Non-critical open strings beyond the semi-classical approximation

Details Non-critical open strings beyond the semi-classical approximation Non-critical open strings beyond the semi-classical approximation

1997-02-03

arxiv.org/abs/hep-th/9702019v2

Mod.Phys.Lett. A12 (1997) 1241-1266

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 1 figure, LaTeX file, epsf.sty

Scientific paper

10.1142/S0217732397001266

We 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 $\Gamma (A,\ell)$.

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