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arXiv · 1408.6307

The chiral phase transition of QED$_3$ around the critical number of fermion flavors

Pei-lin Yin·Zhu-fang Cui·Hong-tao Feng·Hong-shi Zong
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Abstract

At zero temperature and density, the nature of the chiral phase transition in QED$_3$ with $\textit{N}_{f}$ massless fermion flavors is investigated. To this end, in Landau gauge, we numerically solve the coupled Dyson-Schwinger equations for the fermion and boson propagator within the bare and simplified Ball-Chiu vertices separately. It is found that, in the bare vertex approximation, the system undergoes a high-order continuous phase transition from the Nambu-Goldstone phase into the Wigner phase when the number of fermion flavors $\textit{N}_{f}$ reaches the critical number $\textit{N}_{f,c}$, while the system exhibits a typical characteristic of second-order phase transition for the simplified Ball-Chiu vertex.

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Pei-lin Yin, Zhu-fang Cui, Hong-tao Feng, Hong-shi Zong. 2014-08-27. The chiral phase transition of QED$_3$ around the critical number of fermion flavors. https://doi.org/10.1016/j.aop.2014.06.004

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