Non linear integral equation and excited--states scaling functions in the sine-Gordon model

Details Non linear integral equation and excited--states scaling functions in the sine-Gordon model Non linear integral equation and excited--states scaling functions in the sine-Gordon model

1997-01-21

arxiv.org/abs/hep-th/9701107v2

Nucl.Phys. B504 (1997) 621-664

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 40 pages, 4 figures in a tar.Z file (3 figures added and few misprints corrected w.r.t. previous version)

Scientific paper

10.1016/S0550-3213(97)00468-9

The NLIE (the non-linear integral equation equivalent to the Bethe Ansatz equations for finite size) is generalized to excited states, that is states with holes and complex roots over the antiferromagnetic ground state. We consider the sine-Gordon/massive Thirring model (sG/mT) in a periodic box of length $L$ using the light-cone approach, in which the sG/mT model is obtained as the continuum limit of an inhomogeneous six vertex model. This NLIE is an useful starting point to compute the spectrum of excited states both analytically in the large $L$ (perturbative) and small $L$ (conformal) regimes as well as numerically.

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