Physics ofη′with rooted staggered quarks
نویسندگان
چکیده
منابع مشابه
Diseases with rooted staggered quarks
Calculations using staggered quarks augmented with a root of the fermion determinant to reduce doubling give a qualitatively incorrect behavior in the small quark mass region. Attempts to circumvent this problem for the continuum limit involve an unproven combination of unphysical states, a loss of unitarity, and a rather peculiar non-commutation of limits.
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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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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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ژورنال
عنوان ژورنال: Physical Review D
سال: 2012
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.85.114503