期刊
NUCLEAR PHYSICS B
卷 747, 期 1-2, 页码 266-293出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.nuclphysb.2006.04.028
关键词
gauge independence; chiral symmetry; magnetic field; Schwinger-Dyson equations; 1/N expansion
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/N-f expansion (N-f 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. (c) 2006 Elsevier B.V. All Rights reserved.
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