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

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

1995-11-15

arxiv.org/abs/hep-th/9511105v2

Phys.Lett. B386 (1996) 274-278

Physics

High Energy Physics

High Energy Physics - Theory

8 pages LaTeX, no figures; revised introduction and discussion, new title

Scientific paper

10.1016/0370-2693(96)00964-1

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 \phi^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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