Journal ArticleDOI
Nonperturbative weak-coupling analysis of the quantum Liouville field theory
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In this paper, two independent weak-coupling expansions for the Liouville quantum field theory on a circle are developed for the nonzero modes of the non-zero modes, which are treated as perturbations on the exact solution to the zero-mode problem.About:
This article is published in Annals of Physics.The article was published on 1984-03-01. It has received 64 citations till now. The article focuses on the topics: Liouville field theory & Liouville's formula.read more
Citations
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The Geometry of String Perturbation Theory
Eric D'Hoker,Duong H. Phong +1 more
TL;DR: In this paper, recent progress made towards the understanding of closed bosonic and fermionic string perturbation theory, formulated in a Lorentz-covariant way on Euclidean space-time, is devoted to recent progress.
Journal ArticleDOI
Liouville theory revisited
TL;DR: In this article, a coherent view of Liouville theory as a two-dimensional conformal field theory was developed, taking into account the perspectives of the path-integral approach, bootstrap, canonical quantization and the operator approach.
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Liouville Field Theory — A decade after the revolution
TL;DR: In this paper, a review of the recent developments of the Liouville field theory and its matrix model dual is presented, which includes some original material such as the derivation of the conjectured dual action for the N = 2 LiOUville theory from other known dualities and the comparison of the cross-cap state with the c = 0 unoriented matrix model.
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Analytic continuation of Liouville theory
TL;DR: In this article, it was shown that in general Liouville's equations do not have enough complex-valued solutions to account for the semiclassical behavior of the DOZZ formula.
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From loops to states in two-dimensional quantum gravity
TL;DR: In this paper, the authors investigate macroscopic loop amplitudes (at genus zero) using the matrix model and the Liouville theories of two-dimensional quantum gravity, and resolve several apparent discrepancies between the matrix models and LiOUville theory.
References
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Journal ArticleDOI
Quantum Geometry of Bosonic Strings
TL;DR: In this article, a formalism for computing sums over random surfaces which arise in all problems containing gauge invariance (like QCD, three-dimensional Ising model etc.) is developed.
Journal ArticleDOI
Conformally Invariant Quantization of the Liouville Theory.
TL;DR: In this article, the Liouville theory is quantized with use of Fock space methods, an infinite set of charges L/sub n/, n = 0, +- 1,..., is constructed which represents the conformal algebra in two dimensions, and consequences of this algebra are discussed.
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Dual string spectrum in Polyakov's quantization (II). Mode separation
Jean-Loup Gervais,André Neveu +1 more
TL;DR: In this paper, the analysis of ground state classical motions, and the separation of the modes into equally spaced harmonic oscillators, are presented as quadratic expressions of these modes providing a spectrum generating algebra.
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The dual string spectrum in Polyakov's quantization (I)
Jean-Loup Gervais,André Neveu +1 more
TL;DR: In this article, the authors considered the quantization of Liouville's equation in a box, with appropriate boundary conditions, as comes out of Polyakov's analysis of the Nambu action.