Line-operator diagnostic
The argument
Because the phase of a vortex-line correlator linking an electric Wilson line changes non-analytically between Higgs and confining regimes in a 2+1D lattice model, the undressed phase has sharp, gauge-invariant structure that dressing erases; given that this correlator phase distinguishes the Higgs from the confining regime, a physically meaningful Aharonov-Bohm phase other than the dressed one exists, and the claim's exclusivity fails.
Does it work?
Not yet evaluated.
Premises
- InconclusiveThe evidence and argument have been examined and do not come down on either side.constitution →The phase of a vortex-line operator linking an electric Wilson line distinguishes Higgs from confining regimes
- SupportedThe evidence favors the claim, but the examination is incomplete or the evidence is indirect.constitution →In a 2+1D lattice gauge theory with fundamental scalars, the phase of a vortex-line correlator linking a Wilson line changes non-analytically between Higgs and confining regimes
Where it is made
Passages where sources make, criticize or mention this argument. They record where it appears, not how strong it is, and none has precedence over another.
No source is recorded as making it.
Earlier ratings
- Aug 3, 2026
The inference is valid granting its premises: if the vortex-line correlator phase both has sharp non-analytic structure and genuinely distinguishes the regimes, then a physically meaningful phase other than the dressed one exists and the claim's exclusivity fails. The lattice computation that the correlator phase changes non-analytically between the regimes is solid published analysis that the opposing camp does not dispute. The weight rests entirely on whether that correlator phase counts as distinguishing the phases physically, which remains contested because it turns on rejecting the finite-energy detectability criterion.