Dynamical mass generation in QED<sub>3</sub> beyond the instantaneous approximation

Hai-Xiao Xiao; Jian-Feng Li; Wei Wei; Pei-Lin Yin; Hong-Shi Zong

doi:10.1088/1674-1137/41/7/073102

Chinese Physics C> 2017, Vol. 41> Issue(7) : 073102 DOI: 10.1088/1674-1137/41/7/073102

Dynamical mass generation in QED₃ beyond the instantaneous approximation

Hai-Xiao Xiao ¹ ,
Jian-Feng Li ^1,2 ,
Wei Wei ¹ ,
Pei-Lin Yin ³ ,
Hong-Shi Zong ^1,4,5,,

1.
Department of Physics, Nanjing University, Nanjing 210093, China
2.
Department of Physics, Nanjing University, Nanjing 210093, China
3.
College of Mathematics and Physics, Nantong University, Nantong 226019, China
4.
Department of Physics, Southeast University, Nanjing 211189, China
5.
Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China
6.
State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

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Abstract：
In this paper, we investigate dynamical mass generation in (2+1)-dimensional quantum electrodynamics at finite temperature. Many studies are carried out within the instantaneous-exchange approximation, which ignores all but the zero-frequency component of the boson propagator and fermion self-energy function. We extend these studies by taking the retardation effects into consideration. In this paper, we get the explicit frequency n and momentum p dependence of the fermion self-energy function and identify the critical temperature for different fermion flavors in the chiral limit. Also, the phase diagram for spontaneous symmetry breaking in the theory is presented in T_c-N_f space. The results show that the chiral condensate is just one-tenth of the scale of previous results, and the chiral symmetry is restored at a smaller critical temperature.
- QED3 ,
- dynamical gap generation ,
- critical temperature ,
- Nf-T phase diagram

References

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Hai-Xiao Xiao, Jian-Feng Li, Wei Wei, Pei-Lin Yin and Hong-Shi Zong. Dynamical mass generation in QED₃ beyond the instantaneous approximation[J]. Chinese Physics C, 2017, 41(7): 073102. doi: 10.1088/1674-1137/41/7/073102

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Received: 2017-03-29

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Supported by National Natural Science Foundation of China (11475085, 11535005, 11690030), Natural Science Foundation of Jiangsu Province (BK20130387) and Jiangsu Planned Projects for Postdoctoral Research Funds (1501035B)

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Dynamical mass generation in QED₃ beyond the instantaneous approximation

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Dynamical mass generation in QED3 beyond the instantaneous approximation

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Dynamical mass generation in QED3 beyond the instantaneous approximation

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Dynamical mass generation in QED₃ beyond the instantaneous approximation

Dynamical mass generation in QED₃ beyond the instantaneous approximation