The reduced covariant phase space quantization of the three dimensional Nambu-Goto string

Details The reduced covariant phase space quantization of the three dimensional Nambu-Goto string The reduced covariant phase space quantization of the three dimensional Nambu-Goto string

1997-09-18

arxiv.org/abs/hep-th/9709131v1

Nucl.Phys. B519 (1998) 435-452

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file (elsart macros), 22 pages

Scientific paper

10.1016/S0550-3213(98)00025-X

The reduced covariant phase space associated with the three-dimensional Euclidean Nambu-Goto action can be identified, via the Enneper-Weierstrass representation of minimal surfaces, with the space of complex analytic functions plus three translational zero modes. The symplectic structure induced trough the Enneper-Weierstrass map can be explicitly computed. Quantization is then straightforward, yielding as a result a target-space Euclidean-invariant, positive-definite, two-dimensional quantum field theory. The physical states are shown to correspond with particles states of integer spin and arbitrary mass.

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