Space-Time Uncertainty and Noncommutativity in String Theory

Abstract

We analyze the nature of space-time nonlocality in string theory. After giving a brief overview on the conjecture of the space-time uncertainty principle, a (semi-classical) reformulation of string quantum mechanics, in which the dynamics is represented by the noncommutativity between temporal and spatial coordinates, is outlined. The formalism is then compared to the space-time noncommutative field theories associated with nonzero electric B-fields.

10 pages with one figure. Written version of talks presented at the Strings 2000 (Michigan, July, 2000) and the Summer Workshop on Branes (KIAS, Seoul, June, 2000)

References in corpus (1)

• String Theory and the Space-Time Uncertainty Principle

Cited by in corpus (11)

• Noncommutative Field Theory
• Exact Solution of the Harmonic Oscillator in Arbitrary Dimensions with Minimal Length Uncertainty Relations
• The Effect of the Minimal Length Uncertainty Relation on the Density of States and the Cosmological Constant Problem
• Short Distance vs. Long Distance Physics: The Classical Limit of the Minimal Length Uncertainty Relation
• Harmonic oscillator with minimal length uncertainty relations and ladder operators
• Precursors, black holes, and a locality bound
• Schur-Weyl duality as an instrument of Gauge-String duality
• Nambu Quantum Mechanics: A Nonlinear Generalization of Geometric Quantum Mechanics
• On Generalized Uncertainty Principle
• On the Physics of the Minimal Length: The Question of Gauge Invariance
• Dynamical Regge Calculus as Lattice Quantum Gravity