Pion and Kaon masses in Staggered Chiral Perturbation Theory

Details Pion and Kaon masses in Staggered Chiral Perturbation Theory Pion and Kaon masses in Staggered Chiral Perturbation Theory

2003-04-21

arxiv.org/abs/hep-lat/0304014v3

Phys.Rev.D68:034014,2003

Physics

High Energy Physics

High Energy Physics - Lattice

37 pages, 4 figures; v2: minor notation change for clarity; corrected typos in references; v3: Appendix added with details of

Scientific paper

10.1103/PhysRevD.68.034014

We show how to compute chiral logarithms that take into account both the $\cO(a^2)$ taste-symmetry breaking of staggered fermions and the fourth-root trick that produces one taste per flavor. The calculation starts from the Lee-Sharpe Lagrangian generalized to multiple flavors. An error in a previous treatment by one of us is explained and corrected. The one loop chiral logarithm corrections to the pion and kaon masses in the full (unquenched), partially quenched, and quenched cases are computed as examples.

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