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Scalar field equation in the presence of signature change

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Scalar field equation in the presence of signature change. / Dray, Tevian; Manogue, Corinne A.; Tucker, Robin.

In: Physical Review D, Vol. 48, No. 6, 15.09.1993, p. 2587-2590.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Dray, T, Manogue, CA & Tucker, R 1993, 'Scalar field equation in the presence of signature change', Physical Review D, vol. 48, no. 6, pp. 2587-2590. https://doi.org/10.1103/PhysRevD.48.2587

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Vancouver

Author

Dray, Tevian ; Manogue, Corinne A. ; Tucker, Robin. / Scalar field equation in the presence of signature change. In: Physical Review D. 1993 ; Vol. 48, No. 6. pp. 2587-2590.

Bibtex

@article{5d87336999f346d78963e58a4a4bd48d,
title = "Scalar field equation in the presence of signature change",
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.",
author = "Tevian Dray and Manogue, {Corinne A.} and Robin Tucker",
year = "1993",
month = sep,
day = "15",
doi = "10.1103/PhysRevD.48.2587",
language = "English",
volume = "48",
pages = "2587--2590",
journal = "Physical Review D",
issn = "1550-7998",
publisher = "American Physical Society",
number = "6",

}

RIS

TY - JOUR

T1 - Scalar field equation in the presence of signature change

AU - Dray, Tevian

AU - Manogue, Corinne A.

AU - Tucker, Robin

PY - 1993/9/15

Y1 - 1993/9/15

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevD.48.2587

DO - 10.1103/PhysRevD.48.2587

M3 - Journal article

VL - 48

SP - 2587

EP - 2590

JO - Physical Review D

JF - Physical Review D

SN - 1550-7998

IS - 6

ER -