark moving through a strongly coupled deconfined plasma has a holographic dual description as a string moving in a black brane geometry. We apply the holographic Wilsonian renormalization method to derive a holographic effective…

High Energy Physics - Theory · Physics 2020-12-02 Diego Gutiez , Carlos Hoyos

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

We explore the mathematical relationship between holographic Wilsonian renormalization group(HWRG) and stochastic quantization(SQ) of scalar field theory with its generic mass, self-interaction and $n$-multiple-trace deformation on the…

High Energy Physics - Theory · Physics 2023-10-05 Gitae Kim , Ji-seong Chae , WooCheol Shin , Jae-Hyuk Oh

We study relation between stochastic quantization and holographic Wilsonian renormalization group flow. Considering stochastic quantization of the boundary on-shell actions with the Dirichlet boundary condition for certain $AdS$ bulk…

High Energy Physics - Theory · Physics 2012-12-04 Jae-Hyuk Oh , Dileep P. Jatkar

In this paper, we explore the relationship between holographic Wilsonian renormalization groups and stochastic quantization in conformally coupled scalar theory in AdS$_{4}$. The relationship between these two different frameworks is…

High Energy Physics - Theory · Physics 2023-11-15 Jun Hyeok Lee , Jae-Hyuk Oh

We explore the relation between stochastic quantization and holographic Wilsonian renormalization group flow further by studying conformally coupled scalar in $AdS_{d+1}$. We establish one to one mapping between the radial flow of its…

High Energy Physics - Theory · Physics 2015-06-15 Dileep P. Jatkar , Jae-Hyuk Oh

Inspired by holographic Wilsonian renormalization, we propose a novel perspective on the low-energy effective actions of confining gauge theories with gravity duals. By identifying the IR-boundary value of a certain bulk field as…

High Energy Physics - Theory · Physics 2015-06-18 Sophia K. Domokos , Matan Field

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

We study a mathematical relationship between holographic Wilsonian renormalization group and stochastic quantization framework. We extend the original proposal given in arXiv:1209.2242 to interacting theories. The original proposal suggests…

High Energy Physics - Theory · Physics 2021-11-24 Jae-Hyuk Oh

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

Inspired by the AdS/CFT correspondence, we develop an explicit formal duality between the planar limit of a d-dimensional gauge theory and a classical field theory in a (d+1)-dimensional anti-de Sitter space. The key ingredient is the…

High Energy Physics - Theory · Physics 2012-02-22 Djordje Radicevic

We show a possible way to build the AdS/CFT correspondence starting from the quantum field theory side based on renormalization group approach. An extra dimension is naturally introduced in our scheme as the renomalization scale. The…

High Energy Physics - Theory · Physics 2022-12-08 Fei Gao , Masatoshi Yamada

We explore the role of a holographic Wilsonian cut-off in simple probe brane models with chiral symmetry breaking/restoration phase transitions. The Wilsonian cut-off allows us to define supergravity solutions for off-shell configurations…

High Energy Physics - Theory · Physics 2013-05-29 Nick Evans , Keun-Young Kim , Maria Magou

We develop a systematic renormalization procedure for QFT in anti-de Sitter spacetime. UV infinities are regulated using a geodesic point-splitting method, which respects AdS isometries, while IR infinities are regulated by cutting off the…

High Energy Physics - Theory · Physics 2023-02-08 Máximo Bañados , Ernesto Bianchi , Iván Muñoz , Kostas Skenderis

We study the effects of holographic renormalisation on an AdS/QCD inspired description of dynamical electroweak symmetry breaking. Our model is a 5D slice of AdS_5 geometry containing a bulk scalar and SU(2) times SU(2) gauge fields. The…

High Energy Physics - Phenomenology · Physics 2010-10-12 Mark Round

For an effective AdS theory, we present a simple prescription to compute the renormalization of its dual boundary field theory. In particular, we define anomalous dimension holographically as the dependence of the wave-function…

High Energy Physics - Theory · Physics 2015-05-28 JiJi Fan

In this work, we present a holographic renormalization scheme for asymptotically anti-de Sitter spacetimes in which the dual renormalization scheme of the boundary field theory is dimensional regularization. This constitutes a new level of…

High Energy Physics - Theory · Physics 2019-10-23 Adam Bzowski , Marjorie Schillo

Hamiltonian Renormalisation, as defined within this series of works, was derived from covariant Wilson renormalisation via Osterwalder-Schrader reconstruction. As such it directly applies to QFT with a true (physical) Hamiltonian bounded…

General Relativity and Quantum Cosmology · Physics 2022-07-19 T. Thiemann , E. -A. Zwicknagel

Drawing on analogies with the commutative case, the Wilsonian picture of renormalization is developed for noncommutative scalar field theory. The dimensionful noncommutativity parameter, theta, induces several new features. Fixed-points are…

High Energy Physics - Theory · Physics 2009-08-03 Razvan Gurau , Oliver J. Rosten
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