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Monte-Carlo Renormalisation Group for Lattice QCD


Patel, Apoorva Dayaram (1984) Monte-Carlo Renormalisation Group for Lattice QCD. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/m791-na19.


The properties of the SU(2) and SU(3) lattice gauge theories are investigated using the Real Space Monte-Carlo Renormalisation Group method. The "√3 block transformation" is found to be very efficient in this analysis. The non-perturbative β-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 nonperturbative features of the β-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 renormalisation 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 β-function determined using the Monte-Carlo Renormalisation Group technique, should make it possible to convincingly demonstrate the scaling behaviour in near future.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Physics
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Fox, Geoffrey C.
Thesis Committee:
  • Preskill, John P. (chair)
  • Feynman, Richard Phillips
  • Porter, Frank C.
  • Fox, Geoffrey C.
Defense Date:23 May 1984
Record Number:CaltechTHESIS:10312018-091543048
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11260
Deposited By: Mel Ray
Deposited On:31 Oct 2018 18:22
Last Modified:16 Apr 2021 22:56

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