Abstract
Since about 1974 gauge-theories become something like a “party-line” in theoretical elementary particle physics. This means that a wide-spread belief links most of our basic ideas with the concept of a local gauge-invariance of nature, although no definite proof exists so far that gauge fields are really there — except in quantum electrodynamics (and gravity?) Admittedly the amount of supporting facts is quite impressive. It ranges from a possible unification of weak and electromagnetic interactions in such a scheme [1] to a number of qualitative, but rather convincing arguments in the field of strong interaction physics, if the latter is based on a field theory of gluon gauge fields. We cite “asymptotic freedom”, which could explain the almost perfect scaling of deep electroproduction [2], the enhancement of ΔI = 1/2 - amplitudes in weak nonleptonic decays [3] and, as an example for a more theoretical result, the persistent ultraviolet divergence of radiative corrections to all orders in the coupling of a gluon-field to matter [4].
Lecture given at XV. Internationale Universitätswochen für Kernphysik, Schladming, Austria,February 16–27,1976.
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Kummer, W. (1976). Renormalization of Nonabelian Gauge Fields. In: Urban, P. (eds) Current Problems in Elementary Particle and Mathematical Physics. Few-Body Systems, vol 15/1976. Springer, Vienna. https://doi.org/10.1007/978-3-7091-8462-2_12
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