5,020 research outputs found
Lattice approach to finite volume form-factors of the Massive Thirring/Sine-Gordon model
In this paper we demonstrate, that the light-cone lattice approach for the
Massive-Thirring (sine-Gordon) model, through the quantum inverse scattering
method, admits an appropriate framework for computing the finite volume
form-factors of local operators of the model. In this work we compute the
finite volume diagonal matrix elements of the conserved current in the
pure soliton sector of the theory. Based on the systematic large volume
expansion of our results, we conjecture an exact expression for the finite
volume expectation values of local operators in pure soliton states. At large
volume in leading order these expectation values have the same form as in
purely elastic scattering theories, but exponentially small corrections differ
from previous Thermodynamic Bethe Ansatz conjectures of purely elastic
scattering theories
Exact finite volume expectation values of in the Massive Thirring model from light-cone lattice correlators
In this paper, using the light-cone lattice regularization, we compute the
finite volume expectation values of the composite operator
between pure fermion states in the Massive Thirring Model. In the light-cone
regularized picture, this expectation value is related to 2-point functions of
lattice spin operators being located at neighboring sites of the lattice. The
operator is proportional to the trace of the stress-energy
tensor. This is why the continuum finite volume expectation values can be
computed also from the set of non-linear integral equations (NLIE) governing
the finite volume spectrum of the theory. Our results for the expectation
values coming from the computation of lattice correlators agree with those of
the NLIE computations. Previous conjectures for the LeClair-Mussardo-type
series representation of the expectation values are also checked.Comment: text and explanations improved, published versio
Norm of Bethe-wave functions in the continuum limit
The 6-vertex model with appropriately chosen alternating inhomogeneities
gives the so-called light-cone lattice regularization of the sine-Gordon
(Massive-Thirring) model. In this integrable lattice model we consider pure
hole states above the antiferromagnetic vacuum and express the norm of
Bethe-wave functions in terms of the hole's positions and the counting-function
of the state under consideration. In the light-cone regularized picture pure
hole states correspond to pure soliton (fermion) states of the sine-Gordon
(massive Thirring) model. Hence, we analyze the continuum limit of our new
formula for the norm of the Bethe-wave functions. We show, that the physically
most relevant determinant part of our formula can be expanded in the large
volume limit and turns out to be proportional to the Gaudin-determinant of pure
soliton states in the sine-Gordon model defined in finite volume.Comment: 39 pages, 3 figure
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