Chiral anomalies and rooted staggered fermions

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چکیده

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Chiral anomalies and rooted staggered fermions

A popular approximation in lattice gauge theory is an extrapolation in the number of fermion species away from the four fold degeneracy natural with the staggered fermion formulation. I show that the procedure mutilates the expected continuum holomorphic behavior in the quark masses. This is due to a chiral symmetry group that is of a higher rank than desired. The conventional resolution propos...

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Comment on “ Chiral anomalies and rooted staggered fermions ”

In hep-lat/0701018, Creutz claims that the rooting trick used in simulations of staggered fermions to reduce the number of tastes misses key physics whenever the desired theory has an odd number of continuum flavors, and uses this argument to call into question the rooting trick in general. Here we show that his argument fails as the continuum limit is approached, and therefore does not imply a...

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Reply to : “ Comment on : ‘ Chiral anomalies and rooted staggered fermions ’ [ Phys . Lett . B 649 ( 2007

I respond to the Bernard et al. comment on my Letter “Chiral anomalies and rooted staggered fermions”. © 2007 Published by Elsevier B.V. In their comment on my Letter “Chiral anomalies and rooted staggered fermions” [1], Bernard, Golterman, Shamir, and Sharpe [2] do not address the main point that the chiral symmetry group for the rooted theory has a higher rank than the target theory. This imm...

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QCD with rooted staggered fermions

In this talk, I will give an overview of the theoretical status of staggered Lattice QCD with the “fourth-root trick.” In this regularization of QCD, a separate staggered quark field is used for each physical flavor, and the inherent four-fold multiplicity that comes with the use of staggered fermions is removed by taking the fourth root of the staggered determinant for each flavor. At nonzero ...

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Rooted staggered fermions: good, bad or ugly?

I give a status report on the validity of the so-called “fourth-root trick”, i.e. the procedure of representing the determinant for a single fermion by the fourth root of the staggered fermion determinant. This has been used by the MILC collaboration to create a large ensemble of lattices using which many quantities of physical interest have been and are being calculated. It is also used extens...

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ژورنال

عنوان ژورنال: Physics Letters B

سال: 2007

ISSN: 0370-2693

DOI: 10.1016/j.physletb.2007.03.065