Mirror as polaron with internal degrees of freedom
G.E. Volovik, M.A. Zubkov
TL;DR
This paper models a 1+1D moving mirror as a polaron with internal degrees of freedom, analyzing divergences in mirror mass and their relation to vacuum energy issues.
Contribution
It introduces a field-theoretical model of the mirror as a multi-component spinor interacting with a scalar field, linking mirror dynamics to polaron physics.
Findings
Identifies the source of logarithmic divergence in mirror mass.
Relates mirror divergence issues to vacuum energy divergences.
Proposes a field-theoretical framework for mirror-polaron analogy.
Abstract
We consider the model suggested by Wang and Unruh \cite{WangUnruh2013} for the D mirror moving in the quantum vacuum. We consider the relation of this model to the problem of polaron -- the electron moving in the vacuum of the quantum field of phonons. We introduce the field - theoretical model of such a mirror. It contains the multi - component spinor field interacting with the scalar field. We discuss the source of the logarithmic divergence in the mirror mass and its relation to the problem of the divergencies in vacuum energy.
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