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

Benjamin Svetitsky, Yigal Shamir, Maarten Golterman

Research output: Contribution to journalConference articlepeer-review


Because the staggered fermion determinant is complex at nonzero μ, taking its fourth root leads to phase ambiguities. These unphysical effects cause the measure to become discontinuous; the problem becomes acute when Re μ ≳ mπ/2 (when T > 0 this rough bound probably moves towards larger μ). We show how to overcome the problem, but only very close to the continuum limit. This regime may be beyond reach with current resources.

Original languageEnglish
JournalProceedings of Science
StatePublished - 2006
Event24th International Symposium on Lattice Field Theory, LATTICE 2006 - Tucson, United States
Duration: 23 Jul 200628 Jul 2006


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