On the Absence of the Zeno Effect in Relativistic Quantum Field Theory

Abstract

We study the time evolution of decaying particles in renormalizable models of Relativistic Quantum Field Theory. Significant differences between the latter and Non Relativistic Quantum Mechanics are found -in particular, the Zeno effect seems to be absent in such RQFT models. Conventional renormalization yields finite time behavior in some cases but fails to produce finite survival probabilities in others.

Revised version of the paper Time evolution and Zeno effect in relativistic quantum field theory. To appear in Phys. Lett. A

References in corpus (2)

• Temporal behavior and quantum Zeno time of an excited state of the hydrogen atom
• Unstable Systems in Relativistic Quantum Field Theory

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• Van Hove's "λ^2 t" limit in nonrelativistic and relativistic field-theoretical models
• Wave Function Renormalization Effects in Resonantly Enhanced Tunneling
• Non-exponential decay in Quantum Mechanics and Quantum Field Theory