Form factors from free fermionic Fock fields, the Federbush model

Details Form factors from free fermionic Fock fields, the Federbush model Form factors from free fermionic Fock fields, the Federbush model

2001-07-03

arxiv.org/abs/hep-th/0107015v2

Nucl.Phys. B618 (2001) 437-464

Physics

High Energy Physics

High Energy Physics - Theory

30 pages Latex, one section added

Scientific paper

10.1016/S0550-3213(01)00462-X

By representing the field content as well as the particle creation operators in terms of fermionic Fock operators, we compute the corresponding matrix elements of the Federbush model. Only when these matrix elements satisfy the form factor consistency equations involving anyonic factors of local commutativity, the corresponding operators are local. We carry out the ultraviolet limit, analyze the momentum space cluster properties and demonstrate how the Federbush model can be obtained from the $SU(3)_3$-homogeneous sine-Gordon model. We propose a new Lagrangian which on one hand constitutes a generalization of the Federbush model in a Lie algebraic fashion and on the other a certain limit of the homogeneous sine-Gordon models.

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