Scalar field equation in the presence of signature change.

@article{Dray1993ScalarFE,
  title={Scalar field equation in the presence of signature change.},
  author={Dray and Manogue and Tucker},
  journal={Physical review. D, Particles and fields},
  year={1993},
  volume={48 6},
  pages={2587-2590}
}
We consider the (massless) scalar field on a 2-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… CONTINUE READING

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The Effect of Signature Change on Scalar Field Propagation,

T. Dray, C. A. Manogue, R. W. Tucker
Oregon State University report, • 1992
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T. Dray, C. A. Manogue, R. W. Tucker
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