A proof of the discreteness of the bosonic membrane spectrum
Keywords:
String Theory, Quantization of singular systems, spectral theoryAbstract
Using a spectral theorem for Schrodinger like equations, we present a proof of the discreteness of the spectrum for open bosonic membrane, considering L2 immersion maps from the 2 dimensional interval, at constant time, to at minkowski space. The residual area preserving symmetry and the BRST action were studied in a residual gauge xing choice that allows a simpplification of the efective membrane action. Some differences between discretised membrane and the SU(N ! 1) Yang Mills model explains apparently contradictory results reported on the spectrum.
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