Schild Action and Space-Time Uncertainty Principle in String Theory

Details Schild Action and Space-Time Uncertainty Principle in String Theory Schild Action and Space-Time Uncertainty Principle in String Theory

1997-03-11

arxiv.org/abs/hep-th/9703078v4

Prog.Theor.Phys. 97 (1997) 949-962

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Latex, no figures, a note and references are added

Scientific paper

10.1143/PTP.97.949

We show that the path-integral quantization of relativistic strings with the Schild action is essentially equivalent to the usual Polyakov quantization at critical space-time dimensions. We then present an interpretation of the Schild action which points towards a derivation of superstring theory as a theory of quantized space-time where the squared string scale plays the role of the minimum quantum for space-time areas. A tentative approach towards such a goal is proposed, based on a microcanonical formulation of large N supersymmetric matrix model.

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