Cutoff effects in lattice actions at A mu not equal 0
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 A mu not equal 0. Apart from numerical results, we also derive a series expansion in N (r) (-1) for the free-gas pressure. We find that actions with O(a (n) )-improved rotational invariance produce O(a (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 A mu = 0 remain so as the chemical potential is turned on. The series coefficients become A mu-dependent now, however their functional form at any given order is the same for all actions.
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129-134
129-134
Springer Science + Business Media