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Summary: Perturbative gauge invariance: electroweak theory II
Andreas Aste and GuČnter Scharf1
Institut fuČr Theoretische Physik der UniversitaČt ZuČrich,
Winterthurerstraűe 190, CH-8057 ZuČrich, Switzerland
Michael DuČtsch2
II. Institut fuČr Theoretische Physik, UniversitaČt Hamburg,
Luruper Chaussee 149, D-22761 Hamburg, Germany
Received 5 March 1999, accepted 8 March 1999
Abstract. A recent construction of the electroweak theory, based on perturbative quantum gauge
invariance alone, is extended to the case of more generations of fermions with arbitrary mixing.
The conditions implied by second order gauge invariance lead to an isolated solution for the ferm-
ionic couplings in agreement with the standard model. Third order gauge invariance determines
the Higgs potential. The resulting massive gauge theory is manifestly gauge invariant, after con-
struction.
1 Introduction
In a recent paper [1] we have described a formulation of the electroweak theory in
terms of asymptotic fields alone. Since in our causal approach the asymptotic
gauge fields are massive from the very beginning (except the photon), spontaneous
symmetry breaking plays no role.
Let us summarize the strategy. The fundamental problem in gauge theories is
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