TL;DR
This paper develops a quantum kinetic equation to describe the evolution of tachyonic modes in a self-interacting scalar field, revealing their role in vacuum decay and including memory effects.
Contribution
It introduces a novel kinetic framework for tachyonic quantum fluctuations, accounting for back-reaction and memory effects, advancing understanding of metastable vacuum decay.
Findings
Tachyonic modes do not represent real particles.
The kinetic equation captures the time evolution of tachyonic mode distributions.
Tachyonic fluctuations contribute to the decay of metastable vacuum states.
Abstract
The tachyonic regime of the quantum fluctuations of a self-interacting scalar field around its vacuum mean value is studied within a kinetic approach. We derive a quantum kinetic equation which determines the time evolution of the momentum distribution function of produced tachyonic modes and includes memory effects. The back-reaction of the quantum fluctuations on the vaccum mean field is taken into account, while their interaction is neglected. We show that the tachyonic modes do not correspond to real particles and contribute to the decay of the metastable vacuum state.
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