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Bethe ansatz and exact form factors of the \(O(6)\) Gross Neveu-model. (English) Zbl 1373.81273

MSC:
81T10 Model quantum field theories
82C23 Exactly solvable dynamic models in time-dependent statistical mechanics
81Q40 Bethe-Salpeter and other integral equations arising in quantum theory
81U20 \(S\)-matrix theory, etc. in quantum theory
81V25 Other elementary particle theory in quantum theory
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[1] Kulish P P and Nissimov E R 1976 Conservation laws in the quantum theory: cos phi in two-dimensions and in the massive thirring model JETP Lett.24 220-3
[2] Kulish P P and Nissimov E R 1976 Conservation laws in the quantum theory: cos phi in two-dimensions and in the massive thirring model Pisma Zh. Eksp. Teor. Fiz.24 247
[3] Ya I, Kulish P P, Nissimov E R and Pacheva S J 1978 Infinite set of conservation laws of the quantum chiral field in two-dimensional space-time Preprint: LOMI-E-1-1978
[4] Kulish P P 1976 Factorization of the classical and quantum s matrix and conservation law Theor. Math. Phys.26 132
[5] Kulish P P 1976 Factorization of the classical and quantum s matrix and conservation law Teor. Mat. Fiz.26 198
[6] Kulish P P and Yu N 1983 Diagonalization of GL(N) invariant transfer matrices and quantum N wave system (Lee Model) J. Phys. A: Math. Gen.16 L591-6
[7] Babujian H, Karowski M and Zapletal A 1997 Matrix difference equations and a nested Bethe ansatz J. Phys. A: Math. Gen.30 6425-50
[8] Babujian H M, Foerster A and Karowski M 2008 The nested SU(N) off-shell Bethe ansatz and exact form factors J. Phys. A: Math. Theor.41 275202
[9] Babujian H M, Foerster A and Karowski M 2006 The form factor program: a review and new results- the nested SU(N) off-shell Bethe ansatz SIGMA2 16
[10] Babujian H M, Foerster A and Karowski M 2010 Exact form factors of the SU(N) Gross-Neveu model and 1/N expansion Nucl. Phys. B 825 396-425
[11] Babujian H M, Foerster A and Karowski M 2012 The nested off-shell Bethe ansatz and O(N) matrix difference equations (arXiv:1204.3479)
[12] Babujian H M, Foerster A and Karowski M 2013 Exact form factors of the O(N) σ-model J. High Energy Phys.JHEP11(2013) 089
[13] Babujian H M, Foerster A and Karowski M 2016 Bethe ansatz and exact form factors of the O(N) Gross Neveu-model J. High Energy Phys.JHEP02(2016) 042
[14] Aharony O, Gubser S S, Maldacena J M, Ooguri H and Oz Y 2000 Large N field theories, string theory and gravity Phys. Rep.323 183-386
[15] Kazakov V and Zarembo K 2004 Classical/quantum integrability in non-compact sector of AdS/CFT J. High Energy Phys.JHEP10(2004) 060
[16] Karowski M and Thun H J 1981 Complete S matrix of the O(2N) Gross-Neveu model Nucl. Phys. B 190 61-92
[17] Babujian H M, Foerster A and Karowski M 2006 The nested SU(N) off-shell Bethe ansatz and exact form factors (arXiv:hep-th/0611012)
[18] Babujian H M, Foerster A and Karowski M 2008 The form factor program: a review and new results, the nested SU(N) off-shell Bethe ansatz and the 1/N expansion Theor. Math. Phys.155 512-22
[19] Berg B, Karowski M, Weisz P and Kurak V 1978 Factorized U(n) symmetric s matrices in two-dimensions Nucl. Phys. B 134 125-32
[20] Berg B and Weisz P 1978 Exact S matrix of the chiral invariant SU(N) thirring model Nucl. Phys. B 146 205-14
[21] Koberle R, Kurak V and Swieca J A 1979 Scattering theory and 1/N expansion in the chiral Gross-Neveu model Phys. Rev. D 20 897
[22] Koberle R, Kurak V and Swieca J A 1979 Scattering theory and 1/N expansion in the chiral Gross-Neveu model Phys. Rev. D 20 2638 (erratum)
[23] Kurak V and Swieca J A 1979 Anti-particles as bound states of particles in the factorized S matrix framework Phys. Lett. B 82 289-91
[24] Zamolodchikov A B and Zamolodchikov A B 1978 Exact S matrix of cross-neveu elementary fermions Phys. Lett. B 72 481-3
[25] Karowski M 1979 On the bound state problem in (1 + 1)-dimensional field theories Nucl. Phys. B 153 244-52
[26] Karowski M and Weisz P 1978 Exact form-factors in (1 + 1)-dimensional field theoretic Models with Soliton Behavior Nucl. Phys. B 139 455-76
[27] Smirnov F 1992 Form Factors in Completely Integrable Models of Quantum Field Theory(Advanced Series in Mathematical Physics vol 14) (Singapore: World Scientific)
[28] Babujian H and Karowski M 2002 Exact form-factors in integrable quantum field theories: the sine-Gordon model. 2 Nucl. Phys. B 620 407-55
[29] http://mathworld.wolfram.com/barnesg-function
[30] Babujian H M, Fring A, Karowski M and Zapletal A 1999 Exact form-factors in integrable quantum field theories: the Sine-Gordon model Nucl. Phys. B 538 535-86
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