Bloch-Wilson Hamiltonian and a Generalization of the Gell-Mann-Low Theorem

TL;DR

This paper derives the Bloch-Wilson Hamiltonian from a generalized Gell-Mann-Low theorem, facilitating diagrammatic analysis in Hamiltonian perturbation theory for quantum field theory.

Contribution

It introduces a derivation of the Bloch-Wilson Hamiltonian from a generalized Gell-Mann-Low theorem, expanding the theoretical framework for perturbation analysis.

Findings

Provides a new derivation method for the Bloch-Wilson Hamiltonian.

Enables diagrammatic analysis within Hamiltonian perturbation theory.

Strengthens the theoretical foundation for quantum field theory calculations.

Abstract

The effective Hamiltonian introduced many years ago by Bloch and generalized later by Wilson, appears to be the ideal starting point for Hamiltonian perturbation theory in quantum field theory. The present contribution derives the Bloch-Wilson Hamiltonian from a generalization of the Gell-Mann-Low theorem, thereby enabling a diagrammatic analysis of Hamiltonian perturbation theory in this approach.