Canonical (anti-)commutation rules in QCD and unbroken gauge invariance, QCD - the two central anomalies and canonical structure

Abstract

The regularities at large distances of complete gauge invariance in QCD are shown to bear nontrivial consequences for the selection among inequivalent representations of canonical commutation (anticommutation) rules for gauge boson (quark) fields. The trace anomaly forces a modification of the gauge boson Lagrangean and by this of the entire associated canonical structure.

arXiv commentLectures prepared for the '1. IAS-CERN School on Particle Physics and Cosmology and Implications for Technology, 9. to 31. January 2012, Nanyang Executive Center/NTU, Singapore; furthertypographical errors corrected, 1 misplaced letter 'i' in eq. (20) deleted