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

Eduardo Ramos
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Abstract

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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Eduardo Ramos. 1997-09-18. The reduced covariant phase space quantization of the three dimensional Nambu-Goto string. https://doi.org/10.1016/s0550-3213(98)00025-x

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