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We outline our proposal for a field theory description of steady state incompressible fluid turbulence at the inertial range of scales in a general number of space dimensions. The theory consists of a Kolmogorov linear scaling mean field…

High Energy Physics - Theory · Physics 2018-11-26 Yaron Oz

Conformal Field Theories (CFTs) have rich dynamics in heavy states. We describe the constraints due to spontaneously broken boost and dilatation symmetries in such states. The spontaneously broken boost symmetries require the existence of…

High Energy Physics - Theory · Physics 2021-09-29 Zohar Komargodski , Márk Mezei , Sridip Pal , Avia Raviv-Moshe

Conformal invariance is spontaneously broken in many physical systems leading to the appearance of a single massless Goldstone mode in the spectrum, the dilaton. The dilaton soft limit is shown to generically encode the action of both the…

High Energy Physics - Theory · Physics 2015-07-31 Rutger H. Boels , Wadim Wormsbecher

We establish the emergence of a conformal field theory (CFT) in a (1+1)-dimensional hybrid quantum circuit right at the measurement-driven entanglement transition by revealing space-time conformal covariance of entanglement entropies and…

Quantum Physics · Physics 2021-09-15 Yaodong Li , Xiao Chen , Andreas W. W. Ludwig , Matthew P. A. Fisher

We consider possible conformal field theory (CFT) descriptions of the various inertial ranges that exist in $2d$ duality invariant Magnetohydrodynamics. Such models arise as effective theories of dyonic plasmas in 3 dimensions in which all…

High Energy Physics - Theory · Physics 2009-10-30 O. Coceal , W. A. Sabra , S. Thomas

We study the non-equilibrium dynamics of conformal field theory (CFT) in 1+1 dimensions with a smooth position-dependent velocity $v(x)$ explicitly breaking translation invariance. Such inhomogeneous CFT is argued to effectively describe…

Mathematical Physics · Physics 2024-02-26 Per Moosavi

We study a relationship between conformally invariant boundary conditions and anomalies of conformal field theories (CFTs) in 1+1 dimensions. For a given CFT with a global symmetry, we consider symmetric gapping potentials which are…

High Energy Physics - Theory · Physics 2024-07-12 Linhao Li , Chang-Tse Hsieh , Yuan Yao , Masaki Oshikawa

Fluid turbulence is a far-from-equilibrium phenomenon and remains one of the most challenging problems in physics. Two-dimensional, fully developed turbulence may possess the largest possible symmetry, the conformal symmetry. We focus on…

High Energy Physics - Theory · Physics 2022-10-14 Jun Nian , Xiaoquan Yu , Jinwu Ye

We study conformal gravity as an alternative theory of gravitation. For conformal gravity to be phenomenologically viable requires that the conformal symmetry is not manifest at the energy scales of the other known physical forces. Hence we…

High Energy Physics - Theory · Physics 2008-11-26 Jihene Bouchami , M. B. Paranjape

We present a conformal theory for intermittent scalar fields. As an example, we consider the energy flux from large to small scales in the developed turbulent flow. The conformal correlation functions are found in the inertial range of…

Chaotic Dynamics · Physics 2007-05-23 G. A. Kuzmin

The idea that the explicit breaking of scale invariance by the trace anomaly of QCD can be rephrased as a spontaneous breaking has been recently exploited to capture the low-energy strong interaction dynamics of dense (and also hot) matter…

High Energy Physics - Phenomenology · Physics 2014-11-20 Hyun Kyu Lee , Mannque Rho

Conformal field theory (CFT) has been extremely successful in describing large-scale universal effects in one-dimensional (1D) systems at quantum critical points. Unfortunately, its applicability in condensed matter physics has been limited…

Strongly Correlated Electrons · Physics 2017-02-15 Jérôme Dubail , Jean-Marie Stéphan , Jacopo Viti , Pasquale Calabrese

In the context of incompressible fluids, the observation that turbulent singular structures fail to be space filling is known as ``intermittency'' and it has strong experimental foundations. Consequently, as first pointed out by Landau,…

Analysis of PDEs · Mathematics 2023-12-19 Luigi De Rosa , Philip Isett

We propose and study a conformal field theory (CFT) model with random position-dependent velocity that, as we argue, naturally emerges as an effective description of heat transport in one-dimensional quantum many-body systems with certain…

Statistical Mechanics · Physics 2019-02-15 Edwin Langmann , Per Moosavi

Conformal field theory (CFT) with the central charge c=1 is important both in the field theory and in the condensed matter physics, since it has the continuous internal symmetry (U(1) or SU(2)) and a marginal operator, and it is an…

Condensed Matter · Physics 2007-05-23 Kiyohide Nomura

We analyze the mechanism of spontaneous symmetry breaking of scale invariance in Galilean invariant field theories. We show that the existence of a dynamic gapless dilaton mode depends on whether the $U(1)$ particle number or the Galilean…

High Energy Physics - Theory · Physics 2017-11-08 Igal Arav , Itamar Hason , Yaron Oz

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 study the properties of the dilaton in a soft-wall background using two solutions of the Einstein equations. These solutions contain an asymptotically AdS metric with a nontrivial scalar profile that causes both the spontaneous breaking…

High Energy Physics - Theory · Physics 2015-02-26 Peter Cox , Tony Gherghetta

Spontaneous symmetry breaking plays a pivotal role in physics ranging from the emergence of elementary particles to the phase transitions of matter. The spontaneous breaking of continuous time translation symmetry leads to a novel state of…

Fully Developed Turbulence (FDT) is a theoretical asymptotic phenomenon which can only be approximated experimentally or computationally, so its defining characteristics are hypothetical. It is considered to be a chaotic stationary flow…

Fluid Dynamics · Physics 2014-09-23 József Vass
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