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

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

2006-11-10

arxiv.org/abs/hep-th/0611126v1

Int.J.Mod.Phys.A22:4833-4848,2007

Physics

High Energy Physics

High Energy Physics - Theory

21 pages

Scientific paper

10.1142/S0217751X07037184

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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