On relation between unitary gauge and gauge given by $\xi$-limiting process

Abstract

It is shown that in general the gauge given by the limit of $\xi \to 0$ in $R_{\xi }$ gauge does not necessarily agree with the unitary gauge by examining the symmetry breaking of two steps from ${\mathrm{SU}(3)\otimes \mathrm{U}(1)}_N$ to ${\mathrm{SU}(2)\otimes \mathrm{U}(1)}_Y$ and then to ${\mathrm{U}(1)}_{em}$.

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