Boundary breathers in the sinh-Gordon model

Corrigan, E.; Delius, Gustav W.

doi:10.1088/0305-4470/32/49/303

Cited by 23 publications

(48 citation statements)

References 27 publications

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“…It is worth mentioning that, in recent years, this problem (and variations thereof) has attracted the attention of several groups: the case of half-plane geometry, for instance, has been discussed by bootstrap methods in [6,7,8] and by semiclassical ones in [9,10,11] whereas the thermodynamics of different cases in a strip geometry has been studied in a series of publications (see [12][13][14][15][16][17][18]). …”

Section: Introductionmentioning

confidence: 99%

Semiclassical energy levels of sine-Gordon model on a strip with Dirichlet boundary conditions

2005

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We derive analytic expressions of the semiclassical energy levels of Sine-Gordon model in a strip geometry with Dirichlet boundary condition at both edges. They are obtained by initially selecting the classical backgrounds relative to the vacuum or to the kink sectors, and then solving the Schrödinger equations (of Lamè type) associated to the stability condition. Explicit formulas are presented for the classical solutions of both the vacuum and kink states and for the energy levels at arbitrary values of the size of the system. Their ultraviolet and infrared limits are also discussed.

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Section: Introductionmentioning

confidence: 99%

Semiclassical energy levels of sine-Gordon model on a strip with Dirichlet boundary conditions

2005

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“…the boundary conditions can be non-singular except at points beyond the boundary; in effect, the singularities are hidden away in the region x > 0. This hope turns out to be realised rather neatly and the details are given more fully in [8].…”

Section: Classical Boundary Breathersmentioning

confidence: 97%

“…For the symmetric case, (a 0 = a 1 ), F = 0, and the question does not even arise. More details of these calculations may be found in [8] and [12].…”

Section: Using the Boundary Bootstrapmentioning

confidence: 99%

“…We shall do this by adapting the WKB methods proposed long ago by Dashen, Hasslacher and Neveu [13]. Here it will be enough to outline the prescription and more of the details are to be found in [8,12]. The procedure is certainly non-perturbative but we have no way of telling at present if it is also exact.…”

Section: Semi-classical Quantizationmentioning

confidence: 99%

“…The detailed calculation of ∆ may be found in [8,12]; here it is enough to quote the result which is pleasingly simple:…”

Section: Semi-classical Quantizationmentioning

confidence: 99%

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Boundary states in integrable quantum field theory

Corrigan¹

2000

Proceedings of Non-Perturbative Quantum Effects 2000 — PoS(tmr2000)

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The purpose of this talk is to sketch some recent progress which has been made in calculating non-perturbatively the reflection factors for the sinh-Gordon model restricted to a half-line by integrable boundary conditions. The essential idea is to calculate the energy spectrum of boundary breathers in two independent ways; firstly by using the boundary bootstrap and secondly by quantizing the classical solutions corresponding to boundary breathers. Comparing these two calculations provides a way to determine the dependence of the reflection factors on the parameters introduced into the Lagrangian by the boundary conditions. The basic idea is illustrated using a massive free scalar field with a linear boundary condition confining it to a half-line.

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N=2 boundary supersymmetry in integrable models and perturbed boundary conformal field theory

Baseilhac¹,

Koizumi²

2003

Nuclear Physics B

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Boundary integrable models with N = 2 supersymmetry are considered. For the simplest boundary N = 2 superconformal minimal model with a Chebyshev bulk perturbation we show explicitly how fermionic boundary degrees of freedom arise naturally in the boundary perturbation in order to maintain integrability and N = 2 supersymmetry. A new boundary reflection matrix is obtained for this model and N = 2 boundary superalgebra is studied. A factorized scattering theory is proposed for a N = 2 supersymmetric extension of the boundary sine-Gordon model with either (i) fermionic or (ii) bosonic and fermionic boundary degrees of freedom. Exact results are obtained for some quantum impurity problems: the boundary scaling Lee-Yang model, a massive deformation of the anisotropic Kondo model at the filling values g = 2/(2n + 3) and the boundary Ashkin-Teller model..

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Boundary breathers in the sinh-Gordon model

Cited by 23 publications

References 27 publications

Semiclassical energy levels of sine-Gordon model on a strip with Dirichlet boundary conditions

Semiclassical energy levels of sine-Gordon model on a strip with Dirichlet boundary conditions

Boundary states in integrable quantum field theory

N=2 boundary supersymmetry in integrable models and perturbed boundary conformal field theory

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