Diffeomorphism algebra of a two-dimensional free massless scalar field with signature change

Citation
F. Darabi et al., Diffeomorphism algebra of a two-dimensional free massless scalar field with signature change, CLASS QUANT, 16(4), 1999, pp. 1417-1433
Citations number
40
Categorie Soggetti
Physics
Journal title
CLASSICAL AND QUANTUM GRAVITY
ISSN journal
02649381 → ACNP
Volume
16
Issue
4
Year of publication
1999
Pages
1417 - 1433
Database
ISI
SICI code
0264-9381(199904)16:4<1417:DAOATF>2.0.ZU;2-Z
Abstract
We study a model of free massless scalar fields on a two-dimensional cylind er with a metric that admits a change of signature from a Lorentzian to a E uclidean region. We take a long strip on the cylinder, denoted by the angle theta, as the signature-changing region and show that, using specific junc tion conditions, the energy spectrum depends on the angle a and in a sense differs from the ordinary bosonic spectrum for low energies. Moreover, the diffeomorphism algebra of the corresponding infinite conserved charges is d ifferent from 'Virasoro' algebra and approaches it at higher energies where as the central term, although modified, does not approach the central term of 'Virasoro' algebra at higher energies.