Breaking integrability at the boundary: the sine-Gordon model. 2 indicate the solutions of Eq.(14), which are also the stationary points of E(u0). Note that if a
We find that the entire SL (2, C) family of boundary states of a single boson are boundary sine-Gordon states and we derive a simple explicit expression for the boundary state in fermion variables
Out-of-equilibrium transport in the interacting resonant level model: Surprising relevance of the boundary sine-Gordon model Kemal Bidzhiev, Grégoire Misguich, and Hubert Saleur Phys. Rev. B 100, 075157 – Published 30 August 2019 In the present work the numerical solution and unique solvability of coupled sine Gordon equations is considered. A composite numerical method based on finite difference method and fixed point iteration is implemented to solve coupled sine-Gordon equations with appropriate initial and boundary conditions. The sine-Gordon equation is the theory of a massless scalar field in one space and one time dimension with interaction density proportional to cosβϕ, where β is a real parameter.
In the two-dimensional sine-Gordon model possesses a nontrivial UV fixed point which makes the model asymptoticallysafe.Thefixedpointexhibitsstrongsingularitysimilartothescalingfoundinthevicinityof theinfraredfixedpoint.Thesingularitysignalstheupperenergy-scalelimittothevalidityofthemodel.We We study bosonization of the sine-Gordon theory in the presence of boundary interactions at the free fermion point. In this way we obtain the boundary S-matrix as a function of ph We first consider the boundary sine-Gordon model, deriving a complete picture of the boundary bound state structure for general integrable boundary conditions, and then more general ATFTs in the We postulate sine-Gordon-like field theories with discrete gauge symmetries for which they are the appropriate boundary states. Discover the world's research 20+ million members Abstract. We investigate the free-Fermion point of a boundary sine-Gordon model with nondiagonal boundary interactions for the ground state using auxiliary functions, obtained from T-Q equations of a corresponding inhomogeneous open spin-1/2 XXZ chain with nondiagonal boundary terms. for the Boundary Sine-Gordon Model at the Free Fermion Point Luca Mezincescu and Rafael I. Nepomechie Physics Department, P.O. Box 248046, University of Miami Coral Gables, FL 33124 USA Abstract We construct integrals of motion (IM) for the sine-Gordon model with boundary at the free Fermion point ( 2 =4ˇ) which correctly determine the boundary Smatrix.
av G KLOPOTEK · Citerat av 1 — A) G. Klopotek, T. Artz, A. Bellanger, G. Bourda, M. Gerstl, D. Gordon,. R. Haas, S. obtained through a set of physical points with precisely determined coordinates. A set of such TSD (ε, α) = mh (ε) ZHD + mw (ε) ZWD + mg (ε)[GN cos (α) + GE sin (α)] ,. (3.15) boundary may also be shifted towards higher frequencies
Goal. To calculate EE along the flow between two fixed points. two fixed points. This talk.
We study in this paper the sine-Gordon model using functional Renormalization Group (fRG) at Local Potential Approximation (LPA) using different RG schemes. In
278 stationary point at the origin of the v versus x phase plane. For nonlinear ln, andsin to enter.
posteriori error estimates for the solution and its de
On the regularity of a free boundary near contact points with a fixed boundary2007Ingår i: Journal of Differential Equations, ISSN 0022-0396, E-ISSN 1090-2732,
Boundary value problems for the elliptic sine-gordon equation in a semi-strip2013Ingår i: Journal of nonlinear science, ISSN 0938-8974, E-ISSN 1432-1467, Vol
av R Larsson · 2019 · Citerat av 1 — of software is used to monitor if set boundaries are crossed and to analyze the flight characteristics defined, as shown in Figure 3.1, with the origin at a fixed point on the Earth's surface and the axes −N + mg cos(Θ) cos(Φ) = m ˙w + [m(pv − qu)]. (3.11) which can ter theory can be found in Gordon et al. [1993], Moral
av W Fakhardji — On a scientific point of view, I have to thank Dr. Jean-Michel Hartmann and Dr. The lower and upper boundaries in the Fourier transformation being The simulation box being set, the integration of the equations of motion are cos(ωt)C(t)dt [30] R. GORDON, “Correlation functions for molecular motion,” in Advances in
Nb/CuNi/Nb and a high-T-c YBa2Cu3O7-delta bicrystal grain-boundary junction. exhibit a conventional behavior, described by the local sine-Gordon equation. rapidly increases, indicative for the presence of the critical doping point.
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278 stationary point at the origin of the v versus x phase plane. For nonlinear ln, andsin to enter. the exponential, natural logarithm, and sine functions, suppose that Romeo's (a) Determine the solution of the ODE, subject to the boundary conditions. μ =0 aty = L av A Andréasson · 2014 — good way outside the toll boundary, in present-day Liljeholmen south of Storgatan. In The interpretation of officinal plants in a archaeobotanical data set are more easy to connect to Med sine om lag 300 hektar sto Trondheims ten evidence points to peas being cultivated in small urban medieval gardens (Hansen,.
two fixed points. This talk. 1 Compute change in EE for sine-Gordon deformation in 2D Boundary Computation.
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We nd the spectrum of boundary bound states for the sine-Gordon model with Dirichlet boundary conditions, closing the bootstrap and providing a complete description of all the poles in the boundary reflection factors. The boundary Coleman-Thun mechanism plays an important role in the analysis. Two basic lemmas are introduced which should hold for any 1+1-dimensional boundary eld theory, allowing
These include the so-called homogeneous and symmetric space sine-Gordon models, discrete and supersymmetric versions, and generalizations to higher-dimensional spacetimes (i.e., in [1] the spatial derivative is replaced by the Laplace operator in several variables). arXiv:0705.3928v1 [hep-th] 27 May 2007 Dissipative Hofstadter Model at the Magic Points and Critical Boundary Sine-Gordon Model Seungmuk Ji Department of Physics, Kangwon National University We study in this paper the sine-Gordon model using functional Renormalization Group (fRG) at Local Potential Approximation (LPA) using different RG schemes. In the two-dimensional sine-Gordon model possesses a nontrivial UV fixed point which makes the model asymptoticallysafe.Thefixedpointexhibitsstrongsingularitysimilartothescalingfoundinthevicinityof theinfraredfixedpoint.Thesingularitysignalstheupperenergy-scalelimittothevalidityofthemodel.We We study bosonization of the sine-Gordon theory in the presence of boundary interactions at the free fermion point.
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1995-07-20 · We study bosonization of the sine-Gordon theory in the presence of boundary interactions at the free fermion point. In this way we obtain the boundary S-matrix as a function of physical parameters in the boundary sine-Gordon Lagrangian. The boundary S-matrix can be matched onto the solution of Ghoshal and Zamolodchikov, thereby relating the formal parameters in the latter solution to the physical parameters in the lagrangian.
(1) Fr We consider the stationary sine-Gordon equation on metric graphs with simple We investigate the free-Fermion point of a boundary sine-Gordon model with Feb 15, 2019 The sine-Gordon model and its renormalization group evolution duces the leading two and three point correlators is a cubic the β function of the cosine operator of the boundary To fix the value of the coupling Known Bethe ansatz results about the sine–Gordon factorized scattering are reinterpreted in terms of perturbed conformal field theory. We obtain an exact Mar 4, 2019 (∇h)2 : +g cos 2πh. ) .