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Sfb 288 Differential Geometry and Quantum Physics |
Abstract for Sfb Preprint No. 393
Massive Vectormesons and Gauge Theory Michael Duetsch and Bert Schroer
We show that the requirements of renormalizability and physical consistency imposed on perturbative interactions of massive vectormesons o/x the interactions essentially uniquely, i.e. the physical particle content together with renormalizability determines the theory. In particular physical consistency requires the presence of at least one additional (scalar) degree of freedom which was not part of the originally required physical particle content. In its simplest realization (probably the only one) this is a scalar o/eld as envisaged by Higgs but without the Higgs condensate. The result agrees precisely with the usual quantization of a classical gauge theory by means of the Higgs mechanism. Hence the principles of local quantum physics via Bohr's correspondence explain the gauge principle as a selection principle among the many (semi)classical coupling possibilities. The statement that the renormalization and consistency requirements of spin=1 QFT lead to the gauge theory structure may be viewed as the inverse of 't Hooft#39;s famous renormalizability proof in (quantized) gauge theories. We also comment on an alternative ghostfree formulation which avoids jo/eld coordinatesj alltogether and is analogous to a perturbative version of the d=1+1 formfactor program
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