Quantum electrodynamics in the squeezed vacuum state: Feynman rules and corrections to the electron mass and anomalous magnetic moment

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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 $δm(Ω,s)/m=α(2/π)(Ω/m)^2\sinh^2(s)$, where $Ω$ and $s$ stand for the mode frequency and the squeeze parameter and $α$ for the fine structure constant, respectively. The correction to the anomalous magnetic moment of the electron is $δa_e(s)=-(4α/π)\sinh^2(s)$.
4 p., latex-article style, TUW-preprint

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