Confinement in large N gauge theories
Abstract
We report some recent results obtained for large N gauge theories which support the idea of volume reduction. Results for the string tension of the Twisted Eguchi-Kawai model match with those obtained from extrapolation from finite N. Determination of other observables is currently under way. Application of the twisted reduction idea to the case of 1 or 2 flavours of quarks in the adjoint representation of the group offers promising results. Preliminary results for the string tension point towards a very different behaviour for 1 and 2 flavours. While the string tension remains finite for 1 flavour at the critical massless quark limit, it seems to vanish with a large anomalous dimension for the case. This is consistent with the predicted Infrared fixed point expected in the latter case.
Cite
@article{arxiv.1303.4921,
title = {Confinement in large N gauge theories},
author = {Antonio González-Arroyo and Masanori Okawa},
journal= {arXiv preprint arXiv:1303.4921},
year = {2013}
}
Comments
latex 8 pages, 2 figures. Contribution to Xth Conference on Quark Confinement and the Hadron Spectrum (2012)