Lattice QCD simulations with up to seven flavors indicate that the first-order chiral transition seen on coarse lattices is a cutoff artifact, so the continuum chiral transition is second-order for all flavors up to the conformal window.
Scale setting in lattice QCD
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abstract
The principles of scale setting in lattice QCD as well as the advantages and disadvantages of various commonly used scales are discussed. After listing criteria for good scales, I concentrate on the main presently used ones with an emphasis on scales derived from the Yang-Mills gradient flow. For these I discuss discretisation errors, statistical precision and mass effects. A short review on numerical results also brings me to an unpleasant disagreement which remains to be explained.
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The order of the chiral phase transition in massless many-flavour lattice QCD
Lattice QCD simulations with up to seven flavors indicate that the first-order chiral transition seen on coarse lattices is a cutoff artifact, so the continuum chiral transition is second-order for all flavors up to the conformal window.