Renormalization by Projection: On the Equivalence of the Bloch-Feshbach Formalism and Wilson’s Renormalization
نویسندگان
چکیده
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 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. PACS numbers 11.10.Gh, 11.10.Hi, 64.60.Ak, 21.30.+y Address after October 1, 1996: Max-Planck-Institut für Physik komplexer Systeme, Bayreuther Straße 40 Haus 16, 01187 Dresden, Germany.
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