Nonperturbative effects in 2D string theory or, beyond the Liouville wall

Ram Brustein, Burt A. Ovrut

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We discuss continuous and discrete sectors in the collective field theory of D = 1 matrix models. A canonical Lorentz-invariant field theory extension of collective field theory is presented and its classical solutions in Euclidean and Minkowski space are found. We show that the discrete, low density sector of collective field theory includes single eigenvalue Euclidean instantons which tunnel between different vacua of the extended theory. We further show that these "stringy" instantons induce nonperturbative effective operators of strength e-1/9 in the extended theory. The relationship of the world sheet description of string theory and Liouville theory to the effective space-time theory is explained. We also comment on the role of the discrete, low density, sector of collective field theory in that framework.

Original languageEnglish
Pages (from-to)3477-3515
Number of pages39
JournalInternational Journal of Modern Physics A
Issue number20
StatePublished - 10 Aug 1997
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics


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