Canonical formulation of a bosonic matter field in (1 + 1)-dimensional curved space

R. N. Ghalati; D. G.C. Mckeon; T. N. Sherry

doi:10.1142/S0217751X07037184

Canonical formulation of a bosonic matter field in (1 + 1)-dimensional curved space

R. N. Ghalati
, D. G.C. Mckeon
, T. N. Sherry

University of Western Ontario
University of Galway

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

2 Citations (Scopus)

Abstract

We study a bosonic scalar in (1 + 1)-dimensional curved space that is coupled to a dynamical metric field. This metric, along with the affine connection, also appears in the Einstein-Hilbert action √-gg ^μν R_μν(Γ) when written in first-order form. After applying the Dirac constraint formalism to the Einstein-Hilbert action and the action of the bosonic scalar field separately, we apply it to these actions when they are combined. Only in the latter case does a dynamical degree of freedom emerge.

Original language	English
Pages (from-to)	4833-4848
Number of pages	16
Journal	International Journal of Modern Physics A
Volume	22
Issue number	26
DOIs	https://doi.org/10.1142/S0217751X07037184
Publication status	Published - 20 Oct 2007
Externally published	Yes

Keywords

Dirac constraint formalism
Scalar field
Two-dimensional gravity

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10.1142/S0217751X07037184

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abstract = "We study a bosonic scalar in (1 + 1)-dimensional curved space that is coupled to a dynamical metric field. This metric, along with the affine connection, also appears in the Einstein-Hilbert action √-gg μν Rμν(Γ) when written in first-order form. After applying the Dirac constraint formalism to the Einstein-Hilbert action and the action of the bosonic scalar field separately, we apply it to these actions when they are combined. Only in the latter case does a dynamical degree of freedom emerge.",

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AU - Sherry, T. N.

PY - 2007/10/20

Y1 - 2007/10/20

N2 - We study a bosonic scalar in (1 + 1)-dimensional curved space that is coupled to a dynamical metric field. This metric, along with the affine connection, also appears in the Einstein-Hilbert action √-gg μν Rμν(Γ) when written in first-order form. After applying the Dirac constraint formalism to the Einstein-Hilbert action and the action of the bosonic scalar field separately, we apply it to these actions when they are combined. Only in the latter case does a dynamical degree of freedom emerge.

AB - We study a bosonic scalar in (1 + 1)-dimensional curved space that is coupled to a dynamical metric field. This metric, along with the affine connection, also appears in the Einstein-Hilbert action √-gg μν Rμν(Γ) when written in first-order form. After applying the Dirac constraint formalism to the Einstein-Hilbert action and the action of the bosonic scalar field separately, we apply it to these actions when they are combined. Only in the latter case does a dynamical degree of freedom emerge.

KW - Dirac constraint formalism

KW - Scalar field

KW - Two-dimensional gravity

UR - https://www.scopus.com/pages/publications/35748979691

U2 - 10.1142/S0217751X07037184

DO - 10.1142/S0217751X07037184

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EP - 4848

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

IS - 26

ER -

Canonical formulation of a bosonic matter field in (1 + 1)-dimensional curved space

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Keywords

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