Spontaneous Emission from Excited Quantum Kinks

Abstract

Many kink solutions enjoy internal excitations, called shape modes. In some 1+1d scalar models, such as the ${\varphi }^4$ double-well model, when a kink's shape mode is excited twice it may decay to a ground state kink plus a meson. We analytically calculate the decay rates of both the twice-excited shape mode and also a coherent state corresponding to the classically excited shape mode. In the case of the ${\varphi }^4$ model, we find that the latter agrees with the classical result of Manton and Merabet.

arXiv comment20 pages, no figures

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Cited by in corpus (3)

• Resonance structures in kink-antikink scattering in a quantum vacuum
• Kink solutions in generalized 2D dilaton gravity
• A Reduced Inner Product for Kink States