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    题名: Gauge independent approach to chiral symmetry breaking in a strong magnetic field
    作者: Leung, C. N.;王尚勇;Wang, S. Y.
    贡献者: 淡江大學物理學系
    关键词: Gauge independence;Chiral symmetry;Magnetic field;Schwinger–Dyson equations;1/N expansion
    日期: 2006-07-17
    上传时间: 2009-12-31 10:38:38 (UTC+8)
    出版者: Elsevier
    摘要: The gauge independence of the dynamical fermion mass generated through chiral symmetry breaking in QED in a strong, constant external magnetic field is critically examined. We show that the bare vertex approximation, in which the vertex corrections are ignored, is a consistent truncation of the Schwinger–Dyson equations in the lowest Landau level approximation. The dynamical fermion mass, obtained as the solution of the truncated Schwinger–Dyson equations evaluated on the fermion mass shell, is shown to be manifestly gauge independent. By establishing a direct correspondence between the truncated Schwinger–Dyson equations and the 2PI (two-particle-irreducible) effective action truncated at the lowest nontrivial order in the loop expansion as well as in the 1/Nf expansion (Nf is the number of fermion flavors), we argue that in a strong magnetic field the dynamical fermion mass can be reliably calculated in the bare vertex approximation.
    關聯: Nuclear Physics B 747(1-2), pp.266-293
    DOI: 10.1016/j.nuclphysb.2006.04.028
    显示于类别:[物理學系暨研究所] 期刊論文


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