Quantum electrodynamics in the squeezed vacuum state: Electron mass shift

TL;DR

This paper calculates the correction to electron mass caused by the non-zero photon population in a squeezed vacuum state within quantum electrodynamics, providing a specific formula for the mass shift.

Contribution

It introduces a novel calculation of electron mass shift in a squeezed vacuum state, highlighting finite corrections to the scattering matrix due to nonvanishing photon populations.

Findings

Derived a formula for electron mass shift in a squeezed vacuum state

Quantified the mass correction as a function of mode frequency and squeeze parameter

Demonstrated finite corrections to the scattering matrix in quantum electrodynamics

Abstract

Due to the nonvanishing average photon population of the squeezed vacuum state, finite corrections to the scattering matrix are obtained. The lowest order contribution to the electron mass shift for a one mode squeezed vacuum state is given by $\delta m(\Omega, s)/m=\alpha (2/\pi)(\Omega /m)^2\sinh^2(s)$, where $\Omega$ and $s$ stand for the mode frequency and the squeeze parameter and $\alpha$ for the fine structure constant, respectively.