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Classical and quantum implications of the causality structure of two-dimensional space-times with degenerate metrics

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Classical and quantum implications of the causality structure of two-dimensional space-times with degenerate metrics. / Gratus, Jonathan; Tucker, Robin.
In: Journal of Mathematical Physics, Vol. 37, No. 12, 1996, p. 6018-6032.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Gratus, J & Tucker, R 1996, 'Classical and quantum implications of the causality structure of two-dimensional space-times with degenerate metrics', Journal of Mathematical Physics, vol. 37, no. 12, pp. 6018-6032. https://doi.org/10.1063/1.531755

APA

Gratus, J., & Tucker, R. (1996). Classical and quantum implications of the causality structure of two-dimensional space-times with degenerate metrics. Journal of Mathematical Physics, 37(12), 6018-6032. https://doi.org/10.1063/1.531755

Vancouver

Gratus J, Tucker R. Classical and quantum implications of the causality structure of two-dimensional space-times with degenerate metrics. Journal of Mathematical Physics. 1996;37(12): 6018-6032. doi: 10.1063/1.531755

Author

Gratus, Jonathan ; Tucker, Robin. / Classical and quantum implications of the causality structure of two-dimensional space-times with degenerate metrics. In: Journal of Mathematical Physics. 1996 ; Vol. 37, No. 12. pp. 6018-6032.

Bibtex

@article{8f81c5c3ebce474f9c9196ed35fc4083,
title = "Classical and quantum implications of the causality structure of two-dimensional space-times with degenerate metrics",
abstract = "The causality structure of two-dimensional manifolds with degenerate metrics is analyzed in terms of global solutions of the massless wave equation. Certain novel features emerge. Despite the absence of a traditional Lorentzian Cauchy surface on manifolds with a Euclidean domain, it is possible to uniquely determine a global solution (if it exists), satisfying well-defined matching conditions at the degeneracy curve, from Cauchy data on certain spacelike curves in the Lorentzian region, In general, however, no global solution satisfying such matching conditions will be consistent with this data. Attention is drawn to a number of obstructions that arise prohibiting the construction of a bounded operator connecting asymptotic single particle states. The implications of these results for the existence of a unitary quantum field theory are discussed. ",
keywords = "SIGNATURE TYPE CHANGE, GENERAL-RELATIVITY",
author = "Jonathan Gratus and Robin Tucker",
year = "1996",
doi = "10.1063/1.531755",
language = "English",
volume = "37",
pages = " 6018--6032",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics Publising LLC",
number = "12",

}

RIS

TY - JOUR

T1 - Classical and quantum implications of the causality structure of two-dimensional space-times with degenerate metrics

AU - Gratus, Jonathan

AU - Tucker, Robin

PY - 1996

Y1 - 1996

N2 - The causality structure of two-dimensional manifolds with degenerate metrics is analyzed in terms of global solutions of the massless wave equation. Certain novel features emerge. Despite the absence of a traditional Lorentzian Cauchy surface on manifolds with a Euclidean domain, it is possible to uniquely determine a global solution (if it exists), satisfying well-defined matching conditions at the degeneracy curve, from Cauchy data on certain spacelike curves in the Lorentzian region, In general, however, no global solution satisfying such matching conditions will be consistent with this data. Attention is drawn to a number of obstructions that arise prohibiting the construction of a bounded operator connecting asymptotic single particle states. The implications of these results for the existence of a unitary quantum field theory are discussed.

AB - The causality structure of two-dimensional manifolds with degenerate metrics is analyzed in terms of global solutions of the massless wave equation. Certain novel features emerge. Despite the absence of a traditional Lorentzian Cauchy surface on manifolds with a Euclidean domain, it is possible to uniquely determine a global solution (if it exists), satisfying well-defined matching conditions at the degeneracy curve, from Cauchy data on certain spacelike curves in the Lorentzian region, In general, however, no global solution satisfying such matching conditions will be consistent with this data. Attention is drawn to a number of obstructions that arise prohibiting the construction of a bounded operator connecting asymptotic single particle states. The implications of these results for the existence of a unitary quantum field theory are discussed.

KW - SIGNATURE TYPE CHANGE

KW - GENERAL-RELATIVITY

U2 - 10.1063/1.531755

DO - 10.1063/1.531755

M3 - Journal article

VL - 37

SP - 6018

EP - 6032

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 12

ER -