Scalar field equation in the presence of signature change Public Deposited

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  • We consider the (massless) scalar field on a two-dimensional manifold with metric that changes signature from Lorentzian to Euclidean. Requiring a conserved momentum in the spatially homogeneous case leads to a particular choice of propagation rule. The resulting mix of positive and negative frequencies depends only on the total (conformal) size of the spacelike regions and not on the detailed form of the metric. Reformulating the problem using junction conditions, we then show that the solutions obtained above are the unique ones which satisfy the natural distributional wave equation everywhere. We also give a variational approach, obtaining the same results from a natural Lagrangian.
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  • Dray, T., Manogue, C. A., & Tucker, R. W. (1993). Scalar field equation in the presence of signature change. Physical Review D, 48(6), 2587-2590.
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  • description.provenance : Submitted by Deanne Bruner (deanne.bruner@oregonstate.edu) on 2013-08-20T23:32:21Z No. of bitstreams: 1 DrayTevianMathematicsScalarFieldEquation.pdf: 287924 bytes, checksum: afbbda50b07365bbed0713f163f8f0f4 (MD5)
  • description.provenance : Approved for entry into archive by Deanne Bruner(deanne.bruner@oregonstate.edu) on 2013-08-20T23:33:24Z (GMT) No. of bitstreams: 1 DrayTevianMathematicsScalarFieldEquation.pdf: 287924 bytes, checksum: afbbda50b07365bbed0713f163f8f0f4 (MD5)
  • description.provenance : Made available in DSpace on 2013-08-20T23:33:24Z (GMT). No. of bitstreams: 1 DrayTevianMathematicsScalarFieldEquation.pdf: 287924 bytes, checksum: afbbda50b07365bbed0713f163f8f0f4 (MD5) Previous issue date: 1993-09-15

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