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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 disconnected pieces. Numerical verification of our…

High Energy Physics - Theory · Physics 2008-11-26 B. Pozsgay , G. Takacs

We developed the theory of finite volume form factors in the presence of integrable defects. These finite volume form factors are expressed in terms of the infinite volume form factors and the finite volume density of states and incorporate…

High Energy Physics - Theory · Physics 2014-04-02 Z. Bajnok , F. Buccheri , L. Hollo , J. Konczer , G. Takacs

We consider finite volume (or equivalently, finite temperature) expectation values of local operators in integrable quantum field theories using a combination of numerical and analytical approaches. It is shown that the truncated conformal…

High Energy Physics - Theory · Physics 2015-06-15 I. M. Szécsényi , G. Takács , G. M. T. Watts

We develop a new method to calculate finite size corrections for form factors in two-dimensional integrable quantum field theories. We extract these corrections from the excited state expectation value of bilocal operators in the limit when…

High Energy Physics - Theory · Physics 2024-02-15 Zoltan Bajnok , Georgios Linardopoulos , István M. Szécsényi , Istvan Vona

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 multi-dimensional residues) to the form…

High Energy Physics - Theory · Physics 2011-03-28 B. Pozsgay , G. Takacs

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). Using the scaling Lee-Yang model and the Ising…

High Energy Physics - Theory · Physics 2008-11-26 B. Pozsgay , G. Takacs

We study the form factors of local operators of integrable QFT's between states with finite energy density. These states arise, for example, at finite temperature, or from a generalized Gibbs ensemble. We generalize Smirnov's form factor…

High Energy Physics - Theory · Physics 2019-01-23 Axel Cortés Cubero , Miłosz Panfil

We review the concept of finite-temperature form factor that was introduced recently by the author in the context of the Majorana theory. Finite-temperature form factors can be used to obtain spectral decompositions of finite-temperature…

High Energy Physics - Theory · Physics 2008-12-19 Benjamin Doyon

We 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 generalization of the LeClair-Mussardo series, which is a form…

High Energy Physics - Theory · Physics 2015-06-15 B. Pozsgay

We analyze the effect of a finite volume on the thermodynamic potentials of a relativistic quantum field theory defined on a hypertorus at vanishing chemical potential. Using the symmetries of the Euclidean partition function, we interpret…

High Energy Physics - Theory · Physics 2009-07-28 Harvey B. Meyer

We 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 in terms of the connected diagonal matrix…

Strongly Correlated Electrons · Physics 2015-06-18 Francesco Buccheri , Gabor Takacs

We propose a method for calculating dynamical correlation functions at finite temperature in integrable lattice models of Yang-Baxter type. The method is based on an expansion of the correlation functions as a series over matrix elements of…

Statistical Mechanics · Physics 2020-08-04 Frank Göhmann , Michael Karbach , Andreas Klümper , Karol K. Kozlowski , Junji Suzuki

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 extending the boundary state formalism to…

High Energy Physics - Theory · Physics 2011-07-28 M. Kormos , B. Pozsgay

Finite temperature correlation functions in integrable quantum field theories are formulated only in terms of the usual, temperature-independent form factors, and certain thermodynamic filling fractions which are determined from the…

High Energy Physics - Theory · Physics 2009-10-31 A. Leclair , G. Mussardo

Spatially non-local matrix elements are useful lattice-QCD observables in a variety of contexts, for example in determining hadron structure. To quote credible estimates of the systematic uncertainties in these calculations, one must…

High Energy Physics - Lattice · Physics 2018-11-06 Raúl A. Briceño , Juan V. Guerrero , Maxwell T. Hansen , Christopher J. Monahan

This thesis presents L\"uscher's $\mu$- and $F$-term corrections to volume dependence of non-diagonal finite volume form factors in the scaling Lee-Yang model. An explicit calculation proves the suspected relation that the $\mu$-terms known…

High Energy Physics - Theory · Physics 2019-08-29 Istvan Vona

We investigate proposals of how the form factor approach to compute correlation functions at zero temperature can be extended to finite temperature. For the two-point correlation function we conclude that the suggestion to use the usual…

High Energy Physics - Theory · Physics 2015-06-26 O. A. Castro-Alvaredo , A. Fring

We propose an approach to the problem of finite temperature dynamical correlation functions in integrable one-dimensional models with a spectral gap. The approach is based on the analysis of the singularities of the operator matrix elements…

Statistical Mechanics · Physics 2007-05-23 B. L. Altshuler , A. M. Tsvelik

We derive the leading exponential finite volume corrections in two dimensional integrable models for non-diagonal form factors in diagonally scattering theories. These formulas are expressed in terms of the infinite volume form factors and…

High Energy Physics - Theory · Physics 2019-09-04 Zoltan Bajnok , Marton Lajer , Balint Szepfalvi , Istvan Vona

The form factors of integrable models in finite volume are studied. We construct the explicite representations for the form factors in terms of determinants.

Mathematical Physics · Physics 2009-10-31 V. E. Korepin , N. A. Slavnov
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