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Non-Critical Open Strings Beyond the Semiclassical Approximation

    https://doi.org/10.1142/S0217732397001266Cited by:2 (Source: Crossref)

    We studied the lowest order quantum corrections to the macroscopic wave functions Γ(A,ℓ) of non-critical string theory using the semiclassical expansion of Liouville theory. By carefully taking the perimeter constraint into account we obtained a new type of boundary condition for the Liouville field which is compatible with the reparametrization invariance of the boundary and which is not only a mixture of Dirichlet and Neumann types but also involves an integral of an exponential of the Liouville field along the boundary. This condition contains an unknown function of A/ℓ2. We determined this function by computing part of the one-loop corrections to Γ(A,ℓ).

    PACS: 11.25.Sq, 11.25.Pm
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