Dynamical Mass in Strongly Coupled QED

Details Dynamical Mass in Strongly Coupled QED Dynamical Mass in Strongly Coupled QED

1996-04-04

arxiv.org/abs/hep-ph/9604241v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

29 pages, LaTeX 2e, To appear in Proc. 14th Symposium on Theoretical Physics ``Dynamical Symmetry Breaking and Effective Field

Scientific paper

We review dynamical mass generation in three and four dimensional Ableian gauge theories. The basic approach analyzed here is to solve Schwinger-Dyson equations in some approximations. In both cases, the coupling has to be larger than a critical value to have dynamical symmetry breaking. In $QED_4$, chiral symmetry is spontaneouly broken if $\alpha>\alpha_c (\simeq \pi/3)$ in ladder approximation. The electron becomes massive, and is realized as Skyrmion in the low energy effective action. In $QED_3$, electron gets dynmical mass in $1/N$ expansion if $N

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