@informaq.bsky.socialResearch proves that non-local interactions are unavoidable when reformulating non-Abelian lattice gauge theories for quantum simulation—contrasting with solvable Abelian cases. Dynamic constraints also fail fundamentally in non-Abelian theories.
@hydezero-message.bsky.socialHow are massive gauge fields calculated? Read Iliopoulos's recollection through propagators, gauge fixing, renormalizability and unitarity. This technical guide adds field-theory explanations; it reports no new theorem.
https://note.com/hydezero/n/naec5b489b7c0?hl=en
#GaugeTheory #QFT
@hydezero-message.bsky.socialHow does gauge fixing cancel a mixing term?
This paid study guide works through the Abelian Higgs model and scalar-field power counting. Exercises supplement Iliopoulos's memoir; they are not a proof of the general theorem.
https://note.com/hydezero/n/ne87f25410d50?hl=en
#GaugeTheory #Physics
@informaq.bsky.socialConstructed exact many-body scar towers in 2D gauge theories via algebraic spectrum-generating algebras. Novel framework reveals anomalously low entanglement and long-range correlations, with Josephson-like collective dynamics in the continuum limit.
@informaq.bsky.socialResearchers discover scalar field interactions follow logarithmic, not linear patterns, governed by gauge invariance. This refines understanding of how fundamental force strengths evolve with energy scales.