Monte-Carlo renormalization group for lattice QCD
Thesis/Dissertation
·
OSTI ID:6016864
The properties of the SU(2) and SU(3) lattice gauge theories are investigated using the Real Space Monte-Carlo Renormalization Group method. The ''..sqrt.. 3 block transformation is found to be very efficient in this analysis. The non-perturbative ..beta..-function is calculated for the SU(2) lattice gauge theory over a large range of couplings and along both the Wilson axis and the Migdal-Kadanoff improved action line. A possible explanation of the observed non-perturbative features of the ..beta..-function is given. The same data sample is used to calculate the improved action needed for better numerical simulations, and the results are compared with those obtained using the Migdal-Kadanoff approximate renormalization and Symanzik's perturbative improvement approach. A similar but less extensive analysis is done for the SU(3) lattice gauge theory as well. The results indicate that even for the pure gauge theory, the present day Monte-Carlo calculations are far from establishing an agreement with the expected asymptotic scaling. However, an improved action approach, combined with the ..beta..-function determined using the Monte-Carlo Renormalization Group technique, should make it possible to convincingly demonstrate the scaling behavior in near future.
- Research Organization:
- California Inst. of Tech., Pasadena (USA)
- OSTI ID:
- 6016864
- Country of Publication:
- United States
- Language:
- English
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