# 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

#### Figures from this paper

#### 16 Citations

Finite temperature one-point functions in non-diagonal integrable field theories: the sine-Gordon model

- Mathematics, Physics
- 2013

A bstractWe study the finite-temperature expectation values of exponential fields in the sine-Gordon model. Using finite-volume regularization, we give a low-temperature expansion of such quantities… Expand

Lattice approach to finite volume form-factors of the Massive Thirring (Sine-Gordon) model

- Physics
- 2017

A bstractIn 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… Expand

Spectral expansion for finite temperature two-point functions and clustering

- Mathematics, Physics
- 2012

Recently, the spectral expansion of finite temperature two-point functions in integrable quantum field theories was constructed using a finite volume regularization technique and the application of… Expand

Form factor approach to diagonal finite volume matrix elements in Integrable QFT

- Physics
- 2013

A bstractWe derive an exact formula for finite volume excited state mean values of local operators in 1+1 dimensional Integrable QFT with diagonal scattering. Our result is a non-trivial… Expand

One-point functions in finite volume/temperature: a case study

- Physics
- 2013

A bstractWe consider finite volume (or equivalently, finite temperature) expectation values of local operators in integrable quantum field theories using a combination of numerical and analytical… Expand

Finite volume expectation values in the sine-Gordon model

- Physics, Mathematics
- 2019

Using the fermionic basis discovered in the 6-vertex model, we derive exact formulas for the expectation values of local operators of the sine-Gordon theory in any eigenstate of the Hamiltonian. We… Expand

Exact finite volume expectation values of local operators in excited states

- Physics, Mathematics
- 2014

A bstractWe present a conjecture for the exact expression of finite volume expectation values in excited states in integrable quantum field theories, which is an extension of an earlier conjecture to… Expand

On the finite volume expectation values of local operators in the sine-Gordon model

- Physics
- Nuclear Physics B
- 2019

Abstract In this paper we present sets of linear integral equations which make possible to compute the finite volume expectation values of the trace of the stress energy tensor (Θ) and the U ( 1 )… Expand

Norm of Bethe-wave functions in the continuum limit

- Physics, Mathematics
- 2018

Abstract 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… Expand

Comments on world-sheet form factors in AdS/CFT

- Mathematics, Physics
- 2014

We study form factors in the light-cone gauge world-sheet theory for strings in AdS5 ×S5. We perturbatively calculate the two-particle form factor in a closed sector to one-loop in the… Expand

#### References

SHOWING 1-10 OF 44 REFERENCES

Form factors in finite volume II: Disconnected terms and finite temperature correlators

- Physics
- 2008

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 with… Expand

One-point functions in massive integrable QFT with boundaries

- Physics
- 2010

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 and… Expand

On form factors in nested Bethe Ansatz systems

- Mathematics, Physics
- 2012

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 analytic… Expand

Form factor perturbation theory from finite volume

- Physics
- 2010

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 of… Expand

Boundary form-factors in finite volume

- Physics
- 2008

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, we… Expand

Finite volume form factors and correlation functions at finite temperature

- Physics
- 2009

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 expectation… Expand

Sine-Gordon form factors in finite volume

- Physics
- 2011

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 is… Expand

Form factors in finite volume I: Form factor bootstrap and truncated conformal space

- Physics
- 2008

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

- Physics
- 1998

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-linear… Expand

Numerical renormalization group for continuum one-dimensional systems.

- Physics, Medicine
- Physical review letters
- 2007

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