Standard

Six-vertex model on a finite lattice : Integral representations for nonlocal correlation functions. / Colomo, F.; Di Giulio, G.; Пронько, Андрей Георгиевич.

In: Nuclear Physics B, Vol. 972, 115535, 11.2021.

Research output: Contribution to journal › Article › peer-review

Harvard

Colomo, F, Di Giulio, G & Пронько, АГ 2021, 'Six-vertex model on a finite lattice: Integral representations for nonlocal correlation functions', Nuclear Physics B, vol. 972, 115535. https://doi.org/10.1016/j.nuclphysb.2021.115535

APA

Colomo, F., Di Giulio, G., & Пронько, А. Г. (2021). Six-vertex model on a finite lattice: Integral representations for nonlocal correlation functions. Nuclear Physics B, 972, [115535]. https://doi.org/10.1016/j.nuclphysb.2021.115535

Vancouver

Colomo F, Di Giulio G, Пронько АГ. Six-vertex model on a finite lattice: Integral representations for nonlocal correlation functions. Nuclear Physics B. 2021 Nov;972. 115535. https://doi.org/10.1016/j.nuclphysb.2021.115535

Author

Colomo, F. ; Di Giulio, G. ; Пронько, Андрей Георгиевич. / Six-vertex model on a finite lattice : Integral representations for nonlocal correlation functions. In: Nuclear Physics B. 2021 ; Vol. 972.

BibTeX

@article{dd0fe9afebaa4c909ea9148c632d24cc,
title = "Six-vertex model on a finite lattice: Integral representations for nonlocal correlation functions",
abstract = "We consider the problem of calculation of correlation functions in the six-vertex model with domain wall boundary conditions. To this aim, we formulate the model as a scalar product of off-shell Bethe states, and, by applying the quantum inverse scattering method, we derive three different integral representations for these states. By suitably combining such representations, and using certain antisymmetrization relation in two sets of variables, it is possible to derive integral representations for various correlation functions. In particular, focusing on the emptiness formation probability, besides reproducing the known result, obtained by other means elsewhere, we provide a new one. By construction, the two representations differ in the number of integrations and their equivalence is related to a hierarchy of highly nontrivial identities.",
author = "F. Colomo and {Di Giulio}, G. and Пронько, {Андрей Георгиевич}",
note = "Publisher Copyright: {\textcopyright} 2021 The Author(s)",
year = "2021",
month = nov,
doi = "10.1016/j.nuclphysb.2021.115535",
language = "English",
volume = "972",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Six-vertex model on a finite lattice

T2 - Integral representations for nonlocal correlation functions

AU - Colomo, F.

AU - Di Giulio, G.

AU - Пронько, Андрей Георгиевич

N1 - Publisher Copyright: © 2021 The Author(s)

PY - 2021/11

Y1 - 2021/11

N2 - We consider the problem of calculation of correlation functions in the six-vertex model with domain wall boundary conditions. To this aim, we formulate the model as a scalar product of off-shell Bethe states, and, by applying the quantum inverse scattering method, we derive three different integral representations for these states. By suitably combining such representations, and using certain antisymmetrization relation in two sets of variables, it is possible to derive integral representations for various correlation functions. In particular, focusing on the emptiness formation probability, besides reproducing the known result, obtained by other means elsewhere, we provide a new one. By construction, the two representations differ in the number of integrations and their equivalence is related to a hierarchy of highly nontrivial identities.

AB - We consider the problem of calculation of correlation functions in the six-vertex model with domain wall boundary conditions. To this aim, we formulate the model as a scalar product of off-shell Bethe states, and, by applying the quantum inverse scattering method, we derive three different integral representations for these states. By suitably combining such representations, and using certain antisymmetrization relation in two sets of variables, it is possible to derive integral representations for various correlation functions. In particular, focusing on the emptiness formation probability, besides reproducing the known result, obtained by other means elsewhere, we provide a new one. By construction, the two representations differ in the number of integrations and their equivalence is related to a hierarchy of highly nontrivial identities.

UR - http://www.scopus.com/inward/record.url?scp=85115183953&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2021.115535

DO - 10.1016/j.nuclphysb.2021.115535

M3 - Article

AN - SCOPUS:85115183953

VL - 972

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

M1 - 115535

ER -

ID: 91717021