## Physics Faculty Publications

#### Abstract

Recent dispersive techniques developed by us are applied to discuss three problems: 1. A long standing discrepan-cy between the measurements of $R(s)$ for $\sqrt{s} = (5\div 7.5)GeV$ by Crystal Ball and MARK I has been analyzed and its consequences analyzed for the number of contributing quarks. 2. Noting that the perturbative $\alpha_s$ has the wrong analyticity, analytic models consistent with asymptotic freedom (AF) and confinement have been constructed and applied to discuss $\tau$ decay. 3. It is shown that AF leads to a wrong sign for $\im\big(\alpha(s)\big)$ which signals an instability of the perturbative QCD vacuum.

#### Notes

Originally posted at http://arxiv.org/abs/hep-ph/0106005v4.

#### Keywords

high energy physics phenomenology, $\alpha_s$, $R_{had}$, perturbative vacuum, dispersive techniques

Quarks

Physics

2001

#### Permanent URL

http://hdl.handle.net/2047/d20000747

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COinS