Light-Cone Quantization of the Liouville Model

Details Light-Cone Quantization of the Liouville Model Light-Cone Quantization of the Liouville Model

1992-12-08

arxiv.org/abs/hep-th/9212046v1

Phys.Rev. D47 (1993) 4538-4545

Physics

High Energy Physics

High Energy Physics - Theory

16 p, EFI-92-66

Scientific paper

10.1103/PhysRevD.47.4538

We present the quantization of the Liouville model defined in light-cone coordinates in (1,1) signature space. We take advantage of the representation of the Liouville field by the free field of the Backl\"{u}nd transformation and adapt the approch by Braaten, Curtright and Thorn. Quantum operators of the Liouville field $\partial_{+}\phi$, $\partial_{-}\phi$, $e^{g\phi}$, $e^{2g\phi}$ are constructed consistently in terms of the free field. The Liouville model field theory space is found to be restricted to the sector with field momentum $P_{+}=-P_{-}$, $P_{+}> 0$ , which is a closed subspace for the Liouville theory operator algebra.

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