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We propose a new general BRST approach to string and string-like theories which have a wider range of applicability than e g the conventional conformal field theory method. The method involves a simple general regularization of all basic…

High Energy Physics - Theory · Physics 2015-06-26 Stephen Hwang , Robert Marnelius , Panagiotis Saltsidis

When conformal field theories (CFTs) are perturbed by marginally relevant deformations, renormalization group (RG) flows ensue that can be studied with perturbative methods, at least as long as they remain close to the original CFT. In this…

High Energy Physics - Theory · Physics 2016-08-16 Andreas Stergiou , David Stone , Lorenzo G. Vitale

The boundary effects in the open Hubbard chain with boundary fields are studied. The boundary string solutions of the Bethe ansatz equations that give rise to a wave functions localized at the boundary and exponentially decreasing away from…

Strongly Correlated Electrons · Physics 2009-10-30 Osamu Tsuchiya , Takashi Yamamoto

The flow near a moving contact line is primarily governed by three key parameters: viscosity ratio, dynamic contact angle, and inertia. While the behavior of dynamic contact angles has been extensively studied in earlier experimental and…

We investigate a classical open-closed string field theory whose open string sector is given by boundary string field theory. The open-closed interaction is introduced by the overlap of a boundary state with a closed string field. With the…

High Energy Physics - Theory · Physics 2012-07-12 Akira Ishida , Shunsuke Teraguchi

We consider a two-dimensional Ising field theory on a space with boundary in the presence of a piecewise constant boundary magnetic field which is allowed to change value discontinuously along the boundary. We assume zero magnetic field in…

High Energy Physics - Theory · Physics 2022-11-23 Anatoly Konechny

We consider the non-trivial boundary conformal field theory with exactly marginal boundary deformation. In recent years this deformation has been studied in the context of rolling tachyons and S-branes in string theory. Here we study the…

High Energy Physics - Theory · Physics 2008-11-26 Shinsuke Kawai , Esko Keski-Vakkuri , Robert G. Leigh , Sean Nowling

It is shown how the boundary correlators of the Euclidean theory corresponding to the rolling tachyon solution can be calculated directly from Sen's boundary state. The resulting formulae reproduce precisely the expected perturbative open…

High Energy Physics - Theory · Physics 2008-11-26 Matthias R. Gaberdiel , Michael Gutperle

At the classical level we study open bosonic strings. A generic description of string self-interactions localized at string ends is given. Self-interactions are characterized by two dimensionless coupling constants. The model is rewritten…

High Energy Physics - Theory · Physics 2015-06-26 Pawel Wegrzyn

Rare transitions in stochastic processes can often be rigorously described via an underlying large deviation principle. Recent breakthroughs in the classification of reversible stochastic processes as gradient flows have led to a connection…

Statistical Mechanics · Physics 2019-05-22 Tobias Grafke

Understanding structural glasses using the Random First Order Transition theory requires a description in both real space and in time, taking into account sample history. A variety of nonlinear objects enter this description, in field…

Disordered Systems and Neural Networks · Physics 2022-06-02 Peter G. Wolynes

We obtain exact results for correlation functions of primary operators in the two-dimensional conformal field theory of a scalar field interacting with a critical periodic boundary potential. Amplitudes involving arbitrary bulk discrete…

High Energy Physics - Theory · Physics 2009-11-10 Kristjan R. Kristjansson , Larus Thorlacius

We consider perturbations of 2D CFTs by multiple relevant operators. The massive phases of such perturbations can be labeled by conformal boundary conditions. Cardy's variational ansatz approximates the vacuum state of the perturbed theory…

High Energy Physics - Theory · Physics 2023-09-19 Anatoly Konechny

In this paper, we establish a result of Lagrangian controllability for a fluid at low Reynolds number, driven by the stationary Stokes equation. This amounts to the possibility of displacing a part of a fluid from one zone to another by…

Optimization and Control · Mathematics 2016-02-10 O. Glass , T. Horsin

The phase structure of the scalar field theory with arbitrary powers of the gradient operator and a local non-analytic potential is investigated by the help of the RG in Euclidean space. The RG equation for the generating function of the…

High Energy Physics - Theory · Physics 2022-02-23 K. Sailer , W. Greiner

We consider perturbation defects obtained by perturbing a 2D conformal field theory (CFT) by a relevant operator on a half-plane. If the perturbed bulk theory flows to an infrared fixed point described by another CFT, the defect flows to a…

High Energy Physics - Theory · Physics 2014-07-25 Anatoly Konechny , Cornelius Schmidt-Colinet

We study a class of renormalization group flows on line defects that can be described by a generalized free field with ordered planar contractions on the line. They are realized, for example, in large $N$ gauge theories with matter in the…

High Energy Physics - Theory · Physics 2024-06-18 Ivri Nagar , Amit Sever , De-liang Zhong

We consider a boundary value problem for the system of equations describing the stationary motion of a viscous nonhomogeneous asymmetric fluid in a bounded planar domain having a $C^2$ boundary. We use a stream-function formulation after…

Analysis of PDEs · Mathematics 2011-08-02 Fábio Vitoriano Silva

We review the Symmetric Unitary One Matrix Models. In particular we discuss the string equation in the operator formalism, the mKdV flows and the Virasoro Constraints. We focus on the $\t$-function formalism for the flows and we describe…

High Energy Physics - Theory · Physics 2007-05-23 K. N. Anagnostopoulos , M. J. Bowick

Gradient flow has proved useful in the definition and measurement of renormalized quantities on the lattice. Recently, the fact that it suppresses high-modes of the field has been used to construct new, continuous RG transformations both…

High Energy Physics - Lattice · Physics 2018-11-09 Andrea Carosso , Anna Hasenfratz , Ethan T. Neil