Locality with staggered fermions

B. Bunk, M. Della Morte, K. Jansen, F. Knechtli

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Resumé

We address the locality problem arising in simulations, which take the square root of the staggered fermion determinant as a Boltzmann weight to reduce the number of dynamical quark tastes. A definition of such a theory necessitates an underlying local fermion operator with the same determinant and the corresponding Green's functions to establish causality and unitarity. We illustrate this point by studying analytically and numerically the square root of the staggered fermion operator. Although it has the correct weight, this operator is non-local in the continuum limit. Our work serves as a warning that fundamental properties of field theories might be violated when employing blindly the square root trick. The question, whether a local operator reproducing the square root of the staggered fermion determinant exists, is left open.
OriginalsprogUdefineret/Ukendt
TidsskriftNuclear Physics B
DOI
StatusUdgivet - 22. mar. 2004

Bibliografisk note

24 pages, 7 figures, few remarks added for clarity, accepted for publication in Nucl. Phys. B

Emneord

  • hep-lat

Citer dette

Bunk, B. ; Morte, M. Della ; Jansen, K. ; Knechtli, F. / Locality with staggered fermions. I: Nuclear Physics B. 2004.
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Locality with staggered fermions. / Bunk, B.; Morte, M. Della; Jansen, K.; Knechtli, F.

I: Nuclear Physics B, 22.03.2004.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Locality with staggered fermions

AU - Bunk, B.

AU - Morte, M. Della

AU - Jansen, K.

AU - Knechtli, F.

N1 - 24 pages, 7 figures, few remarks added for clarity, accepted for publication in Nucl. Phys. B

PY - 2004/3/22

Y1 - 2004/3/22

N2 - We address the locality problem arising in simulations, which take the square root of the staggered fermion determinant as a Boltzmann weight to reduce the number of dynamical quark tastes. A definition of such a theory necessitates an underlying local fermion operator with the same determinant and the corresponding Green's functions to establish causality and unitarity. We illustrate this point by studying analytically and numerically the square root of the staggered fermion operator. Although it has the correct weight, this operator is non-local in the continuum limit. Our work serves as a warning that fundamental properties of field theories might be violated when employing blindly the square root trick. The question, whether a local operator reproducing the square root of the staggered fermion determinant exists, is left open.

AB - We address the locality problem arising in simulations, which take the square root of the staggered fermion determinant as a Boltzmann weight to reduce the number of dynamical quark tastes. A definition of such a theory necessitates an underlying local fermion operator with the same determinant and the corresponding Green's functions to establish causality and unitarity. We illustrate this point by studying analytically and numerically the square root of the staggered fermion operator. Although it has the correct weight, this operator is non-local in the continuum limit. Our work serves as a warning that fundamental properties of field theories might be violated when employing blindly the square root trick. The question, whether a local operator reproducing the square root of the staggered fermion determinant exists, is left open.

KW - hep-lat

U2 - 10.1016/j.nuclphysb.2004.07.023

DO - 10.1016/j.nuclphysb.2004.07.023

M3 - Tidsskriftartikel

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

SN - 0550-3213

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