TY - JOUR

T1 - Form factors in the Bullough-Dodd related models

T2 - The Ising model in a magnetic field

AU - Alekseev, O. V.

PY - 2012/4/1

Y1 - 2012/4/1

N2 - A particular modification of the free-field representation of the form factors in the Bullough-Dodd model is considered. The two-particles minimal form factors are excluded from the construction. As a consequence, a convenient representation for the multiparticle form factors has been obtained, recurrence relations between them have been established, and their properties have been studied. The proposed construction is used to obtain the free-field representation of the lightest particles form factors in the Φ 1, 2 perturbed minimal models. The Ising model in a magnetic field is considered as a significant example. The results obtained in the framework of the proposed free-field representation are in agreement with the corresponding results obtained by solving the bootstrap equations.

AB - A particular modification of the free-field representation of the form factors in the Bullough-Dodd model is considered. The two-particles minimal form factors are excluded from the construction. As a consequence, a convenient representation for the multiparticle form factors has been obtained, recurrence relations between them have been established, and their properties have been studied. The proposed construction is used to obtain the free-field representation of the lightest particles form factors in the Φ 1, 2 perturbed minimal models. The Ising model in a magnetic field is considered as a significant example. The results obtained in the framework of the proposed free-field representation are in agreement with the corresponding results obtained by solving the bootstrap equations.

UR - http://www.scopus.com/inward/record.url?scp=84860120238&partnerID=8YFLogxK

U2 - 10.1134/S0021364012040030

DO - 10.1134/S0021364012040030

M3 - Article

AN - SCOPUS:84860120238

VL - 95

SP - 201

EP - 205

JO - JETP Letters

JF - JETP Letters

SN - 0021-3640

IS - 4

ER -