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

Mar 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000cqgra..17.1189m&link_type=abstract

Classical and Quantum Gravity, Volume 17, Issue 5, pp. 1189-1203 (2000).

Physics

4

Scientific paper

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 infrared regime it reproduces the usual behaviour of the commutative gauge theory (i.e. of the form k 4 logk 2 ). In the ultraviolet 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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