Asymptotic factorization of n-particle SU(N) form factors

Abstract

We investigate the high energy behavior of the SU(N) chiral Gross-Neveu model in 1 + 1 dimensions. The model is integrable and matrix elements of several local operators (form factors) are known exactly. The form factors show rapidity space clustering, which means factorization, if a group of rapidities is shifted to infinity. We analyze this phenomenon for the SU(N) model. For several operators the factorization formulas are presented explicitly.

41 pages. Minor changes, additional references. This article draws from arXiv:0907.0662, arXiv:hep-th/0611012 and arXiv:hep-th/0609130

References in corpus (4)

• HERA data and collinearly-improved BK dynamics
• Exact form factors of the SU(N) Gross-Neveu model and 1/N expansion
• The nested SU(N) off-shell Bethe ansatz and exact form factors
• Construction and clustering properties of the 2-d non-linear sigma-model form factors: O(3), O(4), large n examples

Cited by in corpus (1)

• Quantum energy inequalities in integrable models with several particle species and bound states