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concentration (Ditchburn, Tunstead and Yates 1943) was employed. NO trace of molecular absorption was detected. If only atomic absorption is present,B is the total absorption, U is the atomic absorption cross

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Non-abelian gauge theories may have continuum limits in more than four dimensions, supported by non-trivial ultra-violet fixed points. Moreover, such theories can be expected to be accessible to Wilson's epsilon expansion. We investigate this series for SU(N ) Yang-Mills, in particular for the fixed point coupling and exponent ν, up to four loops. From the model-building point of view, such theories would be effectively perturbatively renormalizable in the normal way. A particularly attractive possibility is the construction of renormalizable extra-dimensional models of the weak interactions, which have the potential to address the full hierarchy problem. The simplest such gauge-Higgs unification model is however ruled out by a combination of theoretical and phenomenological constraints.

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