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arXiv · hep-th/9511105

Renormalization by Projection: On the Equivalence of the Bloch-Feshbach Formalism and Wilson's Renormalization

Jochen Mueller·Jochen Rau
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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 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.

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Jochen Mueller, Jochen Rau. 1996-07-02. Renormalization by Projection: On the Equivalence of the Bloch-Feshbach Formalism and Wilson's Renormalization. https://doi.org/10.1016/0370-2693(96)00964-1

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