# Cutoff effects in lattice actions at A mu not equal 0

Hegde P, Karsch F, Laermann E, Scheredin S (2011)

INDIAN JOURNAL OF PHYSICS 85(1): 129-134.

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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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Hegde P, Karsch F, Laermann E, Scheredin S. Cutoff effects in lattice actions at A mu not equal 0.

*INDIAN JOURNAL OF PHYSICS*. 2011;85(1):129-134.Hegde, P., Karsch, F., Laermann, E., & Scheredin, S. (2011). Cutoff effects in lattice actions at A mu not equal 0.

*INDIAN JOURNAL OF PHYSICS*,*85*(1), 129-134. doi:10.1007/s12648-011-0030-xHegde, P., Karsch, F., Laermann, E., and Scheredin, S. (2011). Cutoff effects in lattice actions at A mu not equal 0.

*INDIAN JOURNAL OF PHYSICS*85, 129-134.Hegde, P., et al., 2011. Cutoff effects in lattice actions at A mu not equal 0.

*INDIAN JOURNAL OF PHYSICS*, 85(1), p 129-134. P. Hegde, et al., “Cutoff effects in lattice actions at A mu not equal 0”,

*INDIAN JOURNAL OF PHYSICS*, vol. 85, 2011, pp. 129-134. Hegde, P., Karsch, F., Laermann, E., Scheredin, S.: Cutoff effects in lattice actions at A mu not equal 0. INDIAN JOURNAL OF PHYSICS. 85, 129-134 (2011).

Hegde, P., Karsch, Frithjof, Laermann, Edwin, and Scheredin, S. “Cutoff effects in lattice actions at A mu not equal 0”.

*INDIAN JOURNAL OF PHYSICS*85.1 (2011): 129-134.
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