On the ground state energy of the translation invariant Pauli-Fierz model

Abstract

In this note, we determine the ground state energy of the translation invariant Pauli-Fierz model to subleading order $O({\alpha }^3)$ with respect to powers of the finestructure constant $\alpha$, and prove rigorous error bounds of order $O({\alpha }^4)$. A main objective of our argument is its brevity.

AMS Latex, 8 pages