Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2004-09-05
Phys.Rev.D71:114505,2005
Physics
High Energy Physics
High Energy Physics - Lattice
39 pages, 6 figures (v3: corrected technical error in enumeration of a subset of NLO operators; final conclusions unchanged)
Scientific paper
10.1103/PhysRevD.71.114505
We study taste and Euclidean rotational symmetry violation for staggered fermions at nonzero lattice spacing using staggered chiral perturbation theory. We extend the staggered chiral Lagrangian to O(a^2 p^2), O(a^4) and O(a^2 m), the orders necessary for a full next-to-leading order calculation of pseudo-Goldstone boson masses and decay constants including analytic terms. We then calculate a number of SO(4) taste-breaking quantities, which involve only a small subset of these NLO operators. We predict relationships between SO(4) taste-breaking splittings in masses, pseudoscalar decay constants, and dispersion relations. We also find predictions for a few quantities that are not SO(4) breaking. All these results hold also for theories in which the fourth-root of the fermionic determinant is taken to reduce the number of quark tastes; testing them will therefore provide evidence for or against the validity of this trick.
de Water Ruth S. Van
Sharpe Stephen R.
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