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

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.

Comments: 5 pages, LaTeX, uses aipproc.sty. Talk delivered at the VII Mexican Workshop on Particles and Fields, Merida, Yucatan, November 10-17, 1999; to be published in the proceedings