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Heavy Dynamical Fermions in Lattice QCD
High Energy Physics - Lattice · Submitted 1 Apr 1993
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim However, simulations with eight heavy flavors and two light flavors show that the eight flavors do more than just shift the gauge coupling.
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The abstract, sentence by sentence
It is expected that the only effect of heavy dynamical fermions in QCD is to renormalize the gauge coupling. We derive a simple expression for the shift in the gauge coupling induced by $N_f$ flavors of heavy fermions. We compare this formula to the shift in the gauge coupling at which the confinement-deconfinement phase transition occurs (at fixed lattice size) from numerical simulations as a function of quark mass and $N_f$. We find remarkable agreement with our expression down to a fairly light quark mass. However, simulations with eight heavy flavors and two light flavors show that the eight flavors do more than just shift the gauge coupling. We observe confinement-deconfinement transitions at $\beta=0$ induced by a large number of heavy quarks. We comment on the relevance of our results to contemporary simulations of QCD which include dynamical fermions.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | It is expected that the only effect of heavy dynamical fermions in QCD is to renormalize the gauge coupling. | background 1.00 | 0.05 | 0.13 | hedged possibility 0.78 |
| s1 | We derive a simple expression for the shift in the gauge coupling induced by $N_f$ flavors of heavy fermions. | contribution 0.94 | 0.97 | 0.09 | asserted 0.99 |
| s2 | We compare this formula to the shift in the gauge coupling at which the confinement-deconfinement phase transition occurs (at fixed lattice size) from numerical simulations as a function of quark mass and $N_f$. | method 0.77 | 0.91 | 0.06 | asserted 0.86 |
| s3 | We find remarkable agreement with our expression down to a fairly light quark mass. | result 1.00 | 0.96 | 0.28 | asserted 1.00 |
| s4 | However, simulations with eight heavy flavors and two light flavors show that the eight flavors do more than just shift the gauge coupling. | result 0.93 | 0.93 | 0.34 | asserted 1.00 |
| s5 | We observe confinement-deconfinement transitions at $\beta=0$ induced by a large number of heavy quarks. | result 1.00 | 0.92 | 0.16 | asserted 1.00 |
| s6 | We comment on the relevance of our results to contemporary simulations of QCD which include dynamical fermions. | interpretation 0.94 | 0.37 | 0.05 | unclear 0.93 |
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Original abstract
It is expected that the only effect of heavy dynamical fermions in QCD is to renormalize the gauge coupling. We derive a simple expression for the shift in the gauge coupling induced by $N_f$ flavors of heavy fermions. We compare this formula to the shift in the gauge coupling at which the confinement-deconfinement phase transition occurs (at fixed lattice size) from numerical simulations as a function of quark mass and $N_f$. We find remarkable agreement with our expression down to a fairly light quark mass. However, simulations with eight heavy flavors and two light flavors show that the eight flavors do more than just shift the gauge coupling. We observe confinement-deconfinement transitions at $\beta=0$ induced by a large number of heavy quarks. We comment on the relevance of our results to contemporary simulations of QCD which include dynamical fermions.
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8 arXiv papers cite this in 8 sentences
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