Scaling Functions in the Odd Charge Sector of Sine-Gordon/Massive Thirring Theory

Details Scaling Functions in the Odd Charge Sector of Sine-Gordon/Massive Thirring Theory Scaling Functions in the Odd Charge Sector of Sine-Gordon/Massive Thirring Theory

1998-07-21

arxiv.org/abs/hep-th/9807160v2

Phys.Lett. B444 (1998) 442-450

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, 12 pp., 3 eps figs. Remarks on locality added

Scientific paper

10.1016/S0370-2693(98)01406-3

A non-linear integral equation (NLIE) governing the finite size effects of excited states of even topological charge in the sine-Gordon (sG) / massive Thirring (mTh) field theory, deducible from a light-cone lattice formulation of the model, has been known for some time. In this letter we conjecture an extension of this NLIE to states with odd topological charge, thus completing the spectrum of the theory. The scaling functions obtained as solutions to our conjectured NLIE are compared successfully with Truncated Conformal Space data and the construction is shown to be compatible with all other facts known about the local Hilbert spaces of sG and mTh models. With the present results we have achieved a full control over the finite size behaviour of energy levels of sG/mTh theory.

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