Continuum behavior of the power-law exponent for p1, p2, and p3 correlators

Determine whether the power-law exponents in the p1, p2, and p3 Kähler–Dirac bound-state correlators eventually decrease toward zero at still finer lattice spacings.

Background

The correlators are fitted to an exponential multiplied by a power-law factor with exponent b. The exponent trends toward zero for the p4 and p0 blocks, whereas it increases more slowly with decreasing lattice spacing for the p1, p2, and p3 blocks. The authors state that it remains unresolved whether the latter trend will eventually reverse as the continuum limit is approached.

References

The question as to whether the b values for the p1, p2, and p3 blocks eventually begin to decrease towards zero at still finer lattice spacings will have to await future studies.

— Evidence of Taste-Symmetry restoration for Kähler-Dirac fermions on Euclidean Dynamical Triangulations  (2610.13791 - Dai et al., 9 Oct 2026) in Section III.B, Extracting bound-state masses