Monday, October 10, 2005

Also in AIP

I read this and realized how ridiculous it must sound. If I didn't know what the terms meant, I would just assume it was Star Trek technobable. Poorly written technobable.

Gauge independent approach to chiral symmetry breaking in a strong magnetic field. [hep-ph/0510066 CROSS LISTED] The gauge independence of the dynamical fermion mass generated through chiral symmetry breaking in weakly coupled 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. A comparison to the results obtained in the literature is discussed in detail. By establishing a direct correspondence between the truncated Schwinger-Dyson equations and the 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. ePrint arXiv http://xxx.arxiv.cornell.org/
10 October 2005

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