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Unstable particle's wave-function renormalization prescription

Yong Zhou
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Abstract

We strictly define two set Wave-function Renormalization Constants (WRC) under the LSZ reduction formula for unstable particles at the first time. Then by introducing antiparticle's WRC and the CPT conservation law we obtain a new wave-function renormalization condition which can be used to totally determine the two set WRC. We calculate two physical processes to manifest the consistence of the present wave-function renormalization prescription with the gauge theory in standard model. We also prove that the conventional wave-function renormalization prescription which discards the imaginary part of unstable particle's WRC leads to physical amplitude gauge dependent.

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Yong Zhou. 2005-12-17. Unstable particle's wave-function renormalization prescription. https://doi.org/10.1142/s0217732306020408

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