Gauge independent approach to chiral symmetry breaking in a strong magnetic field

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dc.creatorLeung, C. N.
dc.creatorWang, S. -Y.
dc.date2005-10-06
dc.date2006-06-12
dc.date.accessioned2026-07-07T11:58:38Z
dc.date.available2026-07-07T11:58:38Z
dc.descriptionThe 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.
dc.description37 pages, 5 figures, typos corrected, published version
dc.identifierhttps://arxiv.org/abs/hep-ph/0510066
dc.identifierhttp://arxiv.org/abs/hep-ph/0510066
dc.identifierNucl.Phys.B747:266-293,2006
dc.identifierdoi:10.1016/j.nuclphysb.2006.04.028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206293
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectAstrophysics
dc.subjectMesoscale and Nanoscale Physics
dc.subjectHigh Energy Physics - Theory
dc.titleGauge independent approach to chiral symmetry breaking in a strong magnetic field
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