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The construction of spinor fields on manifolds with smooth degenerate metrics

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The construction of spinor fields on manifolds with smooth degenerate metrics. / Schray, Jörg; Dray, Tevian; Manogue, Corinne A. et al.
In: Journal of Mathematical Physics, Vol. 37, No. 8, 1996, p. 3882-3897.

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

Harvard

Schray, J, Dray, T, Manogue, CA, Tucker, R & Wang, C 1996, 'The construction of spinor fields on manifolds with smooth degenerate metrics', Journal of Mathematical Physics, vol. 37, no. 8, pp. 3882-3897. https://doi.org/10.1063/1.531607

APA

Schray, J., Dray, T., Manogue, C. A., Tucker, R., & Wang, C. (1996). The construction of spinor fields on manifolds with smooth degenerate metrics. Journal of Mathematical Physics, 37(8), 3882-3897. https://doi.org/10.1063/1.531607

Vancouver

Schray J, Dray T, Manogue CA, Tucker R, Wang C. The construction of spinor fields on manifolds with smooth degenerate metrics. Journal of Mathematical Physics. 1996;37(8):3882-3897. doi: 10.1063/1.531607

Author

Schray, Jörg ; Dray, Tevian ; Manogue, Corinne A. et al. / The construction of spinor fields on manifolds with smooth degenerate metrics. In: Journal of Mathematical Physics. 1996 ; Vol. 37, No. 8. pp. 3882-3897.

Bibtex

@article{128cdef4db1e4d79b8777dd46980acf4,
title = "The construction of spinor fields on manifolds with smooth degenerate metrics",
abstract = "We examine some of the subtleties inherent in formulating a theory of spinors on a manifold with a smooth degenerate metric. We concentrate on the case where the metric is singular on a hypersurface that partitions the manifold into Lorentzian and Euclidean domains. We introduce the notion of a complex spinor fibration to make precise the meaning of continuity of a spinor field and give an express‐ ion for the components of a local spinor connection that is valid in the absence of a frame of local orthonormal vectors. These considerations enable one to construct a Dirac equation for the discussion of the behavior of spinors in the vicinity of the metric degeneracy. We conclude that the theory contains more freedom than the spacetime Dirac theory and we discuss some of the implications of this for the continuity of conserved currents.",
author = "J{\"o}rg Schray and Tevian Dray and Manogue, {Corinne A.} and Robin Tucker and Charles Wang",
year = "1996",
doi = "10.1063/1.531607",
language = "English",
volume = "37",
pages = "3882--3897",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics Publising LLC",
number = "8",

}

RIS

TY - JOUR

T1 - The construction of spinor fields on manifolds with smooth degenerate metrics

AU - Schray, Jörg

AU - Dray, Tevian

AU - Manogue, Corinne A.

AU - Tucker, Robin

AU - Wang, Charles

PY - 1996

Y1 - 1996

N2 - We examine some of the subtleties inherent in formulating a theory of spinors on a manifold with a smooth degenerate metric. We concentrate on the case where the metric is singular on a hypersurface that partitions the manifold into Lorentzian and Euclidean domains. We introduce the notion of a complex spinor fibration to make precise the meaning of continuity of a spinor field and give an express‐ ion for the components of a local spinor connection that is valid in the absence of a frame of local orthonormal vectors. These considerations enable one to construct a Dirac equation for the discussion of the behavior of spinors in the vicinity of the metric degeneracy. We conclude that the theory contains more freedom than the spacetime Dirac theory and we discuss some of the implications of this for the continuity of conserved currents.

AB - We examine some of the subtleties inherent in formulating a theory of spinors on a manifold with a smooth degenerate metric. We concentrate on the case where the metric is singular on a hypersurface that partitions the manifold into Lorentzian and Euclidean domains. We introduce the notion of a complex spinor fibration to make precise the meaning of continuity of a spinor field and give an express‐ ion for the components of a local spinor connection that is valid in the absence of a frame of local orthonormal vectors. These considerations enable one to construct a Dirac equation for the discussion of the behavior of spinors in the vicinity of the metric degeneracy. We conclude that the theory contains more freedom than the spacetime Dirac theory and we discuss some of the implications of this for the continuity of conserved currents.

U2 - 10.1063/1.531607

DO - 10.1063/1.531607

M3 - Journal article

VL - 37

SP - 3882

EP - 3897

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 8

ER -