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This brief review introduces the method and application of real-space renormalization group to strongly disordered quantum systems. The focus is on recent applications of the strong disorder renormalization group to the physics of…

Disordered Systems and Neural Networks · Physics 2014-02-26 Gil Refael , Ehud Altman

The seemingly simple problem of determining the drag on a body moving through a very viscous fluid has, for over 150 years, been a source of theoretical confusion, mathematical paradoxes, and experimental artifacts, primarily arising from…

Fluid Dynamics · Physics 2009-11-13 John Veysey , Nigel Goldenfeld

Duality symmetries of supergravity theories are powerful tools to restrict the number of possible actions, to link different dimensions and number of supersymmetries and might help to control quantisation. (Hodge-Dirac-)Dualisation of gauge…

High Energy Physics - Theory · Physics 2007-05-23 B. L. Julia

We report a comprehensive numerical study of the renormalization group flow of marginal couplings in $(3+1)$-dimensional projectable Ho\v{r}ava gravity. First, we classify all fixed points of the flow and analyze their stability matrices.…

General Relativity and Quantum Cosmology · Physics 2024-11-22 Andrei O. Barvinsky , Alexander V. Kurov , Sergey M. Sibiryakov

We present a renormalizability proof for spontaneously broken SU(2) gauge theory based on Flow Equations. It is a conceptually and technically simplified version of the earlier paper [KM] including some extensions. The proof of [KM] also…

Mathematical Physics · Physics 2015-05-13 Christoph Kopper , Volkhard F. Müller

We review some aspects of non commutative quantum field theory and group field theory, in particular recent progress on the systematic study of the scaling and renormalization properties of group field theory. We thank G. Zoupanos and the…

General Relativity and Quantum Cosmology · Physics 2011-06-24 Vincent Rivasseau

This Ph.D. thesis is divided in two parts. The first one concerns the equilibrium properties of glassy systems. Some aspects of the phenomenology of glasses and of theories attempting to describe them are reviewed in chapter 1. A study of…

Disordered Systems and Neural Networks · Physics 2007-05-23 F. Zamponi

We analyze the behaviour of heterotic squashed-Wess-Zumino-Witten backgrounds under renormalization-group flow. The flows we consider are driven by perturbation creating extra gauge fluxes. We show how the conformal point acts as an…

High Energy Physics - Theory · Physics 2009-11-11 Domenico Orlando , P. Marios Petropoulos , Konstadinos Sfetsos

We extend the Wilson renormalization group (RG) to supersymmetric theories. As this regularization scheme preserves supersymmetry, we exploit the superspace technique. To set up the formalism we first derive the RG flow for the massless…

High Energy Physics - Theory · Physics 2009-10-31 M. Bonini , F. Vian

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

In the context of field theory two elements seem to be necessary to search for strong-weak coupling duality. First, a gauge theory formulation and second, supersymmetry. For gravitation these two elements are present in MacDowell-Mansouri…

High Energy Physics - Theory · Physics 2009-10-31 H. Garcia-Compean , A. Nieto , O. Obregon , C. Ramirez

We analize the impact of two-loop renormalization group equations on the $SU(3)_c\times SU(2)_w\times U(1)_Y$ gauge couplings unification in various supersymmetric theories. In general the presence of superfields in higher representation…

High Energy Physics - Phenomenology · Physics 2017-09-25 Antonio Costantini

We study the gauge/gravity duality for theories with four dimensional ${\cal N}=2$ supersymmetries. We consider the large class of generalized quiver field theories constructed recently by one of us (D.G.). These field theories can also be…

High Energy Physics - Theory · Physics 2009-11-10 Davide Gaiotto , Juan Maldacena

We perform an exact renormalization-group analysis of one-dimensional 4-state clock models with complex interactions. Our aim is to provide a simple explicit illustration of the behavior of the renormalization-group flow in a system…

High Energy Physics - Theory · Physics 2009-10-22 M. Asorey , J. G. Esteve , R. Fernandez J. Salas

We revisit the holographic renormalization group (RG) setting in which a 4-dimensional ($4d$) quantum field theory at a finite cutoff corresponds to/is described by the Einstein gravity on a part of AdS$_{5}$ space, cutoff at a finite…

High Energy Physics - Theory · Physics 2025-08-26 H. Adami , M. M. Sheikh-Jabbari , V. Taghiloo

Entanglement entropy (EE) in interacting field theories has two important issues: renormalization of UV divergences and non-Gaussianity of the vacuum. In this letter, we investigate them in the framework of the two-particle irreducible…

High Energy Physics - Theory · Physics 2021-05-21 Satoshi Iso , Takato Mori , Katsuta Sakai

In this paper, we continue the study of Janus and RG-flow interfaces in three dimensional supergravity continuing the work presented in [1]. We consider ${\cal N}=8$ gauged supergravity theories which have a ${\cal N}=(4,4)$ $AdS_3$ vacuum…

High Energy Physics - Theory · Physics 2022-09-07 Michael Gutperle , Charlie Hultgreen-Mena

We review current progress in the functional renormalization group treatment of disordered systems. After an elementary introduction into the phenomenology, we show why in the context of disordered systems a functional renormalization group…

Condensed Matter · Physics 2007-05-23 Kay Joerg Wiese

This paper is the last of the series investigating renormalization group aspects of stochastic random matrices, including a Wigner-like disorder. We consider the equilibrium dynamics formalism that can be merged with the Ward identities…

High Energy Physics - Theory · Physics 2024-08-15 Vincent Lahoche , Dine Ousmane Samary

The four dimensional gauged supergravities descending from non-geometric string compactifications involve a wide class of flux objects which are needed to make the theory invariant under duality transformations at the effective level.…

High Energy Physics - Theory · Physics 2009-02-20 Adolfo Guarino , George James Weatherill