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High-precision analysis of the critical point in heavy-quark QCD at $N_t=6$
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abstract
Binder-cumulant analysis of the critical point in the heavy-quark region of QCD is performed by Monte-Carlo simulations with the hopping-parameter expansion at $N_t=6$. We extend our previous analysis at $N_t=4$ to finer lattices and perform high-precision analyses on large spatial volumes up to the aspect ratio $LT=N_s/N_t=18$. Higher order terms in the hopping-parameter expansion are incorporated effectively up to 14th order. The numerical results show that the violation of the finite-size scaling becomes more prominent on the finer lattice at a given aspect ratio.
Forward citations
Cited by 3 Pith papers
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Higher-order hopping-parameter expansion by human-AI collaboration
Trie-structured algorithms compute κ^8 to κ^12 terms in the hopping expansion of Tr ln M at costs scaling from 20x to 8900x a staple, verified by direct comparison to a reference calculation.
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Finite-size scaling of Lee-Yang zeros and its application to the 3-state Potts model and heavy-quark QCD
Ratios of Lee-Yang zeros on finite lattices cross at the critical point, giving a new finite-size-scaling method verified in Ising, Potts, and heavy-quark QCD models.
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First-order phase transitions in the heavy quark region of lattice QCD at high temperatures and high densities
In the heavy quark region of QCD, the phase transition is predicted to become first-order again at very high baryon chemical potential, after first turning into a crossover at moderate density.
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