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.
Downloads
Downloads
Published
Issue
Section
License
The opinions expressed by the authors do not necessarily reflect the position of the publisher of the publication or of UCLA. The total or partial reproduction of the texts published here is authorized, as long as the complete source and the electronic address of this journal are cited.
The authors fully retain the rights to their works, giving the journal the right to be the first publication where the article is presented. The authors have the right to use their articles for any purpose as long as it is done for non-profit. Authors are recommended to disseminate their articles in the final version, after publication in this journal, in the electronic media of the institutions to which they are affiliated or personal digital media.
