4.4 Article

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

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 6, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP06(2021)032

Keywords

Bethe Ansatz; Field Theories in Lower Dimensions; Integrable Field Theories; Lattice Integrable Models

Funding

  1. Armenian State Committee of Science [18T-1C-340, 191T-008, 20RF-142]
  2. DAAD (Deutscher Akademischer Austauschdienst)
  3. CNPq (Conselho Nacional de Desenvolvimento Cientifico e Tecnologico)

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The high energy behavior of the SU(N) chiral Gross-Neveu model in 1 + 1 dimensions was investigated, showing that the model is integrable and matrix elements of several local operators (form factors) are known. The form factors exhibit rapidity space clustering, indicating factorization when a group of rapidities is shifted to infinity, and explicit factorization formulas are presented for several operators in the SU(N) model.
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.

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