Nonperturbative weak-coupling analysis of the quantum Liouville field theory

E. Braaten, T. Curtright, G. Ghandour, C. Thorn

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Abstract

Two independent weak-coupling expansions are developed for the Liouville quantum field theory on a circle. In the first, the coupling of the nonzero modes is treated as a perturbation on the exact solution to the zero-mode problem (quantum mechanics with an exponential potential). The second approach is a weak-coupling approximation to an explicit operator solution which expresses various Liouville operators as functions of a free massless field using a Bäcklund transformation. It is shown that the free state space associated with the latter solution must be restricted to the sector which is odd with respect to a type of "parity." Various matrix elements are computed to order g10 using both approaches, yielding identical results.

Original languageEnglish (US)
Pages (from-to)147-201
Number of pages55
JournalAnnals of Physics
Volume153
Issue number1
DOIs
StatePublished - Mar 1984
Externally publishedYes

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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