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Improving the signal-to-noise-ratio in lattice gauge theories
High Energy Physics - Lattice · Submitted 28 Apr 1997
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We prove that the contributions of the ''irrelevant'' operators to the screening mass decrease towards the continuum limit.
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The abstract, sentence by sentence
Renormalization of composite fields is employed to suppress the statistical noise in lattice gauge calculations. We propose a new action which differs from the standard Wilson action by ''irrelevant'' operators, but suppresses the fluctuations of the plaquette. We numerically study the Creutz ratios and find a scaling window. The SU(2) mass gap is estimated. We prove that the contributions of the ''irrelevant'' operators to the screening mass decrease towards the continuum limit. The results obtained from the action with noise suppression are compared with those of the standard Wilson action.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Renormalization of composite fields is employed to suppress the statistical noise in lattice gauge calculations. | method 0.64 | 0.29 | 0.16 | asserted 1.00 |
| s1 | We propose a new action which differs from the standard Wilson action by ''irrelevant'' operators, but suppresses the fluctuations of the plaquette. | contribution 0.63 | 0.90 | 0.12 | asserted 0.92 |
| s2 | We numerically study the Creutz ratios and find a scaling window. | result 0.66 | 0.96 | 0.07 | asserted 1.00 |
| s3 | The SU(2) mass gap is estimated. | result 0.99 | 0.87 | 0.07 | asserted 1.00 |
| s4 | We prove that the contributions of the ''irrelevant'' operators to the screening mass decrease towards the continuum limit. | result 0.93 | 0.93 | 0.32 | asserted 1.00 |
| s5 | The results obtained from the action with noise suppression are compared with those of the standard Wilson action. | contribution 0.45 | 0.87 | 0.14 | asserted 0.86 |
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The paper
Original abstract
Renormalization of composite fields is employed to suppress the statistical noise in lattice gauge calculations. We propose a new action which differs from the standard Wilson action by ''irrelevant'' operators, but suppresses the fluctuations of the plaquette. We numerically study the Creutz ratios and find a scaling window. The SU(2) mass gap is estimated. We prove that the contributions of the ''irrelevant'' operators to the screening mass decrease towards the continuum limit. The results obtained from the action with noise suppression are compared with those of the standard Wilson action.
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