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On the Interplay of Fermions and Monopoles in Compact QED_3

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arxiv hep-lat/0601001 v1 pith:BULTAOAJ submitted 2005-12-30 hep-lat cond-mat.str-el

Simon Hands , John B. Kogut , Biagio Lucini This is my paper · ORCID
classification hep-latcond-mat.str-el
keywords chiralmagneticchargecompactfermionslatticelimitmonopole
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The infra-red properties of three-dimensional abelian lattice gauge theory are known to be governed by a neutral plasma of magnetic monopole excitations. We address the fate of these monopoles in the presence of light dynamical fermions, using a lattice formulation of compact QED_3 with N_f=4 fermion flavors supplemented by a four-fermi contact term permitting numerical Monte Carlo simulations in the chiral limit. Our data hint at a restoration of chiral symmetry above a critical value of the (inverse) coupling beta. By performing simulations in a sector of non-vanishing magnetic charge, we are able to study the response of the theory to an external magnetic test charge. Our results suggest that the monopole plasma persists even once chiral symmetry is restored, and hence survives the continuum limit.

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  1. Numerical determination of monopole scaling dimension in parity-invariant three-dimensional non-compact QED

    hep-lat 2019-08 conditional novelty 7.0 of 10

    Monte Carlo measurement gives monopole scaling dimension Delta(12)=3.24(24), consistent with large-N theory, and positive finite-N corrections for N=2,4 that disagree in sign with the leading 1/N expansion.

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