【摘要】 本文用重整化群方程和Dyson方程研究了量子色动力学(QCD)中的动力学自发破缺问题.指出:(1)研究QCD中A类模型的动力学自发破缺这类非微扰问题时,电磁作用(和弱作用)的贡献是不能忽略的.(2)对许多实际模型(A类模型)来说,在QCD渐近自由时,对层子间的电磁作用做弱耦合近似的计算后,得到动力学自发破缺出现的结论.如果现在量子电动力学仍能用Johnson-Baker-Willey的自洽处理,或β_e有一紫外稳定固定点e_∞≠0(β_e的简单零点)且e_∞不太大,则上述结论在电磁作用的计算超出弱耦合近似时仍成立.更多还原

【Abstract】 Dynamical symmetry breakings in quantum chromodynamics (QCD) are investigated by means of the renormalization-group equations and the Dyson equations. It is shown that: (1) The electromagnetic (and weak) interactions can not be neglected in studying those nonperturbative problems as dynamical symmetry breakings for type-A models in QCD. (2) When the electromagnetic interactions between stratons are taken into account in the weak coupling approximation, dynamical symmetry breakings in QCD occur for many realistic models (type-A models) with QCD asymptotically free. This conclusion may hold beyond the weak coupling approximation of the electromagnetic interactions if there can still be a self-consistent solution of Johnson-Baker-Willey in quantum electrodynamics or β_e has an UV-stable fixed point. e_∞(?)0 (a simple zero of β_e) and e_∞is not too large.更多还原