trailPhysical distinctions between phases must be detectable by measurements on finite-energy physical states
The physically meaningful Aharonov-Bohm phase of a test quark in a superfluid is that of the dressed charge
Nonanalytic behavior of gauge-invariant correlation functions marks a physical distinction between phases
Operational grounding of phase structure· for
Genuine thermodynamic phase transitions produce nonanalytic behavior in measurable bulk observables
atomic
Local gauge-variant order parameters cannot distinguish phases of gauge theories
atomic
Phases of matter with the same symmetry-breaking pattern can always be connected without a phase transition
Higgs and confining regimes of gauge theories with fundamental matter are continuously connected without a phase transition
Topological order can distinguish phases of matter that have identical symmetry realization
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Distinct realizations of generalized global symmetries correspond to distinct phases of matter
Sharp structure in gauge-invariant correlators· 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
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Physical distinctions between phases must be detectable by measurements on finite-energy physical states
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