Locality, Causality and Noncommutative Geometry
Abstract
We analyze the causality condition in noncommutative field theory and show that the nonlocality of noncommutative interaction leads to a modification of the light cone to the light wedge. This effect is generic for noncommutative geometry. We also check that the usual form of energy condition is violated and propose that a new form is needed in noncommutative spacetime. On reduction from light cone to light wedge, it looks like the noncommutative dimensions are effectively washed out and suggests a reformulation of noncommutative field theory in terms of lower dimensional degree of freedom. This reduction of dimensions due to noncommutative geometry could play a key role in explaining the holographic property of quantum gravity.
 Publication:

International Journal of Modern Physics A
 Pub Date:
 2006
 DOI:
 10.1142/S0217751X06024876
 arXiv:
 arXiv:hepth/0502012
 Bibcode:
 2006IJMPA..21...67C
 Keywords:

 Locality;
 causality;
 holography;
 noncommutative geometry;
 High Energy Physics  Theory
 EPrint:
 16 pages, LaTeX, 4 figures