Exact form factors of the SU(N) Gross–Neveu model and 1/N expansion

2009/07/31 by Hrachya M. Babujian, Hrachya Babujian, Angela Foerster +1 · 4 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Commutation #Fermion #Field (mathematics) #Gross–Neveu model #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2009.09.023

published as Nucl.Phys.B825:396-425,2010 · 35 pages Published version of the paper, which includes minor corrections and improved acknowledgements

openalex publication_date 2009/09/23 · arxiv created 2009/11/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The general SU(N) form factor formula is constructed. Exact form factors for the field, the energy momentum and the current operators are derived and compared with the 1/N-expansion of the chiral Gross-Neveu model and full agreement is found. As an application of the form factor approach the equal time commutation rules of arbitrary local fields are derived and in general anyonic behavior is found.

Citations

• Quantum inverse problem method. I
• THE QUANTUM METHOD OF THE INVERSE PROBLEM AND THE HEISENBERG XYZ MODEL
• A planar diagram theory for strong interactions

Cited by

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• Exact form factors of the O(N) σ-model
• 1/Nexpansion in noncommutative quantum mechanics
• On the calculation of the correlation functions of the s l 3 -model by means of the reduced qKZ equation