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24 April 2024
 
  » arxiv » hep-th/9702019

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Non-critical open strings beyond the semi-classical approximation
J. Ambjorn ; K. Hayasaka ; R. Nakayama ;
Date 3 Feb 1997
Journal Mod.Phys.Lett. A12 (1997) 1241-1266
Subject hep-th
AffiliationNiels Bohr Institute), K. Hayasaka (Hokkaido University) and R. Nakayama (Hokkaido University
AbstractWe studied the lowest order quantum corrections to the macroscopic wave functions $Gamma (A,ell)$ of non-critical string theory using the semi-classical 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 $A/ell^2$. We determined this function by computing part of the one-loop corrections to $Gamma (A,ell)$.
Source arXiv, hep-th/9702019
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