Scalar field equation in the presence of signature change

Citeable URL: https://ir.library.oregonstate.edu/concern/articles/37720d380

Descriptions

Attribute Name	Values
Creator	Dray, Tevian Manogue, Corinne A. Tucker, Robin W.
Abstract	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.
Resource Type	Article
DOI	https://doi.org/10.1103/PhysRevD.48.2587
Date Available	2013-08-20T23:33:24+00:00
Date Issued	1993-09-15
Citation	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.
Journal Title	Physical Review D
Journal Volume	48
Journal Issue/Number	6
Academic Affiliation	Mathematics
Rights Statement	Copyright Not Evaluated
Funding Statement (additional comments about funding)	This work was partially funded by NSF Grant No. PHY 92-08494 (C.A.M. and T.D.).
Publisher	American Physical Society
Peer Reviewed	Yes
Language	English [eng]
Replaces	http://hdl.handle.net/1957/41873
Accessibility Feature	unknown