Form factors of twist fields in the lattice Dirac theory

P. Gavrylenko; N. Iorgov; O. Lisovyy

doi:10.1088/1751-8113/45/2/025402

Form factors of twist fields in the lattice Dirac theory

P. Gavrylenko
, N. Iorgov
, O. Lisovyy

Mathematics

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

Abstract

We study U(1) twist fields in a two-dimensional lattice theory of massive Dirac fermions. Factorized formulas for finite-lattice form factors of these fields are derived using elliptic parametrization of the spectral curve of the model, elliptic determinant identities and theta functional interpolation. We also investigate the thermodynamic and the infinite-volume scaling limit, where the corresponding expressions reduce to form factors of the exponential fields of the sine-Gordon model at the free-fermion point.

Original language	English
Journal	J. Phys. A: Math. Theor.
DOIs	https://doi.org/10.1088/1751-8113/45/2/025402
Publication status	Published - 16 Aug 2011

Bibliographical note

20 pages, 2 figures

Keywords

hep-th

Access to Document

10.1088/1751-8113/45/2/025402

1108.3290v1

Cite this

@article{c9347db1074e4aeaaf222f999334e8ff,

title = "Form factors of twist fields in the lattice Dirac theory",

abstract = "We study U(1) twist fields in a two-dimensional lattice theory of massive Dirac fermions. Factorized formulas for finite-lattice form factors of these fields are derived using elliptic parametrization of the spectral curve of the model, elliptic determinant identities and theta functional interpolation. We also investigate the thermodynamic and the infinite-volume scaling limit, where the corresponding expressions reduce to form factors of the exponential fields of the sine-Gordon model at the free-fermion point.",

keywords = "hep-th",

author = "P. Gavrylenko and N. Iorgov and O. Lisovyy",

note = "20 pages, 2 figures",

year = "2011",

month = aug,

day = "16",

doi = "10.1088/1751-8113/45/2/025402",

language = "English",

journal = "J. Phys. A: Math. Theor.",

}

TY - JOUR

T1 - Form factors of twist fields in the lattice Dirac theory

AU - Gavrylenko, P.

AU - Iorgov, N.

AU - Lisovyy, O.

N1 - 20 pages, 2 figures

PY - 2011/8/16

Y1 - 2011/8/16

N2 - We study U(1) twist fields in a two-dimensional lattice theory of massive Dirac fermions. Factorized formulas for finite-lattice form factors of these fields are derived using elliptic parametrization of the spectral curve of the model, elliptic determinant identities and theta functional interpolation. We also investigate the thermodynamic and the infinite-volume scaling limit, where the corresponding expressions reduce to form factors of the exponential fields of the sine-Gordon model at the free-fermion point.

AB - We study U(1) twist fields in a two-dimensional lattice theory of massive Dirac fermions. Factorized formulas for finite-lattice form factors of these fields are derived using elliptic parametrization of the spectral curve of the model, elliptic determinant identities and theta functional interpolation. We also investigate the thermodynamic and the infinite-volume scaling limit, where the corresponding expressions reduce to form factors of the exponential fields of the sine-Gordon model at the free-fermion point.

KW - hep-th

U2 - 10.1088/1751-8113/45/2/025402

DO - 10.1088/1751-8113/45/2/025402

M3 - Article

JO - J. Phys. A: Math. Theor.

JF - J. Phys. A: Math. Theor.

ER -

Form factors of twist fields in the lattice Dirac theory

Abstract

Bibliographical note

Keywords

Access to Document

Fingerprint

Cite this