The string tension from smeared Wilson loops at large N

Abstract

We present the results of a high statistics analysis of smeared Wilson loops in 4 dimensional SU(N) Yang-Mills theory for various values of N. The data is used to analyze the behaviour of smeared Creutz ratios, extracting from them the value of the string tension and other asymptotic parameters. A scaling analysis allows us to extrapolate to the continuum limit for N=3,5,6 and 8. The results are consistent with a $1/N^2$ approach towards the large N limit. The same analysis is done for the TEK model (one-point lattice) for N=841 and a non-minimal symmetric twist with flux of $k=9$. The results match perfectly with the extrapolated large N values, confirming the validity of the reduction idea for this range of parameters.

Enlarged revised version with 2 tables and 3 figures

References in corpus (4)

• Volume independence in large Nc QCD-like gauge theories
• Symmetry Breaking In Twisted Eguchi-Kawai Models
• Phase structure of twisted Eguchi-Kawai model
• On the running of the bare coupling in SU(N) lattice gauge theories

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• Volume dependence in 2+1 Yang-Mills theory
• The string tension for Large N gauge theory from smeared Wilson loops
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• Numerical determination of the $\Lambda$-parameter in SU(3) gauge theory from the twisted gradient flow coupling
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• Large-N reduction with adjoint Wilson fermions
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• A comparison of updating algorithms for large N reduced models
• Large Nc volume reduction and chiral random matrix theory
• Meson masses and decay constants at large $N$