The locality problem for two tastes of 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 from four to two. We study analytically and numerically the square root of the staggered fermion operator as a candidate to define a two taste theory from first principles. 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 and Particle Physics Proceedings
ISSN2405-6014
DOI
StatusUdgivet - 31. aug. 2004

Bibliografisk note

Talk presented at Lattice2004(theory), Fermilab, June 21-26, 2004

Emneord

  • hep-lat

Citer dette

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The locality problem for two tastes of staggered fermions. / Bunk, B.; Morte, M. Della; Jansen, K.; Knechtli, F.

I: Nuclear and Particle Physics Proceedings, 31.08.2004.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - The locality problem for two tastes of staggered fermions

AU - Bunk, B.

AU - Morte, M. Della

AU - Jansen, K.

AU - Knechtli, F.

N1 - Talk presented at Lattice2004(theory), Fermilab, June 21-26, 2004

PY - 2004/8/31

Y1 - 2004/8/31

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 from four to two. We study analytically and numerically the square root of the staggered fermion operator as a candidate to define a two taste theory from first principles. 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 from four to two. We study analytically and numerically the square root of the staggered fermion operator as a candidate to define a two taste theory from first principles. 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.nuclphysbps.2004.11.283

DO - 10.1016/j.nuclphysbps.2004.11.283

M3 - Tidsskriftartikel

JO - Nuclear and Particle Physics Proceedings

JF - Nuclear and Particle Physics Proceedings

SN - 2405-6014

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