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Confinement in large N gauge theories

2013/03/20 by Antonio González-Arroyo, González-Arroyo, Antonio, M. Okawa +2
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-th

paper · pdf · doi:10.48550/arxiv.1303.4921

latex 8 pages, 2 figures. Contribution to Xth Conference on Quark Confinement and the Hadron Spectrum (2012)

arxiv created 2013/03/20 · openalex publication_date 2013/03/20 · arxiv updated 2013/03/21 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

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

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