The nestedSU(N) off-shell Bethe ansatz and exact form factors

Abstract

The form factor equations are solved for a SU (N) invariant S-matrix under the assumption that the anti-particle is identified with the bound state of N − 1 particles. The solution is obtained explicitly in terms of the nested off-shell Bethe ansatz where the contribution from each level is written in terms of multiple contour integrals. The general solution is illustrated for some operators, such as the energy-momentum tensor, the fields and the current.

Correlation functions of theSU(∞)principal chiral model

“…Our result cannot completely fully determine these effective actions, as we only have correlation functions of two operators. Higher-point correlation functions are harder to determine, because there are "disconnected" pieces in form-factor expansions of these functions, which must be subtracted [11]. We believe that this obstacle is surmountable, however.…”

“…The large-N result is confirmed by taking the limit. Some progress has been made for the SU(N ) chiral Gross-Neveu model [11]. It has recently been pointed out [12] that the latter model has a free-field representation for the Zamolodchikov-Faddeev algebra [13].…”

Surface energy of the one-dimensional supersymmetric t − J model with unparallel boundary fields

“…For simplicity, we introduce two new parameters θ and ϕ which satisfy 20) and other two new parameters θ ′ and ϕ ′ which satisfy…”

Exact form factors of the Gross–Neveu model and expansion

“…The "off-shell"version of this nested algebraic Bethe ansatz was later developed in [5] to solve matrix difference equations. This technique was applied in [6,7,8] to construct form factors for the SU(N) chiral Gross-Neveu model.…”

“…Our results are related to the N = 4 supersymmetric Yang-Mills (SYM) theory. It is known that the O (6) or SU(4) Bethe ansatz structure is connected to the N = 4 SYM theory, which, in turn, is equivalent by the AdS/CFT conjecture to the super-string theory on the product space AdS 5 × S 5 . This equivalence means that there is a oneto-one correspondence between all aspects of the theories including the global symmetry observables and the field content with correlation functions.…”