2012/03/06 by Xiang-Song Chen, Chen, Xiang-Song · 1 citation
Engineering · Physics and Astronomy · #Atomic and Subatomic Physics Research #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Superconducting Materials and Applications
paper · pdf · doi:10.48550/arxiv.1203.1288
openalex publication_date 2012/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
By separating the gluon field into physical and pure-gauge components, the usual Poincaré subalgebra for an interacting system can be reconciled with gauge-invariance when decomposing the total rotation and translation generators of QCD into quark and gluon parts. The gauge-invariant quark/gluon parts act as the generators for the gauge-invariant physical component of the quark/gluon field, not the full quark/gluon field which also contains the gauge degrees of freedom. We clarify that the naive canonical decomposition of generators, while trivially respecting the Poincaré subalgebra, might not give a completely gauge-invariant quark-gluon structure of the nucleon momentum and spin, though limited invariance within a certain gauge class can be proven.