Light-Cone Gauge Quantization of 2D Sigma Models

Details Light-Cone Gauge Quantization of 2D Sigma Models Light-Cone Gauge Quantization of 2D Sigma Models

1994-02-17

arxiv.org/abs/hep-th/9402106v1

Nucl.Phys.B427:81-110,1994

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, 1 figure, PUPT-1338, RU-94-21

Scientific paper

10.1016/0550-3213(94)90270-4

This work describes the formulation of the manifestly ghost-free (spacetime) light-cone gauge for bosonic string theory with non-trivial spacetime metric, antisymmetric tensor, dilaton and tachyon fields. The action is a general two-dimensional sigma model, corresponding to a closed string theory with a second order action in the Polyakov picture. The spacetime fields must have a symmetry generated by a null, covariantly constant spacetime vector in order for the light-cone gauge to be accessible. Also, the theory must be Weyl invariant. The conditions for Weyl invariance are computed within the light-cone gauge, reproducing the usual beta functions. The calculation of the dilaton beta function and the critical dimension is somewhat novel in this ghost-free theory. Some exactly solvable light-cone theories are discussed.

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