Brand's non-profit The Point Foundation would own half and NETI would own the other half. a couple of resistors for that other project, a fixed frequency video card for that but later further developed at the House of Wisdom as the sine quadrant. The people there had woven cloth, a boundary made of mammoth bones,

Breather-like structures in modified sine-Gordon models To cite this article: L A Ferreira and Wojtek J Zakrzewski 2016 Nonlinearity 29 1622 View the article online for updates and enhancements. Related content Q-balls, integrability and duality Peter Bowcock, David Foster and Paul Sutcliffe-Breaking integrability at the boundary: the

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Boundary sine gordon fixed point

the on-shell spectral data of boundary sine-Gordon theory. Sine-Gordon eld theory is one of the most important quantum eld theoretic models with numerous applications ranging from particle the-oretic problems to condensed matter systems, and one which has played a central role in our understanding of 1+1 dimensional eld theories. A Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): http://arxiv.org/pdf/hep-th/95 $\begingroup$ @ChristianClason: Yes, but corresponding fixed point iteration $\Delta u_{n+1} = \sin(u_n)$ is Poisson equation - I don't say whether it converges or not. Similiarly applying Newton method would result in reaction-diffusion equation.

4. The double boundary sine-Gordon model: some general results at the reflectionless points 4.1. The ground state energy. The massive sine-Gordon theory has its discrete symmetry φ→φ+ 2π N β, N∈ N spontaneously broken for β 2 <8π. The spectrum has a number of fundamental particles classified as a soliton–antisoliton pair, and

Comm. Periodic boundary conditions can be specified using y [x 0] == y [x 1].

The Boundary supersymmetric sine-Gordon model revisited - Nepomechie, Rafael I. Phys.Lett. B509 (2001) 183-188 hep-th/0103029 UMTG-227 Update these references Boundary S matrix and boundary state in two-dimensional integrable quantum field theory - Ghoshal, Subir et al. Int.J.Mod.Phys. A9 (1994) 3841-3886, Erratum: Int.J.Mod.Phys. A9 (1994) 4353 hep-th/9306002 RU-93-20

We construct integrals of motion (IM) for the sine-Gordon model with boundary at the free fermion (β 2 =4π) which correctly determine the boundary S matrix. The algebra of these IM ("boundary quantum group" at q=1) is a one-parameter family of infinite-dimensional subalgebras of twisted widehat {sl(2)}. the on-shell spectral data of boundary sine-Gordon theory. Sine-Gordon eld theory is one of the most important quantum eld theoretic models with numerous applications ranging from particle the-oretic problems to condensed matter systems, and one which has played a central role in our understanding of 1+1 dimensional eld theories. A Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): http://arxiv.org/pdf/hep-th/95 $\begingroup$ @ChristianClason: Yes, but corresponding fixed point iteration $\Delta u_{n+1} = \sin(u_n)$ is Poisson equation - I don't say whether it converges or not.

Boundary operators and boundary ground states in sine–Gordon model with a fixed boundary condition are studied using bosonization and q-deformed oscillators. We also obtain the form-factors of this This paper is concerned with adaptive global stabilization of the sine‐Gordon equation without damping by boundary control. An adaptive stabilizer is constructed by the concept of high‐gain output feedback. The closed‐loop system is shown to be locally well‐posed by the Banach fixed point theorem and then to be globally well‐posed by the Lyapunov method. Moreover, using a multiplier The sine-Gordon model is one of the most extensively studied quantum field theories. The interest stems partly from the wide range of applications that extend from particle physic Sine-Gordon model The description of the symmetry and correlation functions of the Gaussian model in this and the following sections is based on 129-311. We first consider the 2D Gaussian model defined as the Lagrangian cy- 1 (WZ.
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We construct integrals of motion (IM) for the sine–Gordon model with boundary at the free fermion (β 2 =4π) which correctly determine the boundary S matrix. The algebra of these IM ("boundary quantum group" at q=1) is a one-parameter family of infinite-dimensional subalgebras of twisted .

From the boundary states, we derive both correlation and partit Expectation values of boundary fields in the boundary sine-Gordon model Vladimir Fateev a+d, Sergei Lukyanov bpd, Alexander Zamolodchikov c*d, Alexei Zamolodchikov a a Laboratoire de Physique Mathknatique, Universitk de Montpellier II, PI. E. Bataillon, 34095 Montpellier, France We study in this paper the sine-Gordon model using functional renormalization group at local potential approximation using different renormalization group (RG) schemes. In d = 2, using Wegner-Houghton RG we demonstrate that the location of the phase boundary is entirely driven by the relative position to the Coleman fixed point even for strongly coupled bare theories. We examine the properties of solutions to the sine-Gordon equation in the presence of various boundary conditions. Reflection from the boundary of a semi-infinite system with a fixed or free endpoint is found to be explainable in terms of the standard soliton-soliton and soliton-antisoliton solutions, respectively, for the infinite system.

common to obtain complex stationary points in the SPA. The real part is The exponential coeffient, αBC = 2, arises from matching the boundary contitions at the entrance and Legendre polynomial is related to the spherical harmonic, Pl(cos[θ])√(2l + 1)/4π=Yl,0. 51 O. E. Martinez, J. P. Gordon and R. L. Fork. Negative

. . . . 278 stationary point at the origin of the v versus x phase plane.

Sine-Gordon eld theory is one of the most important quantum eld theoretic models with numerous applications ranging from particle the-oretic problems to condensed matter systems, and one which has played a central role in our understanding of 1+1 dimensional eld theories. A Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): http://arxiv.org/pdf/hep-th/95 $\begingroup$ @ChristianClason: Yes, but corresponding fixed point iteration $\Delta u_{n+1} = \sin(u_n)$ is Poisson equation - I don't say whether it converges or not. Similiarly applying Newton method would result in reaction-diffusion equation. $\endgroup$ – Jan Blechta May 22 '13 at 15:35 The Boundary supersymmetric sine-Gordon model revisited - Nepomechie, Rafael I. Phys.Lett. B509 (2001) 183-188 hep-th/0103029 UMTG-227 Update these references Boundary S matrix and boundary state in two-dimensional integrable quantum field theory - Ghoshal, Subir et al. Int.J.Mod.Phys. A9 (1994) 3841-3886, Erratum: Int.J.Mod.Phys.