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arXiv · hep-th/0611126

Canonical Formulation of A Bosonic Matter Field in 1+1 Dimensional Curved Space

R. N. Ghalati·D. G. C. McKeon·T. N. Sherry
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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 when written in first order form. After illustrating the Dirac constraint analysis in Yang-Mills theory, we apply this formulation to the Einstein-Hilbert action and the action of the Bosonic scalar field, first separately and then together. Only in the latter case does a dynamical degree of freedom emerge.

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R. N. Ghalati, D. G. C. McKeon, T. N. Sherry. 2006-11-10. Canonical Formulation of A Bosonic Matter Field in 1+1 Dimensional Curved Space. https://doi.org/10.1142/s0217751x07037184

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