Wilson Loops in Non-Compact U(1) Gauge Theories at Criticality

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dc.creatorMetlitski, Max A.
dc.date2007-10-19
dc.date.accessioned2026-07-07T11:38:15Z
dc.date.available2026-07-07T11:38:15Z
dc.descriptionWe study the properties of Wilson loops in three dimensional non-compact U(1) gauge theories with global abelian symmetries. We use duality in the continuum and on the lattice, to argue that close to the critical point between the Higgs and Coulomb phases, all correlators of the Wilson loops are periodic functions of the Wilson loop charge, Q. The period depends on the global symmetry of the theory, which determines the magnetic flux carried by the dual particles. For single flavour scalar electrodynamics, the emergent period is Q = 1. In the general case of N complex scalars with a U(1)^{N-1} global symmetry, the period is Q = N. We also give some arguments why this phenomenon does not generalize to theories with a full non-abelian SU(N) symmetry, where no periodicity in Q is expected. Implications for lattice simulations, as well as for physical systems, such as easy plane antiferromagnets and disordered superfluids, are noted.
dc.description25 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0710.3771
dc.identifierhttp://arxiv.org/abs/0710.3771
dc.identifierPhys.Rev.D77:085011,2008
dc.identifierdoi:10.1103/PhysRevD.77.085011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199492
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titleWilson Loops in Non-Compact U(1) Gauge Theories at Criticality
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