各级微扰展开下自发破缺的规范无关性、么正性及可重整性

用微扰论展开明显地讨论了标粒子与规范场矢粒子自发破缺Abel模型,发现在各种可重整规范下同阶各费曼图的内线非物理分量贡献的规范有关部分只与外线的质壳外部分互相依存。在质壳上只剩下物理分量的贡献,亦即转化成了么正规范。这样就明显地验证了么正规范与可重整规范在质壳上的全同,从而说明可重整规范是么正的,以及么正规范下怎样会出现剩余发散,为何剩余发散必然相消,揭穿了么正规范的隐藏可重整性。

GAUGE INDEPENDENCE, UNITARITY AND RENORMALI-ZABILITY OF A SPONTANEOUSLY BROKEN MODEL IN THE PERTURBATION THEORY

This paper studies explicitly the Abelian spontaneously broken gauge model for scalar and gauge bosons by using perturbation expansions . It is discovered that in various renormalizable gauges (R gauge) the gauge dependent part contributed by unphysical components of inner lines in the sum of all Feynman diagrams of the same order coexists only with the outer mass shell components of outer lines. On the mass shell only the contribution by physical components is left, just as in the unitary gauge (U gauge). Thus, the identitical nature of the R gauge and U gauge on the mass shell has been shown explicitly, hence may be seen the unitarity of the R gauge. It is also shown why residue divergences appear in the U gauge, and why these residue divergences will necessarily cancal each other out, thus revealing the crypto-renormali-zability of the U gauge.