Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2004-03-22
Nucl.Phys. B697 (2004) 343-362
Physics
High Energy Physics
High Energy Physics - Lattice
24 pages, 7 figures, few remarks added for clarity, accepted for publication in Nucl. Phys. B
Scientific paper
10.1016/j.nuclphysb.2004.07.023
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.
Bunk Burkhard
Jansen Karl
Knechtli Francesco
Morte Michele Della
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