Extended BPH renormalization of cutoff scalar field theories
- Department of Physics and Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794 (United States)
We show through the use of diagrammatic techniques and a newly adapted BPH renormalization method that general momentum cutoff scalar field theories in four dimensions are perturbatively renormalizable. Weinberg{close_quote}s convergence theorem is used to show that operators in the Lagrangian with dimension greater than four, which are divided by powers of the cutoff, produce perturbatively only local divergences in the two-, three-, and four-point correlation functions. The naive use of the convergence theorem together with the BPH method is not appropriate for understanding the local divergences and renormalizability of these theories. We also show that the renormalized Green{close_quote}s functions are the same as in ordinary {Phi}{sup 4} theory up to corrections suppressed by inverse powers of the cutoff. These conclusions are consistent with those of existing proofs based on the renormalization group. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 284822
- Journal Information:
- Physical Review, D, Vol. 53, Issue 12; Other Information: PBD: Jun 1996
- Country of Publication:
- United States
- Language:
- English
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