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arXiv · 1603.09371

Vortex driven phase transition in Topologically Massive QED

Yuichi Hoshino
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Abstract

There is chiral like symmetry for 4-component massless fermion in (2+1)-dimensional gauge theory.Since QED$_{3}$ with Chern-Simons term contains vortex solution for vector potential,one may expect vortex driven phase transition as Kosterlitz-Thouless type where chiral condensate is washed away at zero temperature.To study this possibility,we evaluate the fermion propagator by Dyson-Schwinger equation numerically and spectral function analytically in the Landau gauge.For quenched case we adopt Ball-Chiu vertex to keep gauge invariance of the results.The critical value of topological mass,above which chiral condensate washed away, turned out to be $O(10^{-2})e^{2}$ at least for weak coupling in both cases.

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Yuichi Hoshino. 2016-03-30. Vortex driven phase transition in Topologically Massive QED. https://doi.org/10.1007/s00601-017-1279-1

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