Initial computations were performed on a -lattice with the scale-invariant measure, and at [42, 44], and extended to larger -values in . For , one finds some evidence for a (first-order?) transition; the region of where the transition occurs does not change much with . Beirl et al. [27, 28] extended this analysis by measuring the static potential of a quark–antiquark pair on lattices of size and . With and without gravity, one finds both a confined and a deconfined phase; in the presence of gravity, the transition occurs at a smaller -value. More recently, Berg et al.  have gathered further data on the location and stability of the well-defined phase in the -plane, and extracted a string tension for various -values.
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