Renormalization by Projection: On the Equivalence of the Bloch-Feshbach Formalism and Wilson's Renormalization
Jochen Mueller, Jochen Rau
Abstract
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 ϕ4 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.
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