Nonperturbative Results for Yang-Mills Theories

Abstract

Some non perturbative aspects of the pure SU(3) Yang-Mills theory are investigated assuming a specific form of the beta function, based on a recent modification by Ryttov and Sannino of the known one for supersymmetric gauge theories. The characteristic feature is a pole at a particular value of the coupling constant, g. First it is noted, using dimensional analysis, that physical quantities behave smoothly as one travels from one side of the pole to the other. Then it is argued that the form of the integrated beta function g(m), where m is the mass scale, determines the mass gap of the theory. Assuming the usual QCD value one finds it to be 1.67 GeV, which is in surprisingly good agreement with a quenched lattice calculation. A similar calculation is made for the supersymmetric Yang-Mills theory where the corresponding beta function is considered to be exact.

RevTeX, 2colmuns, 6 pages and 7 figures

References in corpus (6)

• Efficient glueball simulations on anisotropic lattices
• Supersymmetry Inspired QCD Beta Function
• Glueball masses in the large N limit
• Glueball Mass Predictions of the Valence Approximation to Lattice QCD
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Cited by in corpus (6)

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• Fixed point merger in the SU(N) gauge beta functions
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• Study of the Renormalization-Group Evolution of $\mathcal{N}=1$ Supersymmetric Gauge Theories Using Padé Approximants