Geodesic
Form factors in the~Bullough--Dodd-related models: The~Ising model in
Teoretičeskaâ i matematičeskaâ fizika, Tome 173 (2012) no. 2, pp. 219-244

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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 $\Phi_{1,2}$-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: integrable field theory, Ising model, free-field representation. 
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     author = {O. V. Alekseev},
     title = {Form factors in {the~Bullough--Dodd-related} models: {The~Ising} model in},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {219--244},
     publisher = {mathdoc},
     volume = {173},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2012_173_2_a3/}
}
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O. V. Alekseev. Form factors in the~Bullough--Dodd-related models: The~Ising model in. Teoretičeskaâ i matematičeskaâ fizika, Tome 173 (2012) no. 2, pp. 219-244. http://geodesic.mathdoc.fr/item/TMF_2012_173_2_a3/