满足Yang-Feldman方程的量子场产生的单粒子态的稳定性
On the stability of one particle states generated by quantum fields fulfilling Yang-Feldman equations
摘要：
我们证明了对于Wightman量子场$ϕ(x)$，假设（i）理论的态空间${\cal H}$上度规的正性，（ii）Yang-Feldman方程形式的渐近条件和（iii）出射场的Klein-Gordon方程意味着将渐近场应用于真空所产生的态是稳定的.我们通过反例证明了在量子场具有不定度规的情况下，这种说法是错误的。
英文摘要：
We prove that for a Wightman quantum field $ϕ(x)$ the assumptions (i) positivity of the metric on the state space ${\cal H}$ of the theory (ii) the asymptotic condition in the form of Yang-Feldman equations and (iii) Klein-Gordon equation for the outgoing field imply that the states generated by application of the asymptotic fields to the vacuum are stable. We prove by a counter example that this statement is wrong in the case of quantum fields with indefinite metric.
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