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Higgs Mechanism and Symmetry Breaking without Redundant Variables
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The Higgs mechanism is reconsidered in the canonical Weyl gauge formulation of quantized gauge theories, using an approach in which redundant degrees of freedom are eliminated. As a consequence, its symmetry aspects appear in a different light. All the established physics consequences of the Higgs mechanism are recovered without invoking gauge symmetry breaking. The occurence of massless vector bosons in non-abelian Higgs models is interpreted as signal of spontaneous breakdown of certain global symmetries. Characteristic differences between the relevant ``displacement symmetries'' of QED and the Georgi Glashow model are exhibited. Implications for the symmetry aspects of the electroweak sector of the standard model and the interpretation of the physical photon as Goldstone boson are pointed out.
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Ground State Wave Function Overlap in Superconductors and Superfluids
Ground state wavefunction overlap vanishes for generic phase rotations in bosonic condensates and equals one only for the electromagnetic rotation in superconductors, mapping directly to the Goldstone spectrum.
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