Average Action and the Renormalization Group Equations
Dec, 198956 pages
Published in:
- Nucl.Phys.B 352 (1991) 529-584
- Published: 1991
Report number:
- DESY-89-168
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Abstract: (Elsevier)
We formulate an effective action Γ k for averages of fields taken within a volume of size k − d . In contrast to the block-spin approach on the lattice we work in continuous (euclidean) space, preserving all symmetries. We establish how expectation values of operators with momenta smaller than k can be computed from Γ k . The average action at different scales is related by an exact renormalization group equation. We apply these ideas to the N-component ϕ 4 theory in the spontaneously broken phase and derive the one-loop renormalization group equations for the average potential. The average potential becomes convex as k → 0.- phi**n model: 4
- effective action
- field theory: Euclidean
- renormalization group
- path integral
- perturbation theory: higher-order
- spontaneous symmetry breaking
- field equations: nonlocal
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