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Non-perturbative beta function in three-dimensional electrodynamics
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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
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Thermal free energy of large Nf QED in 2+1 dimensions from weak to strong coupling
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.
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Numerical determination of monopole scaling dimension in parity-invariant three-dimensional non-compact QED
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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