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Improving the improved action
1Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547, USA. tombouli@physics.ucla.edu
Physical Review Letters
|May 16, 2007
Summary
Improved actions for SU(2) gauge theory were constructed using the Monte Carlo renormalization group method. Achieving self-consistency requires careful fine-tuning of decimation procedures and effective actions.
Area of Science:
- High Energy Physics
- Computational Physics
- Quantum Field Theory
Background:
- The Monte Carlo Renormalization Group (MCRG) method is crucial for studying lattice gauge theories.
- SU(2) gauge theory is a fundamental model in particle physics.
- Effective actions are used to simplify complex systems in quantum field theory.
Purpose of the Study:
- To investigate the construction of improved actions for SU(2) gauge theory.
- To explore the impact of different decimation procedures and effective actions within the MCRG framework.
- To ensure the self-consistency requirements for MCRG are met.
Main Methods:
- Application of the Monte Carlo Renormalization Group (MCRG) method.
- Utilizing various decimation procedures.
- Employing different forms of effective actions.
- Fine-tuning parameters for self-consistency.
Main Results:
- Demonstrated that self-consistency in MCRG is achievable.
- Showed that self-consistency depends critically on the choice of decimation prescription and effective action.
- Identified the necessity of careful fine-tuning for accurate results.
Conclusions:
- The construction of improved actions in SU(2) gauge theory using MCRG is feasible.
- Meeting the basic self-consistency requirement is essential for valid MCRG applications.
- Careful selection and tuning of decimation and effective actions are paramount.
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