Schild Action and Space-Time Uncertainty Principle in String Theory | Zendy

Tamiaki Yoneya | Zendy

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Schild Action and Space-Time Uncertainty Principle in String Theory

Author(s) -

Tamiaki Yoneya

Publication year - 1997

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.97.949

Subject(s) - superstring theory , physics , quantization (signal processing) , path integral formulation , string theory , action (physics) , string field theory , supersymmetry , mathematical physics , theoretical physics , string (physics) , effective action , spacetime , relationship between string theory and quantum field theory , non critical string theory , quantum gravity , quantum , quantum mechanics , mathematics , algorithm

We show that the path-integral quantization of relativistic strings with theSchild action is essentially equivalent to the usual Polyakov quantization atcritical space-time dimensions. We then present an interpretation of the Schildaction which points towards a derivation of superstring theory as a theory ofquantized space-time where the squared string scale plays the role of theminimum quantum for space-time areas. A tentative approach towards such a goalis proposed, based on a microcanonical formulation of large N supersymmetricmatrix model.Comment: 15 pages, Latex, no figures, a note and references are adde

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