Conformally invariant quantization of the liouville theory

Thomas Curtright, Charles B. Thorn

Research output: Contribution to journalArticle

248 Citations (Scopus)

Abstract

The Liouville theory is quantized with use of Fock-space methods, an infinite set of charges Ln, n=0, ±1, is constructed which represents the conformal algebra in two dimensions, and consequences of this algebra are discussed. It is then argued, with use of variational methods in Fock space, that the spectrum of the Liouville Hamiltonian is continuous, and that there exist energy eigenstates obeying the constraints Ln|E=0, n>0.

Original languageEnglish (US)
Pages (from-to)1309-1313
Number of pages5
JournalPhysical Review Letters
Volume48
Issue number19
DOIs
StatePublished - 1982
Externally publishedYes

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algebra
eigenvectors
energy

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Conformally invariant quantization of the liouville theory. / Curtright, Thomas; Thorn, Charles B.

In: Physical Review Letters, Vol. 48, No. 19, 1982, p. 1309-1313.

Research output: Contribution to journalArticle

Curtright, Thomas ; Thorn, Charles B. / Conformally invariant quantization of the liouville theory. In: Physical Review Letters. 1982 ; Vol. 48, No. 19. pp. 1309-1313.
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