Self-consistent theory of compact QED3 with relativistic fermions

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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18 pages. Minor typographical errors corrected, journal references updated

Scientific paper

10.1016/j.nuclphysb.2003.10.050

We consider three dimensional quantum electrodynamics (cQED3) with massless relativistic fermions coupled to a compact gauge field using a combined perturbative variational approach. Coupling to matter renders the bare interaction between magnetic monopoles logarithmic at large distances, suggesting the possibility of a confinement-deconfinement transition of the Berezinskii-Kosterlitz-Thouless type in the theory. Our self-consistent calculation suggests, however, that screening effects always destabilise the confined phase, in agreement with the previous renormalisation group study of the same model.

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