Document Type

Working Paper

Date

2010

Embargo Period

9-22-2010

Keywords

High Energy Physics, Phenomenology, High Energy Physics, Lattice

Language

English

Disciplines

Physics

Description/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.

Additional Information

RevTeX, 2colmuns, 6 pages and 7 figures

Source

Metadata from ArXiv.org

Included in

Physics Commons

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