Symanzik's Improved Actions From the Viewpoint of the Renormalization Group
Apr, 198848 pages
Published in:
- Commun.Math.Phys. 120 (1988) 149
DOI:
Report number:
- HUTMP-B-217
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Abstract: (Springer)
We investigate Symanzik's improvement program in a four-dimensional Euclidean scalar field theory with smooth momentum space cutoff. We use Wilson's renormalization group transformation to define the improved actions as a sequence of initial data for the effective action at the fundamental cutoff. This leads to a sequence of solutions to the renormalization group equation. We define the parameters of the improved actions implicitly by conditions on the effective action at a renormalization scale. The improved actions are close approximations to the continuum effective action. We prove their existence to every order of improvement and to every order of renormalized perturbation theory.- FIELD THEORY: SCALAR
- FIELD THEORY: ACTION
- FIELD THEORY: EUCLIDEAN
- FIELD THEORY: EFFECTIVE ACTION
- FIELD THEORY: CONTINUUM LIMIT
- RENORMALIZATION GROUP: TRANSFORMATION
- PERTURBATION THEORY
- MATHEMATICAL METHODS
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