Higher Level Open String States from Vacuum String Field Theory
Author(s) -
Hiroyuki Hata,
Hisashi Kogetsu
Publication year - 2002
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2002/09/027
Subject(s) - degenerate energy levels , string (physics) , eigenvalues and eigenvectors , physics , string field theory , spurious relationship , projection (relational algebra) , massless particle , spectrum (functional analysis) , theoretical physics , mathematical physics , quantum mechanics , mathematics , algorithm , statistics
We construct massive open string states around a classical solution in theoscillator formulation of Vacuum String Field Theory. In order for the correctmass spectrum to be reproduced, the projection operators onto the modes of theleft- and right-half of the string must have an anomalous eigenvalue 1/2, andthe massive states are constructed using the corresponding eigenvector. Weanalyze numerically the projection operators by regularizing them to finitesize matrices and confirm that they indeed have eigenvalue 1/2. Beside thedesired massive states, we have spurious massive as well as massless states,which are infinitely degenerate. We show that these unwanted states can begauged away.Comment: 16 pages, no figures, LaTeX, v2:minor correction
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