Spacetime Quantization from Non-abelian D-particle Dynamics

Abstract

We describe the short-distance properties of the spacetime of a system of D-particles by viewing their matrix-valued coordinates as coupling constants of a deformed worldsheet $\sigma$-model. We show that the Zamolodchikov metric on the associated moduli space naturally encodes properties of the non-abelian dynamics, and from this we derive new spacetime uncertainty relations directly from the quantum string theory. The non-abelian uncertainties exhibit decoherence effects which suggest the interplay of quantum gravity in multiple D-particle dynamics.

8 pages LATEX, one eps figure incorporated

References in corpus (3)

• On non-abelian generalisation of Born-Infeld action in string theory
• D-Particle Dynamics and The Space-Time Uncertainty Relation
• On the Space-Time Uncertainty Relations of Liouville Strings and D Branes

Cited by in corpus (4)

• Quantum Gravity, Field Theory and Signatures of Noncommutative Spacetime
• Worldvolume Uncertainty Relations for D-Branes
• Non-linear Schroedinger Dynamics of Matrix D-branes
• Probes for String-Inspired Foam, Lorentz, and CPT Violations in Astrophysics