Renormalization by Projection: On the Equivalence of the Bloch-Feshbach Formalism and Wilson's Renormalization
Abstract
Description
We employ projection operator techniques in Hilbert space to derive a continuous sequence of effective Hamiltonians which describe the dynamics on successively larger length scales. We show for the case of ϕ^4 theory that the masses and couplings in these effective Hamiltonians vary in accordance with 1-loop renormalization group equations. This is evidence for an intimate connection between Wilson's renormalization and the venerable Bloch-Feshbach formalism.
8 pages LaTeX, no figures; revised introduction and discussion, new title
8 pages LaTeX, no figures; revised introduction and discussion, new title