String Theory and the Space-Time Uncertainty Principle

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概要

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• The notion of a space-time uncertainty principle in string theory is clarified and fur-ther 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 g^<1/3>_sl_s 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.

• 一般社団法人日本物理学会の論文
• 2000-06-25

著者

• YONEDA Tetsuya

  Department of Physics, Kumamoto University

• Yoneya Tamiaki

  Institute of Physics, University of Tokyo

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