Bietenholz, W. and Bornyakov, V. and Goeckeler, M. and Horsley, R. and Lockhart, W. G. and Nakamura, Y. and Perlt, H. and Pleiter, D. and Rakow, P. E. L. and Schierholz, G. and Schiller, A. and Streuer, T. and Stueben, H. and Winter, F. and Zanotti, J. M. (2011) Flavor blindness and patterns of flavor symmetry breaking in lattice simulations of up, down, and strange quarks. PHYSICAL REVIEW D, 84 (5): 054509. ISSN 1550-7998,
Full text not available from this repository.Abstract
QCD lattice simulations with 2 + 1 flavors (when two quark flavors are mass degenerate) typically start at rather large up-down and strange quark masses and extrapolate first the strange quark mass and then the up-down quark mass to its respective physical value. Here we discuss an alternative method of tuning the quark masses, in which the singlet quark mass is kept fixed. Using group theory the possible quark mass polynomials for a Taylor expansion about the flavor symmetric line are found, first for the general 1 + 1 + 1 flavor case and then for the 2 + 1 flavor case. This ensures that the kaon always has mass less than the physical kaon mass. This method of tuning quark masses then enables highly constrained polynomial fits to be used in the extrapolation of hadron masses to their physical values. Numerical results for the 2 + 1 flavor case confirm the usefulness of this expansion and an extrapolation to the physical pion mass gives hadron mass values to within a few percent of their experimental values. Singlet quantities remain constant which allows the lattice spacing to be determined from hadron masses (without necessarily being at the physical point). Furthermore an extension of this program to include partially quenched results is given.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CHIRAL PERTURBATION-THEORY; WILSON FERMIONS; UNITARY SYMMETRY; BARYON MASSES; QCD; IMPROVEMENT; LAMBDA; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Tilo Wettig |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 May 2020 11:55 |
| Last Modified: | 29 May 2020 11:55 |
| URI: | https://pred.uni-regensburg.de/id/eprint/20161 |
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