Diagonal multisoliton matrix elements in finite volume

@article{Palmai2013DiagonalMM,
  title={Diagonal multisoliton matrix elements in finite volume},
  author={T. P'almai and G'abor Tak'acs},
  journal={Physical Review D},
  year={2013},
  volume={87},
  pages={045010}
}
We consider diagonal matrix elements of local operators between multi-soliton states in finite volume in the sine-Gordon model, and formulate a conjecture regarding their finite size dependence which is valid up to corrections exponential in the volume. This conjecture extends the results of Pozsgay and Tak\'acs which were only valid for diagonal scattering. In order to test the conjecture we implement a numerical renormalization group improved truncated conformal space approach. The numerical… Expand

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References

SHOWING 1-10 OF 44 REFERENCES
Form factors in finite volume II: Disconnected terms and finite temperature correlators
Abstract Continuing the investigation started in a previous work, we consider form factors of integrable quantum field theories in finite volume, extending our investigation to matrix elements withExpand
One-point functions in massive integrable QFT with boundaries
We consider the expectation value of a local operator on a strip with non-trivial boundaries in 1+1 dimensional massive integrable QFT. Using finite volume regularisation in the crossed channel andExpand
On form factors in nested Bethe Ansatz systems
We investigate form factors of local operators in a multi-component quantum nonlinear Schrodinger model, a prototype theory solvable by the so-called nested Bethe Ansatz. We determine the analyticExpand
Form factor perturbation theory from finite volume
Abstract Using a regularization by putting the system in finite volume, we develop a novel approach to form factor perturbation theory for non-integrable models described as perturbations ofExpand
Boundary form-factors in finite volume
Abstract We describe the volume dependence of matrix elements of local boundary fields to all orders in inverse powers of the volume. Using the scaling boundary Lee–Yang model as testing ground, weExpand
Finite volume form factors and correlation functions at finite temperature
In this thesis we investigate finite size effects in 1+1 dimensional integrable QFT. In particular we consider matrix elements of local operators (finite volume form factors) and vacuum expectationExpand
Sine-Gordon form factors in finite volume
We compare form factors in sine-Gordon theory, obtained via the bootstrap, to finite volume matrix elements computed using the truncated conformal space approach. For breather form factors, this isExpand
Form factors in finite volume I: Form factor bootstrap and truncated conformal space
Abstract We describe the volume dependence of matrix elements of local fields to all orders in inverse powers of the volume (i.e., only neglecting contributions that decay exponentially with volume).Expand
Truncated conformal space at c=1, nonlinear integral equation and quantization rules for multi-soliton states
Abstract We develop truncated conformal space (TCS) technique for perturbations of c =1 conformal field theories. We use it to give the first numerical evidence of the validity of the non-linearExpand
Numerical renormalization group for continuum one-dimensional systems.
TLDR
This procedure integrates Wilson's numerical renormalization group with Zamolodchikov's truncated conformal spectrum approach and works naturally on a wide class of interacting one-dimension models based on perturbed (possibly strongly) continuum conformal and integrable models. Expand
...
1
2
3
4
5
...