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Form factors in the Bullough-Dodd-related models : The Ising model in a magnetic field. / Alekseev, O. V.

In: Theoretical and Mathematical Physics, Vol. 173, No. 2, 01.11.2012, p. 1518-1540.

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

Harvard

Alekseev, OV 2012, 'Form factors in the Bullough-Dodd-related models: The Ising model in a magnetic field', Theoretical and Mathematical Physics, vol. 173, no. 2, pp. 1518-1540. https://doi.org/10.1007/s11232-012-0131-5

APA

Alekseev, O. V. (2012). Form factors in the Bullough-Dodd-related models: The Ising model in a magnetic field. Theoretical and Mathematical Physics, 173(2), 1518-1540. https://doi.org/10.1007/s11232-012-0131-5

Vancouver

Alekseev OV. Form factors in the Bullough-Dodd-related models: The Ising model in a magnetic field. Theoretical and Mathematical Physics. 2012 Nov 1;173(2):1518-1540. https://doi.org/10.1007/s11232-012-0131-5

Author

Alekseev, O. V. / Form factors in the Bullough-Dodd-related models : The Ising model in a magnetic field. In: Theoretical and Mathematical Physics. 2012 ; Vol. 173, No. 2. pp. 1518-1540.

BibTeX

@article{f965f2c1b8b14dce9b6e93a753f53472,
title = "Form factors in the Bullough-Dodd-related models: The Ising model in a magnetic field",
abstract = "We consider a certain modification of the free-field representation of the form factors in the Bullough-Dodd model. The two-particle minimal form factors are eliminated from the construction. We consequently obtain a convenient representation for the multiparticle form factors, establish recurrence relations between them, and study their properties. We use the proposed construction to obtain the free-field representation of form factors for the lightest particles in the Φ1,2-perturbed minimal models. As an important example, we consider the Ising model in a magnetic field. We verify that the results obtained in the framework of the proposed free-field representation agree with the corresponding results obtained by solving the bootstrap equations.",
keywords = "free-field representation, integrable field theory, Ising model",
author = "Alekseev, {O. V.}",
year = "2012",
month = nov,
day = "1",
doi = "10.1007/s11232-012-0131-5",
language = "English",
volume = "173",
pages = "1518--1540",
journal = "Theoretical and Mathematical Physics (Russian Federation)",
issn = "0040-5779",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Form factors in the Bullough-Dodd-related models

T2 - The Ising model in a magnetic field

AU - Alekseev, O. V.

PY - 2012/11/1

Y1 - 2012/11/1

N2 - We consider a certain modification of the free-field representation of the form factors in the Bullough-Dodd model. The two-particle minimal form factors are eliminated from the construction. We consequently obtain a convenient representation for the multiparticle form factors, establish recurrence relations between them, and study their properties. We use the proposed construction to obtain the free-field representation of form factors for the lightest particles in the Φ1,2-perturbed minimal models. As an important example, we consider the Ising model in a magnetic field. We verify that the results obtained in the framework of the proposed free-field representation agree with the corresponding results obtained by solving the bootstrap equations.

AB - We consider a certain modification of the free-field representation of the form factors in the Bullough-Dodd model. The two-particle minimal form factors are eliminated from the construction. We consequently obtain a convenient representation for the multiparticle form factors, establish recurrence relations between them, and study their properties. We use the proposed construction to obtain the free-field representation of form factors for the lightest particles in the Φ1,2-perturbed minimal models. As an important example, we consider the Ising model in a magnetic field. We verify that the results obtained in the framework of the proposed free-field representation agree with the corresponding results obtained by solving the bootstrap equations.

KW - free-field representation

KW - integrable field theory

KW - Ising model

UR - http://www.scopus.com/inward/record.url?scp=84870758060&partnerID=8YFLogxK

U2 - 10.1007/s11232-012-0131-5

DO - 10.1007/s11232-012-0131-5

M3 - Article

AN - SCOPUS:84870758060

VL - 173

SP - 1518

EP - 1540

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 2

ER -

ID: 36352009