Why (staggered fermions)^{1/4} fail at finite density

Details Why (staggered fermions)^{1/4} fail at finite density Why (staggered fermions)^{1/4} fail at finite density

2006-09-26

arxiv.org/abs/hep-lat/0609051v2

PoSLAT2006:148,2006

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice 2006 (High Temperature and Density), PoS format, 7 pages

Scientific paper

Because the staggered fermion determinant is complex at nonzero mu, taking its fourth root leads to phase ambiguities. These unphysical effects cause the measure to become discontinuous; the problem becomes acute when Re mu exceeds approximately half the pion mass (when T>0 this rough bound probably moves towards larger mu). We show how to overcome the problem, but only very close to the continuum limit. This regime may be beyond reach with current resources.

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