Large N Limit of Non-Commutative Gauge Theories

Details Large N Limit of Non-Commutative Gauge Theories Large N Limit of Non-Commutative Gauge Theories

1999-08-19

arxiv.org/abs/hep-th/9908134v3

JHEP 9909 (1999) 025

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, harvmac. Some errors in correlators corrected, minor corrections to the Lorentzian solutions

Scientific paper

10.1088/1126-6708/1999/09/025

Using the correspondence between gauge theories and string theory in curved backgrounds, we investigate aspects of the large $N$ limit of non-commutative gauge theories by considering gravity solutions with $B$ fields. We argue that the total number of physical degrees of freedom at any given scale coincides with the commutative case. We then compute a two-point correlation function involving momentum components in the directions of the $B$-field. In the UV regime, we find that the two-point function decays exponentially with the momentum. A calculation of Wilson lines suggests that strings cannot be localized near the boundary. We also find string configurations that are localized in a finite region of the radial direction. These are worldsheet instantons.

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