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Conformal field theories have been long known to describe the fascinating universal physics of scale invariant critical points. They describe continuous phase transitions in fluids, magnets, and numerous other materials, while at the same…

High Energy Physics - Theory · Physics 2019-04-18 David Poland , Slava Rychkov , Alessandro Vichi

The boundary entropy log(g) of a critical one-dimensional quantum system (or two-dimensional conformal field theory) is known to decrease under renormalization group (RG) flow of the boundary theory. We study instead the behavior of the…

High Energy Physics - Theory · Physics 2008-11-26 Daniel Green , Michael Mulligan , David Starr

Using the theory of generalized hydrodynamics (GHD), we derive exact Euler-scale dynamical two-point correlation functions of conserved densities and currents in inhomogeneous, non-stationary states of many-body integrable systems with weak…

Mathematical Physics · Physics 2018-11-28 Benjamin Doyon

Non-perturbative exact flow equations describe the scale dependence of the effective average action. We present a numerical solution for an approximate form of the flow equation for the potential in a three-dimensional N-component scalar…

High Energy Physics - Theory · Physics 2015-06-26 J. Adams , J. Berges , S. Bornholdt , F. Freire , N. Tetradis , C. Wetterich

Given a consistent choice of conformally invariant boundary conditions in a two dimensional conformal field theory, one can construct new consistent boundary conditions by deforming with a relevant boundary operator and flowing to the…

High Energy Physics - Theory · Physics 2014-01-31 Matej Kudrna , Miroslav Rapcak , Martin Schnabl

This thesis is dedicated to analysing the general structure of two- and three-point correlation functions of conserved currents of arbitrary integer or half-integer spins in three- and four-dimensional (super)conformal field theory.

High Energy Physics - Theory · Physics 2024-07-25 Benjamin J. Stone

We employ an effective kinetic description to study the space-time dynamics and development of transverse flow of small and large collision systems. By combining analytical insights in the few interactions limit with numerical simulations…

High Energy Physics - Phenomenology · Physics 2025-01-08 Victor E. Ambrus , S. Schlichting , C. Werthmann

We consider perturbations of unitary minimal models by boundary fields. Initially we consider the models in the limit as c -> 1 and find that the relevant boundary fields all have simple interpretations in this limit. This interpretation…

High Energy Physics - Theory · Physics 2009-11-07 K. Graham , I. Runkel , G. M. T Watts

We prove the existence and give a construction procedure of Euclidean-invariant exact solutions to the Wetterich equation in $d > 2$ dimensions satisfying the naive boundary condition of a massive and interacting real scalar $\phi^4$ theory…

High Energy Physics - Theory · Physics 2021-03-23 Jobst Ziebell

We extend the conformal gluing construction of Isenberg-Mazzeo-Pollack [18] by establishing an analogous gluing result for field theories obtained by minimally coupling Einstein's gravitational theory with matter fields. We treat classical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 James Isenberg , David Maxwell , Daniel Pollack

We review recent quantitative results on the approximation of mean field diffusion equations by large systems of interacting particles, obtained by optimal coupling methods. These results concern a larger range of models, more precise…

Classical Analysis and ODEs · Mathematics 2010-09-21 François Bolley

Recently, a new approach, based on boundary conformal field theory, has been applied to a variety of quantum impurity problems in condensed matter and particle physics. A particularly enlightening example is the multi-channel Kondo problem.…

Condensed Matter · Physics 2011-04-15 Ian Affleck

We examine the validity of the classical approximation of the waterfall phase transition in hybrid inflation from an effective field theory (EFT) point of view. The EFT is constructed by integrating out the waterfall field fluctuations, up…

High Energy Physics - Theory · Physics 2022-07-20 Jinn-Ouk Gong , Maria Mylova

Fractal percolation exhibits a dramatic topological phase transition, changing abruptly from a dust-like set to a system spanning cluster. The transition points are unknown and difficult to estimate. In many classical percolation models the…

Probability · Mathematics 2026-01-14 Michael A. Klatt , Steffen Winter

Free theories are landmarks in the landscape of quantum field theories: their exact solvability serves as a pillar for perturbative constructions of interacting theories. Fuzzy sphere regularization, which combines quantum Hall physics with…

Strongly Correlated Electrons · Physics 2025-07-01 Joseph Taylor , Cristian Voinea , Zlatko Papić , Ruihua Fan

In this paper we compute higher particle form factors of branch point twist fields. These fields were first described in the context of massive 1+1-dimensional integrable quantum field theories and their correlation functions are related to…

High Energy Physics - Theory · Physics 2011-07-22 Olalla A. Castro-Alvaredo , Emanuele Levi

The scaling properties of quantum gravity are discussed by employing a class of proper-time regulators in the functional flow equation for the conformal factor within the formalism of the background field method. Renormalization group…

High Energy Physics - Theory · Physics 2013-12-10 Alfio Bonanno , Filippo Guarnieri

We investigate exactly solvable two-dimensional conformal field theories that exist at generic values of the central charge, and that interpolate between A-series or D-series minimal models. When the central charge becomes rational,…

High Energy Physics - Theory · Physics 2019-06-26 Sylvain Ribault

A compact and efficient numerical method is described for studying plane flows of an ideal fluid with a smooth free boundary over a curved and nonuniformly moving bottom. Exact equations of motion in terms of the so-called conformal…

Fluid Dynamics · Physics 2020-07-01 Victor P. Ruban

We consider logarithmic conformal field theories near a boundary and derive the general form of one and two point functions. We obtain results for arbitrary and two dimensions. Application to two dimensional magnetohydrodynamics is…

High Energy Physics - Theory · Physics 2007-05-23 S. Moghimi-Araghi , S. Rouhani
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