First-order Phase Transition in Three-dimensional QED with Chern--Simons Term

Abstract

We have studied the chiral phase transition in three-dimensional QED in the presence of a Chern--Simons term for the gauge field. There exists a phase where the chiral symmetry is broken dynamically and we have determined the critical line for this symmetry breaking as a function of the effective coupling and the strength of the additional Chern--Simons term. In the presence of a Chern--Simons term, the chiral phase transition turns out to be first order, in sharp contrast to the phase transition in pure three-dimensional QED.

8 pages, LaTeX, final version, to be published in Phys. Rev. Lett

References in corpus (3)

• Dyson-Schwinger Equations and the Application to Hadronic Physics
• Chern-Simons Theory and the Quark-Gluon Plasma
• Dynamical Breakdown of Chirality and Parity in (2+1)-dimensional QED

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