"Light from chaos" in two dimensions

Abstract

We perform a Monte-Carlo study of the lattice two-dimensional gauged XY-model. Our results confirm the strong-coupling expansion arguments that for sufficiently small values of the spin-spin coupling the ``gauge symmetry breaking" terms decouple and the long-distance physics is that of the unbroken pure gauge theory. We find no evidence for the existence, conjectured earlier, of massless states near a critical value of the spin-spin coupling. We comment on recent remarks in the literature on the use of gauged XY-models in proposed constructions of chiral lattice gauge theories.

6 pages, 7 figures

References in corpus (5)

• Lattice Chiral Gauge Theories
• Lattice Formulation of the Standard Model
• Exact Chiral Symmetry on the Lattice
• Chiral Lattice Gauge Theories from Warped Domain Walls and Ginsparg-Wilson Fermions
• Scaling in the two-dimensional U(1)--Higgs model

Cited by in corpus (13)

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• Exact emergent higher-form symmetries in bosonic lattice models
• Gauge symmetry from decoupling
• On the decoupling of mirror fermions
• Emergent higher-symmetry protected topological orders in the confined phase of $U(1)$ gauge theory
• On the gauge invariant path-integral measure for the overlap Weyl fermions in $\underline{16}$ of SO(10)
• Why is the mission impossible? -- Decoupling the mirror Ginsparg-Wilson fermions in the lattice models for two-dimensional abelian chiral gauge theories
• Reliability of lattice gauge theories in the thermodynamic limit
• Lattice chirality, anomaly matching, and more on the (non)decoupling of mirror fermions
• Gauge-Symmetry Protection Using Single-Body Terms