Self-consistent theory of compact QED3 with relativistic fermions

Matthew J. Case; Babak H. Seradjeh; Igor F. Herbut

doi:10.1016/j.nuclphysb.2003.10.050

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Self-consistent theory of compact QED3 with relativistic fermions

Matthew J. Case·Babak H. Seradjeh·Igor F. Herbut

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Abstract

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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Matthew J. Case, Babak H. Seradjeh, Igor F. Herbut. 2003-12-15. Self-consistent theory of compact QED3 with relativistic fermions. https://doi.org/10.1016/j.nuclphysb.2003.10.050

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