Phase structure of one-flavour QCD
de Forcrand, Ph
SourceProceedings of the 1998 Europhysics Conference on Computational Physics (CCP 1998)
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We present a study of the deconfinement phase transition of one-flavour QCD, using the multiboson algorithm. The mass of the Wilson fermions relevant for this study is moderately large and the non-Hermitian multiboson algorithm is a very suitable simulation algorithm. Finite size scaling is studied on lattices of size 83×4, 123×4 and 163×4. For heavy quarks, the behaviour of observables that probe the phase change, such as the Polyakov loop susceptibility, transition. The first-order transition weakens as the quark mass decreases and turns into a crossover. Locating the end-point (βep, κep) accurately requires very large lattice sizes, beyond our computer capabilities. We thus consider an effective model, in the same universality class as full QCD but cheaper to simulate. By simulating larger systems, we locate the end-point in the coupling plane of this model. Then we map this end-point back onto full QCD. We thus estimate the end point of the first-order phase transition to occur at a quark mass of about 1.4 GeV.