IMPROVED MONTE CARLO RENORMALIZATION GROUP METHODS
Feb, 19847 pages
Published in:
- Phys.Lett.B 140 (1984) 76-82
- Published: 1984
Report number:
- CERN-TH-3818
Citations per year
Abstract: (Elsevier)
The practical application of MCRG requires the flow lines to reach the renormalized trajectory after a small number of blocking steps. It is suggested to use optimized block transformations in order to shift the fixed point and the renormalized trajectory closer to a given action. In asymptotically free theories, perturbation theory can be used to find the improved block transformations. Another MCRG method, the improved ratio method, is discussed also. The methods are tested on d =2, asymptotically free spin models.- RENORMALIZATION GROUP
- MODEL: SPIN
- SPIN: MODEL
- SYMMETRY: O(N)
- LATTICE FIELD THEORY: TWO-DIMENSIONAL
- TRANSFORMATION: BLOCK SPIN
- BLOCK SPIN: TRANSFORMATION
- PERTURBATION THEORY
- NUMERICAL CALCULATIONS: MONTE CARLO
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