Nonperturbative weak-coupling analysis of the quantum Liouville field theory

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

Research output: Contribution to journalArticle

50 Citations (Scopus)

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 - 1984
Externally publishedYes

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operators
quantum mechanics
parity
sectors
perturbation
expansion
matrices
approximation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Nonperturbative weak-coupling analysis of the quantum Liouville field theory. / Braaten, E.; Curtright, Thomas; Ghandour, G.; Thorn, C.

In: Annals of Physics, Vol. 153, No. 1, 1984, p. 147-201.

Research output: Contribution to journalArticle

Braaten, E. ; Curtright, Thomas ; Ghandour, G. ; Thorn, C. / Nonperturbative weak-coupling analysis of the quantum Liouville field theory. In: Annals of Physics. 1984 ; Vol. 153, No. 1. pp. 147-201.
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