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Phys. Rev. Lett. 98, 181601 (2007) [4 pages]

Improving the Improved Action

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E. T. Tomboulis* and A. Velytsky
Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547, USA

Received 27 February 2007; published 1 May 2007

We investigate the construction of improved actions by the Monte Carlo renormalization group method in the context of SU(2) gauge theory utilizing different decimation procedures and effective actions. We demonstrate that the basic self-consistency requirement for correct application of the Monte Carlo renormalization group, i.e., that the decimated configurations are equilibrium configurations of the adopted form of the effective action, can be achieved only by careful fine-tuning of the choice of decimation prescription and/or action.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.181601
DOI:
10.1103/PhysRevLett.98.181601
PACS:
11.15.Ha, 11.10.Hi, 12.38.Gc

*Electronic address: tombouli@physics.ucla.edu

Electronic address: vel@physics.ucla.edu