Spacetime Quantization from Non-abelian D-particle Dynamics

Details Spacetime Quantization from Non-abelian D-particle Dynamics Spacetime Quantization from Non-abelian D-particle Dynamics

1998-07-25

arxiv.org/abs/gr-qc/9807070v1

Phys.Rev. D59 (1999) 064016

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages LATEX, one eps figure incorporated

Scientific paper

10.1103/PhysRevD.59.064016

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.

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