For eight-flavor QCD the Roberge-Weiss transition temperature vanishes in the chiral limit, placing the theory inside the conformal window.
Lattice Simulations and Infrared Conformality
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abstract
We examine several recent lattice-simulation data sets, asking whether they are consistent with infrared conformality. We observe, in particular, that for an SU(3) gauge theory with 12 Dirac fermions in the fundamental representation, recent simulation data can be described assuming infrared conformality. Lattice simulations include a fermion mass m which is then extrapolated to zero, and we note that this data can be fit by a small-m expansion, allowing a controlled extrapolation. We also note that the conformal hypothesis does not work well for two theories that are known or expected to be confining and chirally broken, and that it does work well for another theory expected to be infrared conformal.
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Numerical study of partition function zeros in 12-flavor lattice QCD finds strong evidence for first-order transitions at m_q=0.02 with scaling d=3.98(6) and suggests critical mass m_q^c approximately 0.05 where the transition ends.
citing papers explorer
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The Roberge-Weiss transition as a probe for conformality in many-flavor QCD
For eight-flavor QCD the Roberge-Weiss transition temperature vanishes in the chiral limit, placing the theory inside the conformal window.
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Zeros of the partition function for 12 flavor QCD
Numerical study of partition function zeros in 12-flavor lattice QCD finds strong evidence for first-order transitions at m_q=0.02 with scaling d=3.98(6) and suggests critical mass m_q^c approximately 0.05 where the transition ends.