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Hadron spectrum, quark masses and decay constants from light overlap fermions on large lattices
High Energy Physics - Lattice · Submitted 19 Jul 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We compare our results with the predictions of chiral perturbation theory and compute several of its low-energy constants.
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The abstract, sentence by sentence
We present results from a simulation of quenched overlap fermions with L\"uscher-Weisz gauge field action on lattices up to $24^3 48$ and for pion masses down to $\approx 250$ MeV. Among the quantities we study are the pion, rho and nucleon masses, the light and strange quark masses, and the pion decay constant. The renormalization of the scalar and axial vector currents is done nonperturbatively in the $RI-MOM$ scheme. The simulations are performed at two different lattice spacings, $a \approx 0.1$ fm and $\approx 0.15$ fm, and on two different physical volumes, to test the scaling properties of our action and to study finite volume effects. We compare our results with the predictions of chiral perturbation theory and compute several of its low-energy constants. The pion mass is computed in sectors of fixed topology as well.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present results from a simulation of quenched overlap fermions with L\"uscher-Weisz gauge field action on lattices up to $24^3 48$ and for pion masses down to $\approx 250$ MeV. | contribution 0.53 | 0.97 | 0.06 | asserted 1.00 |
| s1 | Among the quantities we study are the pion, rho and nucleon masses, the light and strange quark masses, and the pion decay constant. | contribution 0.99 | 0.94 | 0.04 | asserted 0.98 |
| s2 | The renormalization of the scalar and axial vector currents is done nonperturbatively in the $RI-MOM$ scheme. | method 1.00 | 0.93 | 0.03 | asserted 1.00 |
| s3 | The simulations are performed at two different lattice spacings, $a \approx 0.1$ fm and $\approx 0.15$ fm, and on two different physical volumes, to test the scaling properties of our action and to study finite volume effects. | method 1.00 | 0.96 | 0.03 | asserted 1.00 |
| s4 | We compare our results with the predictions of chiral perturbation theory and compute several of its low-energy constants. | contribution 0.64 | 0.95 | 0.12 | asserted 1.00 |
| s5 | The pion mass is computed in sectors of fixed topology as well. | method 0.55 | 0.96 | 0.03 | asserted 1.00 |
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Original abstract
We present results from a simulation of quenched overlap fermions with L\"uscher-Weisz gauge field action on lattices up to $24^3 48$ and for pion masses down to $\approx 250$ MeV. Among the quantities we study are the pion, rho and nucleon masses, the light and strange quark masses, and the pion decay constant. The renormalization of the scalar and axial vector currents is done nonperturbatively in the $RI-MOM$ scheme. The simulations are performed at two different lattice spacings, $a \approx 0.1$ fm and $\approx 0.15$ fm, and on two different physical volumes, to test the scaling properties of our action and to study finite volume effects. We compare our results with the predictions of chiral perturbation theory and compute several of its low-energy constants. The pion mass is computed in sectors of fixed topology as well.
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