Unstable Systems in Relativistic Quantum Field Theory

Abstract

We show how the state of an unstable particle can be defined in terms of stable asymptotic states. This general definition is used to discuss and to solve some old problems connected with the short-time and large-time behaviour of the non-decay amplitude.

12 pages, Latex

Cited by in corpus (27)

• Quantum Zeno dynamics: mathematical and physical aspects
• Quantum Zeno dynamics and quantum Zeno subspaces
• Non-exponential decay in quantum field theory and in quantum mechanics: the case of two (or more) decay channels
• Spontaneous emission and lifetime modification caused by an intense electromagnetic field
• Nonexponential decay of an unstable quantum system: Small-$Q$-value s-wave decay
• Classical vs Quantum Eikonal Scattering and its Causal Structure
• Gravitational Causality and the Self-Stress of Photons
• Deviation from the exponential decay law in relativistic quantum field theory: the example of strongly decaying particles
• Time Evolution of Unstable Particle Decay Seen with Finite Resolution
• Dynamics of relaxation and dressing of a quenched Bose polaron
• Possible Emission of Cosmic $X$-- and $\gamma$--rays by Unstable Particles at Late Times
• Analytical study of quadratic and non-quadratic short-time behavior of quantum decay
• On the Absence of the Zeno Effect in Relativistic Quantum Field Theory
• Van Hove's "λ^2 t" limit in nonrelativistic and relativistic field-theoretical models
• Renormalization in Winter Model
• Non equilibrium dynamics of mixing, oscillations and equilibration: a model study
• Physics at \ggam and \egam colliders
• Formal Aspects of Quantum Decay
• A new class of time-dependent Bell inequalities in Wigner form
• Survival law in a potential model
• Quantum decay in renormalizable field theories: quasiparticle formation, Zeno and anti-Zeno effects
• Asymptotic properties of Born-improved amplitudes with gauge bosons in the final state
• Complete Resolution of the Quantum Zeno Paradox for Outside Observers
• Five-point Superluminality Bounds
• Finite Time Vacuum Survival Amplitude and Vacuum Energy Decay
• Winter (or delta-shell) Model at Small and Intermediate Volumes
• Effective field theory of particle mixing