Study of Dynamical Chiral Symmetry Breaking in 2 1 Dimensional Abelian Higgs ModelReport as inadecuate




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1

Department of Physics, Nanjing University, Nanjing 210093, China

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Department of Physics, Nanjing Normal University, Nanjing 210097, China

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Department of Physics, Southeast University, Nanjing 211189, China

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Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China





*

Author to whom correspondence should be addressed.



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 QED3; Abelian Higgs model; gauge boson mass; Ginzburg–Landau parameter





Author: Jian-Feng Li 1, Shi-Song Huang 2, Hong-Tao Feng 3, Wei-Min Sun 1,4 and Hong-Shi Zong 1,4,*

Source: http://mdpi.com/



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