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Paper   IPM / Physic / 6612
School of Physics
  Title:   Diffeomorphism Algebra of Two Dimensional Free Massless Scalar Field with Signature Change
1.  A. Rezaei-Aghdam
2.  F. Darabi
3.  M.A. Jafarizadeh
  Status:   Published
  Journal: Classical Quant. Grav.
  No.:  10
  Vol.:  16
  Year:  1999
  Pages:   1417-1433
  Supported by:  IPM
We study a model of free massless scalar fields on a two dimensional cylinder with metric that admits a change of signature between Lorentzian and Euclidean type (ET), across the two timelike hypersurfaces (with respect to Lorentzian region). Considering a long strip-shaped region of the cylinder, denoted by an angle θ, as the signature changed region it is shown that the energy spectrum depends on the angle θ and in a sense differs from ordinary one for low energies. Morever diffeomorphism algebra of corresponding infinite conserved charges is different from " Virasoro" algebra and approaches to it at higher energies. The central term is also modified but does not approach to the ordinary one at higher energies.

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