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In this thesis we study two different approaches to holography, and comment on the possible relation between them. The first approach is an analysis of the high-energy regime of quantum gravity in the eikonal approximation, where the theory…

High Energy Physics - Theory · Physics 2016-09-06 Sebastian de Haro

Based on the Renormalization Group method, a reduction of non integrable multi-dimensional hamiltonian systems has been performed. The evolution equations for the slowly varying part of the angle-averaged phase space density, and for the…

Accelerator Physics · Physics 2008-11-26 Stephan I. Tzenov

Working with scalar field theories, we discuss choices of regulator that, inserted in the functional renormalization group equation, reproduce the results of dimensional regularization at one and two loops. The resulting flow equations can…

High Energy Physics - Theory · Physics 2021-04-28 Alessio Baldazzi , Roberto Percacci , Luca Zambelli

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

We point out that two distinct distance--energy relations have been discussed in the AdS/CFT correspondence. In conformal backgrounds they differ only in normalization, but in nonconformal backgrounds they differ in functional form. We…

High Energy Physics - Theory · Physics 2009-10-09 Amanda W. Peet , Joseph Polchinski

The holographic nonsupersymmetric renormalization group flows in four dimensions are found. The mass-deformed N=2, 4 Chern-Simons matter theories can be reproduced from N=1 Chern-Simons matter theory by putting some constraints in the mass…

High Energy Physics - Theory · Physics 2009-03-24 Changhyun Ahn

We formulate a holographic Wilsonian renormalization group flow for strongly coupled systems with a gravity dual, motivated by the need to extract efficiently low energy behavior of such systems. Starting with field theories defined on a…

High Energy Physics - Theory · Physics 2011-08-19 Thomas Faulkner , Hong Liu , Mukund Rangamani

Quantum Chromodynamics in two spacetime dimensions is investigated with the Functional Renormalization Group. We use a functional formulation with covariant gauge fixing and derive Renormalization Group flow equations for the gauge…

High Energy Physics - Phenomenology · Physics 2025-05-06 Eric Oevermann , Adrian Koenigstein , Stefan Floerchinger

We consider the GUT-like model with two scalar fields which has infinitesimal deviation from the conformal invariant fixed point at high energy region. In this case the dominating quantum effect is the conformal trace anomaly and the…

High Energy Physics - Theory · Physics 2009-02-25 Guido Cognola , Ilya L. Shapiro

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

Within the framework of the AdS/CMT correspondence asymptotically anti-de Sitter black holes in four space-time dimensions can be used to analyse transport properties in two space dimensions. A non-linear renormalisation group equation for…

High Energy Physics - Theory · Physics 2021-02-23 Brian P. Dolan

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

Using a novel approach to renormalization in the Hamiltonian formalism, we study the connection between asymptotic freedom and the renormalization group flow of the configuration space metric. It is argued that in asymptotically free…

High Energy Physics - Theory · Physics 2009-10-31 G. Alexanian , E. F. Moreno

This is a very brief review of some results from hep-th/0112154 and hep-th/0209191. In holographic renormalization, we studied the RG flow of a 2d N=(4,4) CFT perturbed by a relevant operator, flowing to a conformal fixed point in the IR.…

High Energy Physics - Theory · Physics 2007-05-23 Marcus Berg

We construct the holographic renormalization group (RG) flow of thermo-electric conductivities when the translational symmetry is broken. The RG flow is probed by the intrinsic observers hovering on the sliding radial membranes. We obtain…

High Energy Physics - Theory · Physics 2018-04-10 Shao-Feng Wu , Bin Wang , Xian-Hui Ge , Yu Tian

We study the scaling behavior of classical multifield cosmological models with complete scalar manifold $({\cal M},{\cal G})$ and positive smooth scalar potential $\Phi$, introducing a dynamical renormalization group action which relates…

High Energy Physics - Theory · Physics 2023-02-02 C. I. Lazaroiu

The correspondence between the four-dimensional SU(N), $\cN = 4$ SYM taken at large $N$ and the type II B SUGRA on the $AdS_5\times S_5$ background is considered. We argue that the classical equations of motion in the SUGRA picture can be…

High Energy Physics - Theory · Physics 2016-09-06 E. T. Akhmedov

We review some aspects of the AdS supergravity description of RG flows. The case of a flow to an IR CFT can be rigorously studied within the framework of supergravity. Here we discuss various central charges of the conformal theory…

High Energy Physics - Theory · Physics 2009-09-25 M. Petrini , A. Zaffaroni

We apply the quantum renormalization group to construct a holographic dual for the U(N) vector model for complex bosons defined on a lattice. The bulk geometry becomes dynamical as the hopping amplitudes which determine connectivity of…

High Energy Physics - Theory · Physics 2015-08-31 Peter Lunts , Subhro Bhattacharjee , Jonah Miller , Erik Schnetter , Yong Baek Kim , Sung-Sik Lee

We study the Hamilton-Jacobi formulation of effective mechanical actions associated with holographic renormalization group flows when the field theory is put on the sphere and mass terms are turned on. Although the system is supersymmetric…

High Energy Physics - Theory · Physics 2020-10-15 Nakwoo Kim , Se-Jin Kim
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