Recent Developments in Affine Toda Quantum Field Theory

Corrigan, E.

doi:10.1007/978-1-4612-1410-6_1

Cited by 34 publications

(54 citation statements)

References 62 publications

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“…This is precisely the structure familiar from affine Toda field theory (see e.g. [3,4]) and to this extent the results provide a new perspective on properties [5] of the known S-matrices for PCMs [6].…”

Section: Introductionsupporting

confidence: 54%

“…Indeed, an S-matrix for the SU(N) SPCM has been conjectured (and tested) only fairly recently [19], and it is far from clear how this particular construction could be generalised to other groups. It is interesting therefore to consider whether a study of local charges, and the possible emergence of some version of Dorey's rule [3,4], might be helpful for the eventual determination of these exact scattering theories.…”

Section: The Super Pcm (And Super Wzw Model)mentioning

confidence: 99%

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Conserved charges and supersymmetry in principal chiral and WZW models

et al. 2000

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Conserved and commuting charges are investigated in both bosonic and supersymmetric classical chiral models, with and without Wess-Zumino terms. In the bosonic theories, there are conserved currents based on symmetric invariant tensors of the underlying algebra, and the construction of infinitely many commuting charges, with spins equal to the exponents of the algebra modulo its Coxeter number, can be carried out irrespective of the coefficient of the Wess-Zumino term. In the supersymmetric models, a different pattern of conserved quantities emerges, based on antisymmetric invariant tensors. The current algebra is much more complicated than in the bosonic case, and it is analysed in some detail. Two families of commuting charges can be constructed, each with finitely many members whose spins are exactly the exponents of the algebra (with no repetition modulo the Coxeter number). The conserved quantities in the bosonic and supersymmetric theories are only indirectly related, except for the special case of the WZW model and its supersymmetric extension.

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Section: Introductionsupporting

confidence: 54%

Section: The Super Pcm (And Super Wzw Model)mentioning

confidence: 99%

Conserved charges and supersymmetry in principal chiral and WZW models

et al. 2000

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“…Putting j equal to the index a, and using the fact (deducible from (3.3)) that l a · (l a − l k ) = 1 for all k = a, (4.15) becomes 16) and this can be compared with (3.10). Firstly, interchanging a and k requires…”

Section: Functional Integral Approach To the Transmission Matrixmentioning

confidence: 99%

On purely transmitting defects in affine Toda field theory

Corrigan

Zambon

2007

J. High Energy Phys.

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Affine Toda field theories with a purely transmitting integrable defect are considered and the model based on a 2 is analysed in detail. After providing a complete characterization of the problem in a classical framework, a suitable quantum transmission matrix, able to describe the interaction between an integrable defect and solitons, is found. Two independent paths are taken to reach the result. One is an investigation of the triangle equations using the S-matrix for the imaginary coupling bulk affine Toda field theories proposed by Hollowood, and the other uses a functional integral approach together with a bootstrap procedure. Evidence to support the results is collected in various ways: for instance, through the calculation of the transmission factors for the lightest breathers. While previous discoveries within the sine-Gordon model motivated this study, there are several new phenomena displayed in the a 2 model including intriguing disparities between the classical and the quantum pictures. For example, in the quantum framework, for a specific range of the coupling constant that excludes a neighbourhood of the classical limit, there is an unstable bound state.

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“…In this paper we shall look at one class of such models which have been recently studied -the real coupling affine Toda theories [13]. Some results on classical backgrounds and semi-classical scattering solutions have already been obtained in a number of special cases [14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Aspects of Classical Backgrounds and scattering for affine Toda theory on a half-line

Bowcock¹,

Perkins²

2003

J. High Energy Phys.

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In this paper we study various aspects of classical solutions to the affine Toda equations on a half-line with integrable boundary conditions. We begin by finding conditions that the theory has a stable vacuum by finding a Bogomolny bound on the energy, and analysing the possible singularities of the field at the boundary. Using these constraints and extensive numerical investigations we classify the vacuum configurations and reflection factors for A (1) r Toda theories up to r = 5.

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Recent Developments in Affine Toda Quantum Field Theory

Cited by 34 publications

References 62 publications

Conserved charges and supersymmetry in principal chiral and WZW models

Conserved charges and supersymmetry in principal chiral and WZW models

On purely transmitting defects in affine Toda field theory

Aspects of Classical Backgrounds and scattering for affine Toda theory on a half-line

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