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Prog. Theor. Phys. Vol. 103 No. 6 (2000) pp. 1081-1125

[ Full Text PDF : FREE ACCESS (344K) ]

Invited Papers

String Theory and the Space-Time Uncertainty Principle

Tamiaki Yoneya*)

Institute of Physics, University of Tokyo, Komaba, Tokyo 153-8902, Japan

(Received April 14, 2000)

Abstract:

The notion of a space-time uncertainty principle in string theory is clarified and further developed. The motivation and the derivation of the principle are first reviewed in a reasonably self-contained way. It is then shown that the nonperturbative (Borel summed) high-energy and high-momentum transfer behavior of string scattering is consistent with the space-time uncertainty principle. It is also shown that, as a consequence of this principle, string theories in 10 dimensions generically exhibit a characteristic length scale which is equal to the well-known 11 dimensional Planck length gs1/3ℓs of M-theory as the scale at which stringy effects take over the effects of classical supergravity, even without involving D-branes directly. The implications of the space-time uncertainty relation in connection with D-branes and black holes are discussed and reinterpreted. Finally, we present a novel interpretation of the Schild-gauge action for strings from the viewpoint of noncommutative geometry. This conforms to the space-time uncertainty relation by manifestly exhibiting a noncommutativity of quantized string coordinates between, dominantly, space and time. We also discuss the consistency of the space-time uncertainty relation with S and T dualities.


URL : http://ptp.ipap.jp/link?PTP/103/1081/
DOI : 10.1143/PTP.103.1081


*)E-mail: tam@hep1.c.u-tokyo.ac.jp

[ Full Text PDF : FREE ACCESS (344K) ] Citation:

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