RENORMALIZATION BY PROJECTION - ON THE EQUIVALENCE OF THE BLOCH-FESHBACH FORMALISM AND WILSONS RENORMALIZATION

Authors
MULLER J RAU J
Citation
J. Muller et J. Rau, RENORMALIZATION BY PROJECTION - ON THE EQUIVALENCE OF THE BLOCH-FESHBACH FORMALISM AND WILSONS RENORMALIZATION, Physics letters. Section B, 386(1-4), 1996, pp. 274-278
Citations number
21
Categorie Soggetti
Physics
Journal title
Physics letters. Section B → ACNP
ISSN journal
03702693
Volume
386
Issue
1-4
Year of publication
1996
Pages
274 - 278
Database
ISI
SICI code
0370-2693(1996)386:1-4<274:RBP-OT>2.0.ZU;2-1
Abstract
We employ projection operator techniques in Hilbert space to derive a continuous sequence of effective Hamiltonians which describe the dynam ics on successively larger length scales. We show for the case of phi( 4) theory that the masses and couplings in these effective Hamiltonian s vary in accordance with 1-loop renormalization group equations. This is evidence for an intimate connection between Wilson's renormalizati on and the venerable Bloch-Feshbach formalism.