1993/09/20 by Miao Li, Li, Miao · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Computational Geometry and Mesh Generation #Image Processing and 3D Reconstruction #Mathematical Dynamics and Fractals #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9309108
8 pages, BROWN-HET-923, a minor error is corrected
arxiv created 1993/09/22 · arxiv updated 2009/11/30
We show that string theory with Dirichlet boundaries is equivalent to string theory containing surfaces with certain singular points. Surface curvature is singular at these points. A singular point is resolved in conformal coordinates to a circle with Dirichlet boundary conditions. We also show that moduli parameters of singular surfaces coincide with those of smooth surfaces with boundaries. Singular surfaces with saddle points indeed arise in the strong coupling expansion in lattice QCD. The kind of saddle point, which may be the origin of a singular point we need, is of infinite order.