Gauge independent approach to chiral symmetry breaking in a strong magnetic field
學年 94
學期 2
出版(發表)日期 2006-07-17
作品名稱 Gauge independent approach to chiral symmetry breaking in a strong magnetic field
作品名稱(其他語言)
著者 Leung, C. N.; Wang, S. Y.
單位 淡江大學物理學系
出版者 Elsevier
著錄名稱、卷期、頁數 Nuclear Physics B 747(1-2), p.266-293
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.
關鍵字 Gauge independence;Chiral symmetry;Magnetic field;Schwinger–Dyson equations;1/N expansion
語言 en
ISSN 0550-3213
期刊性質 國內
收錄於 SCI
產學合作
通訊作者
審稿制度
國別 TWN
公開徵稿
出版型式 ,電子版
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