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- W4288081124 abstract "The existence of a strongly coupled ultraviolet fixed point in 4-dimensional lattice models as they cross into the conformal window has long been hypothesized. The SU(3) gauge system with 8 fundamental fermions is a good candidate to study this phenomenon as it is expected to be very close to the opening of the conformal window. I study the system using staggered lattice fermions in the chiral limit. My numerical simulations employ improved lattice actions that include heavy Pauli-Villars (PV) type bosons. This modification does not affect the infrared dynamics but greatly reduces the ultraviolet fluctuations, thus allowing the study of stronger renormalized couplings than previously possible. I consider two different PV actions and find that both show an apparent continuous phase transition in the 8-flavor system. I investigate the critical behavior using finite size scaling of the renormalized gradient flow coupling. The finite size scaling curve-collapse analysis predicts a first order phase transition consistent with discontinuity exponent $nu=1/4$ in the system without PV bosons. The scaling analysis with the PV boson actions is not consistent with a first order phase transition. The numerical data are well described by walking scaling corresponding to a renormalization group $beta$ function that just touches zero, $beta(g^2) sim (g^2 - g^2_star)^2$, though second order scaling cannot be excluded. Walking scaling could imply that the 8-flavor system is the opening of the conformal window, an exciting possibility that could be related to t'Hooft anomaly cancellation of the system." @default.
- W4288081124 created "2022-07-28" @default.
- W4288081124 creator A5006427634 @default.
- W4288081124 date "2022-07-27" @default.
- W4288081124 modified "2023-10-14" @default.
- W4288081124 title "Emergent strongly coupled ultraviolet fixed point in four dimensions with eight Kähler-Dirac fermions" @default.
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- W4288081124 doi "https://doi.org/10.1103/physrevd.106.014513" @default.
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