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

TL;DR

This paper calculates the ground state energy of the translation invariant Pauli-Fierz model with high precision, providing rigorous error bounds and emphasizing a concise proof approach.

Contribution

It determines the ground state energy to subleading order and establishes rigorous error bounds, advancing the mathematical understanding of the model.

Findings

Ground state energy computed to order O(α^3)

Rigorous error bounds of order O(α^4)

Concise proof methodology

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.