Angular Quantization of the Sine-Gordon Model at the Free Fermion Point

Details Angular Quantization of the Sine-Gordon Model at the Free Fermion Point Angular Quantization of the Sine-Gordon Model at the Free Fermion Point

1999-04-11

arxiv.org/abs/hep-th/9904082v3

Adv.Theor.Math.Phys. 3 (1999) 1227-1287

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, LaTeX 2.09, bezier.sty, final version for publication

Scientific paper

The goal of this paper is to analyse the method of angular quantization for the Sine-Gordon model at the free fermion point, which is one of the most investigated models of the two-dimensional integrable field theories. The angular quantization method (see hep-th/9707091) is a continuous analog of the Baxter's corner transfer matrix method. Investigating the canonical quantization of the free massive Dirac fermions in one Rindler wedge we identify this quantization with a representation of the infinite-dimensional algebra introduced in the paper q-alg/9702002 and specialized to the free fermion point. We construct further the main ingredients of the SG theory in terms of the representation theory of this algebra following the approach by M.Jimbo, T.Miwa et al.

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