Chiral symmetry breakdown. I. Gauge dependence in constant vertex approximation

Journal of Mathematical Physics - Tập 28 Số 10 - Trang 2488-2493 - 1987
David Atkinson1, Peter Y. Johnson1
1Institute for Theoretical Physics, P.O. Box 800, 9700 AV Groningen, The Netherlands

Tóm tắt

An approximate quark propagator equation in a Landau-like gauge is analyzed and it is shown that there is a critical value of the coupling constant, corresponding to the onset of dynamical chiral symmetry breakdown, provided that (a) there is an infrared cutoff, which can be supplied by an effective gluon mass, and (b) there is an ultraviolet cutoff, which may be engendered by a running coupling constant. Dynamical chiral symmetry breakdown is shown not to occur in other gauges under the same circumstances, thus casting doubt upon the approximations commonly used.

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Thông tin xuất bản

Journal of Mathematical Physics

Tập 28 Số 10

2488-2493

Thông tin tác giả