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Paper IPM / Physic / 6612  


Abstract:  
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 stripshaped 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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