Abstract: (Springer)
We look at the cutoff dependence of several lattice actions, including two improved actions viz. Naik and p4, and and chirally-invariant ones, namely fixed-point, overlap and domain-wall, with the aim of understanding its behavior at µ ≠ 0. Apart from numerical results, we also derive a series expansion in Nr1_{r}^{−1} for the free-gas pressure. We find that actions with O(an^{n} )-improved rotational invariance produce O(an^{n} )-improvement in the pressure. The series for unimproved overlap and domain-wall fermions are identical to the naive series, and hence using Naik or p 4 kernels should produce improvement in these formulations as well. Lastly, we find that actions that are improved at µ = 0 remain so as the chemical potential is turned on. The series coefficients become µ-dependent now, however their functional form at any given order is the same for all actions.
  • Lattice QCD
  • quantum chorodynamics
  • 12.38.Gc
  • 25.75.Nq
  • 11.15.Ha