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Study of Dynamical Chiral Symmetry Breaking in (2 + 1) Dimensional Abelian Higgs Model
Department of Physics, Nanjing University, Nanjing 210093, China
Department of Physics, Nanjing Normal University, Nanjing 210097, China
Department of Physics, Southeast University, Nanjing 211189, China
Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China
* Author to whom correspondence should be addressed.
Received: 5 October 2009; in revised form: 10 April 2010 / Accepted: 15 April 2010 / Published: 19 April 2010
Abstract: In this paper, we study the dynamical mass generation in the Abelian Higgs model in 2 + 1 dimensions. Instead of adopting the approximations in [Jiang H et al., J. Phys. A 41 2008 255402.], we numerically solve the coupled Dyson–Schwinger Equations (DSEs) for the fermion and gauge boson propagators using a specific truncation for the fermion-photon vertex ansatz and compare our results with the corresponding ones in the above mentioned paper. It is found that the results quoted in the above paper remain qualitatively unaffected by refining the truncation scheme of the DSEs, although there exist large quantitative differences between the results presented in the above paper and ours. In addition, our numerical results show that the critical number of fermion flavor Nc decreases steeply with the the gauge boson mass ma (or the ratio of the Higgs mass mh to the gauge boson mass ma, r = mh/ma) increasing. It is thus easier to generate a finite fermion mass by the mechanism of DCSB for a small ratio r for a given ma.
Keywords: QED3; Abelian Higgs model; gauge boson mass; Ginzburg–Landau parameter
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Li, J.-F.; Huang, S.-S.; Feng, H.-T.; Sun, W.-M.; Zong, H.-S. Study of Dynamical Chiral Symmetry Breaking in (2 + 1) Dimensional Abelian Higgs Model. Symmetry 2010, 2, 907-915.
Li J-F, Huang S-S, Feng H-T, Sun W-M, Zong H-S. Study of Dynamical Chiral Symmetry Breaking in (2 + 1) Dimensional Abelian Higgs Model. Symmetry. 2010; 2(2):907-915.
Li, Jian-Feng; Huang, Shi-Song; Feng, Hong-Tao; Sun, Wei-Min; Zong, Hong-Shi. 2010. "Study of Dynamical Chiral Symmetry Breaking in (2 + 1) Dimensional Abelian Higgs Model." Symmetry 2, no. 2: 907-915.