Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Form factors of descendant operators in the Bullough-Dodd model. / Alekseev, Oleg.
в: Journal of High Energy Physics, Том 2013, № 7, 112, 19.08.2013.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
}
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