A renormalization group flow approach to decoupling and irrelevant operators
- Department of Physics and Center for Theoretical Physics, Seoul National University, Seoul, 151-742 (Korea)
Using Wilson-Polchinski renormalization group equations, we give a simple new proof of decoupling in a {phi}{sup 4}-type scalar field theory involving two real scalar fields (one in heavy with mass {ital M} and the other light). Then, to all orders in perturbation theory, it is shown that effects of virtual heavy particles up to the order 1/{ital M}{sup 2{ital N}{sub 0}} can be systematically incorporated into light-particle theory via effective local vertices of canonical dimension at most 4+2{ital N}{sub 0}. The couplings for vertices of dimension 4+2{ital N} are of order 1/{ital M}{sup 2{ital N}} and are systematically calculable. All this is achieved through intuitive dimensional arguments without resorting to complicated graphical arguments or convergence theorems. {copyright} 1995 Academic Press, Inc.
- OSTI ID:
- 278889
- Journal Information:
- Annals of Physics (New York), Vol. 243, Issue 1; Other Information: PBD: Oct 1995
- Country of Publication:
- United States
- Language:
- English
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