Quantum scattering of charged solitons in the complex sine-Gordon model

Dorey, Nick; Hollowood, Timothy J.

doi:10.1016/0550-3213(95)00074-3

Cited by 61 publications

(152 citation statements)

References 32 publications

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“…For q = 0 this reduces to the standard expression for the time-delay due to the collison of two solitons in the CsG model [40].…”

Section: Scattering Solution and Time-delaymentioning

confidence: 99%

String theory in $Ad{{S}_{3}}\times {{S}^{3}}\times {{T}^{4}}$ with mixed flux: semiclassical and 1-loop phase in the S-matrix

Stepanchuk¹

2015

J. Phys. A: Math. Theor.

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We present a semiclassical derivation of the tree-level and 1-loop dressing phases in the massive sector of string theory on AdS 3 × S 3 × T 4 supplemented by R-R and NS-NS 3-form fluxes. In analogy with the AdS 5 ×S 5 case, we use the dressing method to obtain scattering solutions for dyonic giant magnons which allows us to determine the semiclassical bound-state S-matrix and its 1-loop correction. We also find that the 1-loop correction to the dyonic giant magnon energy vanishes. Looking at the relation between the bound-state picture and elementary magnons in terms of the fusion procedure we deduce the elementary dressing phases. In both the semiclassical and 1-loop cases we find agreement with recent proposals from finite-gap equations and unitarity cut methods. Further, we find consistency with the finite-gap picture by determining the resolvent for the dyonic giant magnon from the semiclassical bosonic scattering data.

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“…For q = 0 this reduces to the standard expression for the time-delay due to the collison of two solitons in the CsG model [40].…”

Section: Scattering Solution and Time-delaymentioning

confidence: 99%

String theory in $Ad{{S}_{3}}\times {{S}^{3}}\times {{T}^{4}}$ with mixed flux: semiclassical and 1-loop phase in the S-matrix

Stepanchuk¹

2015

J. Phys. A: Math. Theor.

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“…The affine A 1 -NA Toda theory with ǫ ± = H (±) corresponds to the Lund-Regge model describing charged solitons [24].…”

Section: Construction Of the Modelmentioning

confidence: 99%

Dyonic integrable models

et al. 2001

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A class of non abelian affine Toda models arising from the axial gauged two-loop WZW model is presented. Their zero curvature representation is constructed in terms of a graded Kac-Moody algebra. It is shown that the discrete multivacua structure of the potential together with non abelian nature of the zero grade subalgebra allows soliton solutions with non trivial electric and topological charges. The dressing transformation is employed to explicitly construct one and two soliton solutions and their bound states in terms of the tau functions. A discussion of the classical spectra of such solutions and the time delays are given in detail.

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“…When α = 0, the above soliton becomes nontopological and carries an extra conserved U(1)-charge [20,21]. In particular, if α = π/2, it simply reduces to the vacuum solution.…”

Section: The Complex Sine-gordon Modelmentioning

confidence: 99%

Vortex string dynamics in an external antisymmetric tensor field

1999

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We study the Lund-Regge equation that governs the motion of strings in a constant background antisymmetric tensor field by using the duality between the Lund-Regge equation and the complex sine-Gordon equation. Similar to the cases of vortex filament configurations in fluid dynamics, we find various exact solitonic string configurations which are the analogue of the Kelvin wave, the Hasimoto soliton and the smoke ring. In particular, using the duality relation, we obtain a completely new type of configuration which corresponds to the breather of the complex sine-Gordon equation.

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Quantum scattering of charged solitons in the complex sine-Gordon model

Cited by 61 publications

References 32 publications

String theory in $Ad{{S}_{3}}\times {{S}^{3}}\times {{T}^{4}}$ with mixed flux: semiclassical and 1-loop phase in the S-matrix

String theory in $Ad{{S}_{3}}\times {{S}^{3}}\times {{T}^{4}}$ with mixed flux: semiclassical and 1-loop phase in the S-matrix

Dyonic integrable models

Vortex string dynamics in an external antisymmetric tensor field

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