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First order quantum corrections to the classical reflection factor of the sinh-Gordon model
The sinh-Gordon model is restricted to a half-line by boundary conditions
maintaining integrability. A perturbative calculation of the reflection factor
is given to one loop order in the bulk coupling and to first order in the
difference of the two parameters introduced at the boundary, providing a
further verification of Ghoshal's formula. The calculation is consistent with a
conjecture for the general dependence of the reflection factor on the boundary
parameters and the bulk coupling.Comment: 16 pages, 1 figur
Second order quantum corrections to the classical reflection factor of the sinh-Gordon model
The sinh-Gordon model on a half-line with integrable boundary conditions is
considered in low order perturbation theory developed in affine Toda field
theory. The quantum corrections to the classical reflection factor of the model
are studied up to the second order in the difference of the two boundary
parameters and to one loop order in the bulk coupling. It is noticed that the
general form of the second order quantum corrections are consistent with
Ghoshal's formula.Comment: 24 pages and 1 figure. LaTex2
On the perturbative expansion of boundary reflection factors of the supersymmetric sinh-Gordon model
The supersymmetric sinh-Gordon model on a half-line with integrable boundary
conditions is considered perturbatively to verify conjectured exact reflection
factors to one loop order. Propagators for the boson and fermion fields
restricted to a half-line contain several novel features and are developed as
prerequisites for the calculations.Comment: 19 pages, 2 figure
On the quantum reflection factor for the sinh-Gordon model with general boundary conditions
The one loop quantum corrections to the classical reflection factor of the
sinh-Gordon model are calculated partially for general boundary conditions. The
model is studied under boundary conditions which are compatible with
integrability, and in the framework of the conventional perturbation theory
generalized to the affine Toda field theory. It is found that the general form
of the related quantum corrections are hypergeometric functions.Comment: 32 pages and 1 figure. LaTex2
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