A Hilbert Space setting for s ≥1 interactions which replaces Gauge Theory
2014
The recently discovered Hilbert space description of renormalizable interactions of higher spin s�1 fields requires to replace the pointlocal s=1 vectorpotentials of indefinite metric (Krein space) BRST gauge theory by their stringlike counterpart in Hilbert space. It is shown that the Hilbert space positivity leads to new properties outside the conceptual range of the gauge theoretic description: topological aspects of Wilson loops, induced normalization terms, in particular Mexican hat type potentials for massive vectormesons coupled to Hermitian scalar field and a possible role of string-localization in confinerment and ”darkness”.
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