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Non-perturbative beta function in three-dimensional electrodynamics

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arxiv 1405.6916 v1 pith:4R4CNHOC submitted 2014-05-27 hep-lat

classification hep-lat
keywords betafunctiontheoryabelianapplycalculatedconfinementconformal
verification ladder T0 review T1 audit T2 compute T3 formal
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We apply the Schrodinger functional method to the Abelian gauge theory in three dimensions with Nf=2 four-component fermions. We find that the calculated beta function does not cross zero in the range of coupling we study. This implies that the theory exhibits confinement and mass generation, rather than a conformal infared regime.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Thermal free energy of large Nf QED in 2+1 dimensions from weak to strong coupling

    hep-th 2019-08 conditional novelty 7.0 of 10

    For QED in 2+1 dimensions with many fermion flavors, the thermal pressure to next-to-leading order in 1/Nf is computed across all couplings, giving a curve bounded by the free-fermion and free-photon pressures.

  2. 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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