Abstract:
The purpose of the "bootstrap program" for integrable quantum field theories
in $1{+}1$ dimensions is to construct a model explicitly in terms of its
Wightman functions. We illustrate this program here mainly in terms of
the $SU(N)$ Gross–Neveu model. We construct the nested off-shell Bethe ansatz
for an $SU(N)$ factoring $S$-matrix and consider the problem of how to sum
over intermediate states in the short-distance limit of the two-point
Wightman function for the sinh-Gordon model.
Keywords:
integrable quantum field theory, form factor.
Citation:
H. M. Babujian, A. Foerster, M. Karowski, “The form factor program: A review and new results, the nested
$SU(N)$ off-shell Bethe ansatz and the $1/N$ expansion”, TMF, 155:1 (2008), 13–24; Theoret. and Math. Phys., 155:1 (2008), 512–522
This publication is cited in the following 8 articles:
Alessandro Torrielli, “A study of form factors in relativistic mixed-flux AdS3”, J. High Energ. Phys., 2024:3 (2024)
Henning Bostelmann, Daniela Cadamuro, Jan Mandrysch, “Quantum Energy Inequalities in Integrable Models with Several Particle Species and Bound States”, Ann. Henri Poincaré, 2024
Jan Mandrysch, “Numerical results on quantum energy inequalities in integrable models at the two-particle level”, Phys. Rev. D, 109:8 (2024)
Daniele Bielli, Vaibhav Gautam, Alessandro Torrielli, “A study of integrable form factors in massless relativistic AdS2”, J. High Energ. Phys., 2023:6 (2023)
Alessandro Torrielli, “A study of integrable form factors in massless relativistic AdS
3”, J. Phys. A: Math. Theor., 55:17 (2022), 175401
Garcia Juan Miguel Nieto, Torrielli A., “Norms and Scalar Products For Ads(3)”, J. Phys. A-Math. Theor., 53:14 (2020), 145401
Babujian H.M., Foerster A., Karowski M., “Bethe Ansatz and Exact Form Factors of the O(6) Gross Neveu-Model”, J. Phys. A-Math. Theor., 50:33 (2017), 334003
Babujian H.M. Foerster A. Karowski M., “Bethe Ansatz and Exact Form Factors of the O(N) Gross Neveu-Model”, J. High Energy Phys., 2016, no. 2, 042