Form factors of descendant operators in the Bullough-Dodd model

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Form factors of descendant operators in the Bullough-Dodd model. / Alekseev, Oleg.

In: Journal of High Energy Physics, Vol. 2013, No. 7, 112, 19.08.2013.

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

BibTeX

@article{48845e940d9243bab175ae35d2f2e6b5,

title = "Form factors of descendant operators in the Bullough-Dodd model",

abstract = "We propose a free field representation for the form factors of descendant operators in the Bullough-Dodd model. This construction is a particular modification of Lukyanov's technique for solving the form factors axioms. We prove that the number of proposed solutions in each level subspace of the chiral sectors coincide with the number of the corresponding descendant operators in the Lagrangian formalism. We check that these form factors possess the cluster factorization property. Besides, we propose an alternative free field representation which allows us to study analytic properties of the form factors effectively. In particular, we prove that the form factors satisfy non trivial identities known as the {"}reflection relations{"}. We show the existence of the reflection invariant basis in the level subspaces for a generic values of the parameters.",

keywords = "Field Theories in Lower Dimensions, Integrable Field Theories",

author = "Oleg Alekseev",

year = "2013",

month = aug,

day = "19",

doi = "10.1007/JHEP07(2013)112",

language = "English",

volume = "2013",

journal = "Journal of High Energy Physics",

issn = "1126-6708",

publisher = "Springer Nature",

number = "7",

}

RIS

TY - JOUR

T1 - Form factors of descendant operators in the Bullough-Dodd model

AU - Alekseev, Oleg

PY - 2013/8/19

Y1 - 2013/8/19

N2 - We propose a free field representation for the form factors of descendant operators in the Bullough-Dodd model. This construction is a particular modification of Lukyanov's technique for solving the form factors axioms. We prove that the number of proposed solutions in each level subspace of the chiral sectors coincide with the number of the corresponding descendant operators in the Lagrangian formalism. We check that these form factors possess the cluster factorization property. Besides, we propose an alternative free field representation which allows us to study analytic properties of the form factors effectively. In particular, we prove that the form factors satisfy non trivial identities known as the "reflection relations". We show the existence of the reflection invariant basis in the level subspaces for a generic values of the parameters.

AB - We propose a free field representation for the form factors of descendant operators in the Bullough-Dodd model. This construction is a particular modification of Lukyanov's technique for solving the form factors axioms. We prove that the number of proposed solutions in each level subspace of the chiral sectors coincide with the number of the corresponding descendant operators in the Lagrangian formalism. We check that these form factors possess the cluster factorization property. Besides, we propose an alternative free field representation which allows us to study analytic properties of the form factors effectively. In particular, we prove that the form factors satisfy non trivial identities known as the "reflection relations". We show the existence of the reflection invariant basis in the level subspaces for a generic values of the parameters.

KW - Field Theories in Lower Dimensions

KW - Integrable Field Theories

UR - http://www.scopus.com/inward/record.url?scp=84881453766&partnerID=8YFLogxK

U2 - 10.1007/JHEP07(2013)112

DO - 10.1007/JHEP07(2013)112

M3 - Article

AN - SCOPUS:84881453766

VL - 2013

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 7

M1 - 112

ER -

ID: 36351960