Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-09-18
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, introduction and discussion sections extended, typos fixed, accepted to Eur. Phys. J. Plus
Scientific paper
Scalar fields on a two dimensional curved surface are considered and the canonical structure of this theory analyzed. Both the first and second order forms of the Einstein-Hilbert (EH) action for the metric are used (these being inequivalent in two dimensions). The Dirac constraint formalism is used to find the generator of the gauge transformation, using the formalisms of Henneaux, Teitelboim and Zanelli (HTZ) and of Castellani (C). The HTZ formalism is slightly modified in the case of the first order EH action to accommodate the gauge transformation of the metric; this gauge transformation is unusual as it mixes the affine connection with the scalar field.
McKeon Dennis G. C.
Patrushev Alexander
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