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Tadpole-improved SU(2) lattice gauge theory
High Energy Physics - Lattice · Submitted 26 Mar 1998
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Tadpole improvement significantly reduces discretization errors in the static quark potential and in the scalar glueball mass, and results in very little renormalization of the bare anisotropy that is input to the action.
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The abstract, sentence by sentence
A comprehensive analysis of tadpole-improved SU(2) lattice gauge theory is made. Simulations are done on isotropic and anisotropic lattices, with and without improvement. Two tadpole renormalization schemes are employed, one using average plaquettes, the other using mean links in Landau gauge. Simulations are done with spatial lattice spacings $a_s$ in the range of about 0.1--0.4 fm. Results are presented for the static quark potential, the renormalized lattice anisotropy $a_t/a_s$ (where $a_t$ is the ``temporal'' lattice spacing), and for the scalar and tensor glueball masses. Tadpole improvement significantly reduces discretization errors in the static quark potential and in the scalar glueball mass, and results in very little renormalization of the bare anisotropy that is input to the action. We also find that tadpole improvement using mean links in Landau gauge results in smaller discretization errors in the scalar glueball mass (as well as in the static quark potential), compared to when average plaquettes are used. The possibility is also raised that further improvement in the scalar glueball mass may result when the coefficients of the operators which correct for discretization errors in the action are computed beyond tree level.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | A comprehensive analysis of tadpole-improved SU(2) lattice gauge theory is made. | contribution 1.00 | 0.87 | 0.05 | asserted 0.89 |
| s1 | Simulations are done on isotropic and anisotropic lattices, with and without improvement. | method 0.98 | 0.94 | 0.02 | asserted 0.97 |
| s2 | Two tadpole renormalization schemes are employed, one using average plaquettes, the other using mean links in Landau gauge. | method 1.00 | 0.89 | 0.03 | asserted 0.98 |
| s3 | Simulations are done with spatial lattice spacings $a_s$ in the range of about 0.1--0.4 fm. | method 1.00 | 0.92 | 0.02 | asserted 0.99 |
| s4 | Results are presented for the static quark potential, the renormalized lattice anisotropy $a_t/a_s$ (where $a_t$ is the ``temporal'' lattice spacing), and for the scalar and tensor glueball masses. | contribution 0.54 | 0.94 | 0.06 | asserted 0.98 |
| s5 | Tadpole improvement significantly reduces discretization errors in the static quark potential and in the scalar glueball mass, and results in very little renormalization of the bare anisotropy that is input to the action. | result 0.99 | 0.93 | 0.74 | asserted 1.00 |
| s6 | We also find that tadpole improvement using mean links in Landau gauge results in smaller discretization errors in the scalar glueball mass (as well as in the static quark potential), compared to when average plaquettes are used. | result 1.00 | 0.96 | 0.20 | asserted 1.00 |
| s7 | The possibility is also raised that further improvement in the scalar glueball mass may result when the coefficients of the operators which correct for discretization errors in the action are computed beyond tree level. | future work 0.99 | 0.22 | 0.05 | hedged possibility 0.96 |
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Original abstract
A comprehensive analysis of tadpole-improved SU(2) lattice gauge theory is made. Simulations are done on isotropic and anisotropic lattices, with and without improvement. Two tadpole renormalization schemes are employed, one using average plaquettes, the other using mean links in Landau gauge. Simulations are done with spatial lattice spacings $a_s$ in the range of about 0.1--0.4 fm. Results are presented for the static quark potential, the renormalized lattice anisotropy $a_t/a_s$ (where $a_t$ is the ``temporal'' lattice spacing), and for the scalar and tensor glueball masses. Tadpole improvement significantly reduces discretization errors in the static quark potential and in the scalar glueball mass, and results in very little renormalization of the bare anisotropy that is input to the action. We also find that tadpole improvement using mean links in Landau gauge results in smaller discretization errors in the scalar glueball mass (as well as in the static quark potential), compared to when average plaquettes are used. The possibility is also raised that further improvement in the scalar glueball mass may result when the coefficients of the operators which correct for discretization errors in the action are computed beyond tree level.
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2 arXiv papers cite this in 2 sentences
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Cites it as background 1 paper
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Note that the quark-antiquark potential has already been extensively studied [ref] , either for small interquark distances or using different smearing techniques, like the APE smearing, but usually fail to pick up a significant signal for long distances with no smearing.
SU(2) Lattice Gauge Theory Simulations on Fermi GPUs · The static quark-antiquark potential · 0.92
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