English

Confinement in large N gauge theories

High Energy Physics - Lattice 2013-03-21 v1 High Energy Physics - Theory

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 Nf=2N_f=2 case. This is consistent with the predicted Infrared fixed point expected in the latter case.

Keywords

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)

R2 v1 2026-06-21T23:45:05.802Z