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

Mussardo, Giuseppe; Riva, V.; Sotkov, G. M.

doi:10.1016/j.nuclphysb.2004.10.061

Cited by 12 publications

(19 citation statements)

References 30 publications

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“…In our recent papers [8,9], we have extended this technique to the study of soliton quantization in the Sine-Gordon model on the cylinder (with periodic b.c.) and on a strip with Dirichlet b.c..…”

Section: Semiclassical Quantization Of the Broken φ 4 Theory In Finitmentioning

confidence: 99%

“…The corresponding spectrum is given by the two discrete eigenvalues 9) and 10) plus the continuous part, labelled by q ∈ R,…”

Section: Infinite Volume Kinksmentioning

confidence: 99%

“…The non-perturbative semiclassical expansion [7] is known to be an effective method for the quantization of the kink solutions in an infinite volume, independently of the integrability of the model. Its recent extension to finite geometries [8,9] allowed us to derive analytic expressions for the scaling functions of the Sine-Gordon model defined on a cylinder with quasiperiodic b.c. (i.e.…”

Section: Introductionmentioning

confidence: 99%

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Kink scaling functions in 2D non-integrable quantum field theories

et al. 2006

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We determine the semiclassical energy levels for the φ 4 field theory in the broken symmetry phase on a 2D cylindrical geometry with antiperiodic boundary conditions by quantizing the appropriate finite-volume kink solutions. The analytic form of the kink scaling functions for arbitrary size of the system allows us to describe the flow between the twisted sector of c = 1 CFT in the UV region and the massive particles in the IR limit. Kink-creating operators are shown to correspond in the UV limit to disorder fields of the c = 1 CFT. The problem of the finite-volume spectrum for generic 2D Landau-Ginzburg models is also discussed.

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Section: Semiclassical Quantization Of the Broken φ 4 Theory In Finitmentioning

confidence: 99%

“…The corresponding spectrum is given by the two discrete eigenvalues 9) and 10) plus the continuous part, labelled by q ∈ R,…”

Section: Infinite Volume Kinksmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Kink scaling functions in 2D non-integrable quantum field theories

et al. 2006

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“…Hence we take all time derivatives of ϕ to be zero, and to place the theory on the interval we will demand that 0 ≤ x ≤ L. As we have set the time derivative of ϕ to zero we will have two Dirichlet boundary conditions to consider at x = 0 and L. We will focus on those for which ϕ(0) = ϕ(L) + 2mπ, m ∈ Z as in the static case this corresponds to open strings that end on the same D-brane. The same solutions described here have been previously deployed [24,25] in semiclassical analyses of sine-Gordon theory on the interval.…”

Section: Static Sine-gordon Solutions On the Intervalmentioning

confidence: 96%

Boundary giant magnons and giant gravitons

Ciavarella

Bowcock

2010

J. High Energ. Phys.

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We construct the full set of boundary giant magnons on R × S 2 attached to the maximal Z = 0 giant graviton by mapping from the general solution to static sine-Gordon theory on the interval and compute the values of ∆ − J at finite J, including the leading order corrections when J is large. We then consider the Born-Infeld theory of the giant graviton itself to construct BIon spike solutions that correspond to the world volume description of the boundary giant magnons at finite J. * a.m.ciavarella@durham.ac.uk

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“…The family of models introduced in this work can be used in a diversity of contexts, in particular, to study issues suggested in Ref. [12]. Another route of current interest concerns the investigation of braneworld models [13] with distinct solutions.…”

Section: Introductionmentioning

confidence: 99%

Study of models of the sine-Gordon type in flat and curved spacetime

et al. 2013

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We study a new family of models of the sine-Gordon type, starting from the sine-Gordon model, including the double sine-Gordon, the triple one, and so on. The models appears as deformations of the starting model, with the deformation controlled by two parameters, one very small, used to control a linear expansion on it, and the other, which specifies the particular model in the family of models. We investigate the presence of topological defects, showing how the solutions can be constructed explicitly from the topological defects of the sine-Gordon model itself. In particular, we delve into the double sine-Gordon model in a braneworld scenario with a single extra dimension of infinite extent, showing that a stable gravity scenario is admissible. Also, we briefly show that the deformation procedure can be used iteratively, leading to a diversity of possibilities to construct families of models of the sine-Gordon type.

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

Cited by 12 publications

References 30 publications

Kink scaling functions in 2D non-integrable quantum field theories

Kink scaling functions in 2D non-integrable quantum field theories

Boundary giant magnons and giant gravitons

Study of models of the sine-Gordon type in flat and curved spacetime

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