Space-Time Uncertainty and Approaches to D-Brane Field Theory

Abstract

In connection with the space-time uncertainty principle which gives a simple qualitative characterization of non-local or non-commutative nature of short-distance space-time structure in string theory, author's recent approaches toward field theories for D-branes are briefly outlined, putting emphasis on some key ideas lying in the background. The final section of the present report is devoted partially to a tribute to Yukawa on the occasion of the centennial of his birth.

12 pages, 3 figures, written version of an invited talk at the 21st Nishinomiya-Yukawa Mermorial Simposium, Nov. 2006, to be published in the proceedings