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In the context of Wilsonian Renormalization, renormalization group (RG) flows are a set of differential equations that defines how the coupling constants of a theory depend on an energy scale. These equations closely resemble…

High Energy Physics - Theory · Physics 2021-06-18 Caio Luiz Tiedt

Implementing the Wilsonian renormalization group (RG) transformation in a nonperturbative way, we construct an effective holographic dual description with an emergent extradimension identified with an RG scale. Taking the large$-N$ limit,…

High Energy Physics - Theory · Physics 2023-03-09 Ki-Seok Kim , Mitsuhiro Nishida , Yoonseok Choun

Several problems in physics, in particular the averaging problem in gravity, can be described in a formalism derived from the real-space Renormalization Group (RG) methods. It is shown that the RG flow is provided by the Ricci-Hamilton…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kamilla Piotrkowska

We investigate the structure of holographic renormalization in the presence of sources for irrelevant operators. By working perturbatively in the sources we avoid issues related to the non-renormalizability of the dual field theory. We find…

High Energy Physics - Theory · Physics 2015-05-27 Balt C. van Rees

The F theorem states that, for a unitary three dimensional quantum field theory, the F quantity defined in terms of the partition function on a three sphere is positive, stationary at fixed point and decreases monotonically along a…

High Energy Physics - Theory · Physics 2016-04-26 Marika Taylor , William Woodhead

We use holography to study finite-temperature deformations of RG flows that have exotic properties from an RG viewpoint. The holographic model consists of five-dimensional gravity coupled to a scalar field with a potential. Each negative…

High Energy Physics - Theory · Physics 2020-04-15 Yago Bea , David Mateos

We consider the holographic renormalization group (RG) flow in three dimensional gravity with the gravitational Chern-Simons term coupled to some scalar fields. We apply the canonical approach to this higher derivative case and employ the…

High Energy Physics - Theory · Physics 2014-11-20 Kyosuke Hotta , Yoshifumi Hyakutake , Takahiro Kubota , Takahiro Nishinaka , Hiroaki Tanida

We study holographic models describing an RG flow between two fixed points driven by a relevant scalar operator. We show how to introduce a spurion field to restore Weyl invariance and compute the anomalous contribution to the generating…

High Energy Physics - Theory · Physics 2013-03-20 Carlos Hoyos , Uri Kol , Jacob Sonnenschein , Shimon Yankielowicz

We study the $T\overline{T}$ deformation of two dimensional quantum field theories from a Hamiltonian point of view, focusing on aspects of the theory in Lorentzian signature. Our starting point is a simple rewriting of the spatial integral…

High Energy Physics - Theory · Physics 2020-11-25 Jorrit Kruthoff , Onkar Parrikar

We present a unified framework for the renormalisation of the Hamiltonian and eigenbasis of a system of correlated electrons, unveiling thereby the interplay between electronic correlations and many-particle entanglement. For this, we…

Strongly Correlated Electrons · Physics 2021-10-25 Anirban Mukherjee , Siddhartha Lal

Haros graphs have been recently introduced as a set of graphs bijectively related to real numbers in the unit interval. Here we consider the iterated dynamics of a graph operator $\cal R$ over the set of Haros graphs. This operator was…

Statistical Mechanics · Physics 2023-05-10 Jorge Calero-Sanz , Bartolo Luque , Lucas Lacasa

We develop a renormalization group for weak Harris-marginal disorder in otherwise strongly interacting quantum critical theories, focusing on systems which have emergent conformal invariance. Using conformal perturbation theory, we argue…

High Energy Physics - Theory · Physics 2022-03-30 Koushik Ganesan , Andrew Lucas , Leo Radzihovsky

Holographic RG flows can be better understood with the help of radially conserved charges. It was shown by various authors that the bulk gauge and diffeomorphism symmetries lead to the conservation of the zero mode of the holographic U(1)…

High Energy Physics - Theory · Physics 2018-05-23 Christian Copetti , Jorge Fernández-Pendás

In this work we focus on the study of RG flows of conformal field theories that are holographically dual to Poincar\'e domain wall solutions in $D=3$, $\mathcal{N}=(2,0)$ gauged supergravity coupled to a sigma model with target space $SU(1,…

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

In this letter we study renormalization group (RG) flows between 2d conformal field theories enjoying extended higher-spin $\mathcal{W}$-symmetry. We propose a new class of RG flows between the diagonal minimal models of…

High Energy Physics - Theory · Physics 2026-01-27 Federico Ambrosino , Tomáš Procházka

We present a renormalization-group (RG) flow argument for s-wave kaon condensation in dense nuclear-star matter predicted in chiral perturbation theory. It is shown that it is the {\it relevant} mass term together with {\it any} attractive…

High Energy Physics - Phenomenology · Physics 2009-10-28 Hyun Kyu Lee , Mannque Rho , Sang-Jin Sin

We discuss the relationship between geometry, the renormalization group (RG) and gravity. We begin by reviewing our recent work on crossover problems in field theory. By crossover we mean the interpolation between different representations…

High Energy Physics - Theory · Physics 2023-02-06 Denjoe O'Connor , C. R. Stephens

We investigate relevant deformation and the renormalization group flow in a defect conformal field theory from the point of view of the holography. We propose a candidate of g-function in the context of the holography, and prove the…

High Energy Physics - Theory · Physics 2009-11-07 Satoshi Yamaguchi

We analyze the vacuum (topological) angle $\theta$ renormalization for the quantum mechanical model of a particle moving around a ring, where $\theta$ is the magnetic flux through the ring. We construct a renormalization group (RG)…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. M. Apenko