The determinant representation for quantum correlation functions of the sinh-Gordon model

@article{Korepin1998TheDR,
  title={The determinant representation for quantum correlation functions of the sinh-Gordon model},
  author={Vladimir E. Korepin and Nikita Andreevich Slavnov},
  journal={Journal of Physics A},
  year={1998},
  volume={31},
  pages={9283-9295}
}
We consider the quantum sinh-Gordon model in this paper. Form factors in this model were calculated by Mussardo and colleagues. We sum up all contributions of form factors and obtain a closed expression for a correlation function. This expression is a determinant of an integral operator. Similar determinant representations have been proven to be useful not only in the theory of correlation functions, but also in matrix models. 
View PDF on arXiv
18 Citations
Background Citations
2
Methods Citations
1

18 Citations

Citation Type

Citation Type

A determinant representation for a correlation function of the scaling Lee - Yang model
We consider the scaling Lee - Yang model. It corresponds to the unique perturbation of the minimal CFT model . This model is not unitary. We are using an expression for form factors in terms of…
Form factor expansion for thermal correlators
We consider finite temperature correlation functions in massive integrable Quantum Field Theory. Using a regularization by putting the system in finite volume, we develop a novel approach (based on…
THE FORM FACTORS IN THE SINH–GORDON MODEL
The most general solution to the form factor problem in the sinh–Gordon model is presented in an explicit way. The linearly independent classes of solutions correspond to powers of the elementary…
Exact form factors in integrable quantum field theories: the sine-Gordon model
Exact matrix elements in supersymmetric theories
The Form Factor Program: a Review and New Results - the Nested SU(N) Off-Shell Bethe Ansatz ?
The purpose of the "bootstrap program" for integrable quantum field theories in 1+1 dimensions is to construct explicitly a model in terms of its Wightman functions. In this article, this program is…
Asymptotic expression for the correlation function of twisted fields in the two-dimensional Dirac model on a lattice
A determinant representation is obtained for the correlation function of twisted fields in the two-dimensional Dirac model on a lattice. These fields are determined by twisted boundary conditions for…
Exact form factors in integrable quantum field theories: the sine-Gordon model (II)
Asymptotics of correlation function of twist fields in two-dimensional lattice fermion model
In two-dimensional lattice fermion model a determinant representation for the two-point correlation function of the twist field in the disorder phase is obtained. This field is defined by twisted…
VARYING THE UNRUH TEMPERATURE IN INTEGRABLE QUANTUM FIELD THEORIES
...
1
2
...

References

SHOWING 1-10 OF 64 REFERENCES
Differential equations for sine-Gordon correlation functions at the free fermion point
On the operator content of the sinh-Gordon model
Temperature correlations of quantum spins.
TLDR
The problem of the evaluation of asymptotics of temperature correlations is solved and the physical meaning of the result is explained.
Form factors for integrable lagrangian field theories, the sinh-Gordon model
Mapping between the sinh-Gordon and Ising models
Exact form factors in (1 + 1)-dimensional field theoretic models with soliton behaviour
Dual field formulation of quantum integrable models
Equal time correlators are studied in completely integrable models. The main example is the quantum non-linear Schrödinger equation. Introduction of an auxiliary Fock space permits us to represent…
Form Factors in Completely Integrable Models of Quantum Field Theory
Completely integrable models of quantum field theory the space of physical states the necessary properties of form factors the local commutativity theorem soliton form factors in SG model the…
XIII. Exact S-matrices and form factors in 1 + 1 dimensional field theoretic models with soliton behaviour
Determinant formula for the six-vertex model
The partition function of a six-vertex model with domain wall boundary conditions is considered on the finite lattice. The authors show that the partition function satisfies a recursive relation.…
...
1
2
3
4
5
...