The covariant superstring action of Green and Schwarz provides a possible alternative to the more widely used Neveu-Schwarz-Ramond action. It is shown that standard gauge-fixing techniques can be applied to the Green-Schwarz action for the heterotic string, and that the resulting path integral has no conformal anomaly in the critical dimension. The path integral over surfaces with the topology of a cylinder is investigated in some detail, and is demonstrated to give a good tree level propagator. The propagator is Lorentz covariant in spite of the noncovariance of the gauge-fixing technique. © 1987.
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