Evidence for O(2) universality at the finite temperature transition for lattice QCD with 2 flavours of massless staggered quarks

Abstract

We simulate lattice QCD with 2 flavours of massless quarks on lattices of temporal extent N_t=8, to study the finite temperature transition from hadronic matter to a quark-gluon plasma. A modified action which incorporates an irrelevant chiral 4-fermion interaction is used, which allows simulations at zero quark mass. We obtain excellent fits of the chiral condensates to the magnetizations of a 3-dimensional O(2) spin model on lattices small enough to model the finite size effects. This gives predictions for correlation lengths and chiral susceptibilities from the corresponding spin-model quantities. These are in good agreement with our measurements over the relevant range of parameters. Binder cumulants are measured, but the errors are too large to draw definite conclusions. From the properties of the O(2) spin model on the relatively small lattices with which we fit our `data', we can see why earlier attempts to fit staggered lattice data to leading-order infinite-volume scaling functions, as well as finite size scaling studies, failed and led to erroneous conclusions.

arXiv comment27 pages, Latex with 10 postscript figures. Some of the discussions have been expanded to satisfy a referee. Typographical errors were corrected

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• Critical $1$- and $2$-point spin correlations for the $O(2)$ model in $3d$ bounded domains
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