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

Nuclear Physics B

Volumn 825, Issue 3, 2010, Pages 396-425

  Babujian, Hrachya M ^a   Foerster, Angela ^b   Karowski, Michael ^c  

^a YEREVAN PHYSICS INSTITUTE   (Armenia)

^b FEDERAL UNIVERSITY OF RIO GRANDE DO SUL   (Brazil)

^c FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

Form factors; Integrable quantum field theory

Indexed keywords

EID: 71549164613     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2009.09.023     Document Type: Article

References (34)

1. 't Hooft G. A planar diagram theory for strong interactions. Nucl. Phys. B 72 (1974) 461-473
2. 't Hooft G. A two-dimensional model for mesons. Nucl. Phys. B 75 (1974) 461-470
3. Manohar A.V. Large N QCD (1998). arXiv:hep-ph/9802419v1
4. Gross D.J., and Neveu A. Dynamical symmetry breaking in asymptotically free field theories. Phys. Rev. D 10 (1974) 3235
5. Witten E. Chiral symmetry, the 1 / N expansion, and the SU (N) Thirring model. Nucl. Phys. B 145 (1978) 110
6. Kurak V., and Swieca J.A. Anti-particles as bound states of particles in the factorized S-matrix framework. Phys. Lett. B 82 (1979) 289-291
7. Abdalla E., Berg B., and Weisz P. More about the S-matrix of the chiral SU (N) Thirring model. Nucl. Phys. B 157 (1979) 387-391
8. Köberle R., Kurak V., and Swieca J.A. Scattering theory and 1 / N expansion in the chiral Gross-Neveu model. Phys. Rev. D 20 (1979) 897-902
9. Abdalla E., Abdalla M.C.B., and Rothe K.D. Nonperturbative Methods in Two-Dimensional Quantum Field Theory (2001), World Scientific, Singapore p. 832
10. Karowski M. Exact S matrices and form-factors in (1 + 1)-dimensional field theoretic models with soliton behavior. Phys. Rep. 49 (1979) 229-237
11. Karowski M. The bootstrap program for (1 + 1)-dimensional field theoretic models with soliton behavior. In: Rühl W. (Ed) (1980), Field Theoretic Methods in Particle Physics, Plenum, New York 307-324 presented at Kaiserslautern NATO Inst., 1979
12. Karowski M., and Weisz P. Exact form factors in (1 + 1)-dimensional field theoretic models with soliton behavior. Nucl. Phys. B 139 (1978) 455-476
13. Babujian H.M., Foerster A., and Karowski M. The nested SU (N) off-shell Bethe ansatz and exact form factors. J. Phys. A 41 (2008) 275202
14. Smirnov F. Form Factors in Completely Integrable Models of Quantum Field Theory. Adv. Series in Math. Phys. vol. 14 (1992), World Scientific
15. Nakayashiki A., and Takeyama Y. On form factors of SU (2) invariant Thirring model (2001). math-ph/0105040
16. Takeyama Y. Form factors of SU (N) invariant Thirring model. Publ. Res. Inst. Math. Sci. Kyoto 39 (2003) 59-116
17. Mukhin E., Tarasov V., and Varchenko A. Bethe eigenvectors of higher transfer matrices (2006). math.QA/0605015
18. Pakuliak S. Weight functions and nested Bethe ansatz. Ann. Henri Poincaré 7 (2007) 1541-1554
19. Berg B., Karowski M., Kurak V., and Weisz P. Factorized U (n) symmetric S matrices in two-dimensions. Nucl. Phys. B 134 (1978) 125-132
20. Berg B., and Weisz P. Exact S-matrix of the chiral invariant SU (N) Thirring model. Nucl. Phys. B 146 (1978) 205-214
21. Karowski M. On the bound state problem in (1 + 1)-dimensional field theories. Nucl. Phys. B 153 (1979) 244-252
22. Babujian H.M. Correlation function in WZNW model as a Bethe wave function for the Gaudin magnetics. Gosen 1990, Proceedings, Theory of elementary particles vol. 12257 (1990) 12-23 see high energy physics index 29 (1991)
23. Babujian H., Karowski M., and Zapletal A. Matrix difference equations and a nested Bethe ansatz. J. Phys. A 30 (1997) 6425-6450
24. Faddeev L.D., Sklyanin E.K., and Takhtajan L.A. The quantum inverse problem method. 1. Theor. Math. Phys. 40 (1980) 688-706
25. Takhtajan L.A., and Faddeev L.D. The quantum method of the inverse problem and the Heisenberg XYZ model. Russ. Math. Surveys 34 (1979) 11-68
26. Karowski M., and Thun H.J. Complete S matrix of the O (2 N) Gross-Neveu model. Nucl. Phys. B 190 (1981) 61-92
27. Babujian H.M., Fring A., Karowski M., and Zapletal A. Exact form factors in integrable quantum field theories: The sine-Gordon model. Nucl. Phys. B 538 (1999) 535-586
28. Babujian H., and Karowski M. Exact form factors in integrable quantum field theories: The sine-Gordon model. II. Nucl. Phys. B 620 (2002) 407-455
29. Babujian H., and Karowski M. Sine-Gordon form factors and quantum field equations. J. Phys. A 35 (2002) 9081-9104
30. Babujian H., and Karowski M. Exact form factors for the scaling Z (N)-Ising and the affine A (N - 1) Toda quantum field theories. Phys. Lett. B 575 (2003) 144-150
31. Babujian H., Foerster A., and Karowski M. Exact form factors in integrable quantum field theories: The scaling Z (N)-Ising model. Nucl. Phys. B 736 (2006) 169-198
32. Babujian H., Karowski M., and Zapletal A. U (N) matrix difference equations and a nested Bethe ansatz (1996). hep-th/9611006
33. Köberle R., Kurak V., and Swieca J.A. Erratum: Scattering theory and 1 / N expansion in the chiral Gross-Neveu model. Phys. Rev. D 20 (1979) 2638
34. Konik R., and Ludwig A.W.W. Exact zero temperature correlation functions for two leg Hubbard ladders and carbon nanotubes (1998). cond-mat/9810332