Topology, symmetry, and phase transitions in lattice gauge ... - tuprints

3.6 exploiting self-duality 51
N t ω from F k = F e offset red. χ 2 ω from β c (N t , N s ) extrap. red. χ 2
2 1.61(9) 0.78 1.34(12) 0.83
3 1.53(25) 0.36 1.16(50) 0.21
4 1.54(7) 1.52 1.47(6) 0.98
Table 3.4: SU(2) correction to scaling exponents obtained from the offset of F k = F e from
the universal value f I (0) (left) and from the extrapolations of pseudo-critical
couplings in Section 3.4.3, together with the reduced χ 2 of the fits that they were
extracted from.
comparison with the values for ω obtained as a fit parameter in our extrapolations
of pseudo-critical couplings β c (N t , N s ) in Section 3.4.3 from universality alone. Exploitation
of self-duality to single out the scaling correction yields a more consistent
estimate for ω between various values of N t , and is therefore the preferred method.