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trailThe physically meaningful Aharonov-Bohm phase of a test quark in a superfluid is that of the dressed charge
Aharonov-Bohm phases of test quarks around superfluid vortices distinguish Higgs from confining regimes
The phase of a vortex-line operator linking an electric Wilson line distinguishes Higgs from confining regimes
Unavoidable dressing· for
In a superfluid, physical test-quark states are unavoidably dressed by the gapless superfluid mode
atomic
Aharonov-Bohm phases of dressed quark quasiparticles interpolate smoothly between Higgs and confining regimes
atomic
Physical distinctions between phases must be detectable by measurements on finite-energy physical states
Genuine thermodynamic phase transitions produce nonanalytic behavior in measurable bulk observables
Local gauge-variant order parameters cannot distinguish phases of gauge theories
Nonanalytic behavior of gauge-invariant correlation functions marks a physical distinction between phases
Phases of matter with the same symmetry-breaking pattern can always be connected without a phase transition
Line-operator diagnostic· against
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
shared · shown elsewhere
A factual claim that rests on inference from other evidence rather than direct observation.constitutionclaim page ↗︎
The physically meaningful Aharonov-Bohm phase of a test quark in a superfluid is that of the dressed charge
Credible evidence or argument exists on multiple sides.constitution
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