Bethe Ansatz and exact form factors of the O(N) Gross Neveu-model

Abstract

We apply previous results on the O(N) Bethe Ansatz [1 to 3] to construct a general form factor formula for the O(N) Gross-Neveu model. We examine this formula for several operators, such as the energy momentum, the spin-field and the current. We also compare these results with the 1/N expansion of this model and obtain full agreement. We discuss bound state form factors, in particular for the three particle form factor of the field. In addition for the two particle case we prove a recursion relation for the K-functions of the higher level Bethe Ansatz.

33 pages, minor corrections, some references have been included, published version. This article draws from arXiv:1308.1459 and arXiv:1204.3479

References in corpus (6)

• Space-time S-matrix and Flux-tube S-matrix IV. Gluons and Fusion
• GL(3)-Based Quantum Integrable Composite Models. II. Form Factors of Local Operators
• GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors
• Form factors of local operators in a one-dimensional two-component Bose gas
• The nested SU(N) off-shell Bethe ansatz and exact form factors
• The Nested Off-shell Bethe ansatz and O(N) Matrix Difference Equations

Cited by in corpus (6)

• Nested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains
• Free field representation of the ZF algebra of the SU(N)xSU(N) PCF model
• Scalar products and norm of Bethe vectors in ${\mathfrak{o}}_{2n+1}$ invariant integrable models
• Form factors of the O(6) Gross Neveu-model
• Probing the chiral and $U(1)$ axial symmetry restoration via meson susceptibilities in holographic QCD
• Quantum Integrability and Quantum Groups: a special issue in memory of Petr P. Kulish