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Ginsparg-Wilson Pions Scattering on a Staggered Sea | | Jiunn-Wei Chen
; Donal O’Connell
; Ruth S. Van de Water
; Andre Walker-Loud
; | | Date: |
4 Oct 2005 | | Subject: | hep-lat hep-ph nucl-th | | Abstract: | In this article, we calculate isospin 2 (I=2) pion-pion scattering in chiral perturbation theory for a partially quenched, mixed action theory with Ginsparg-Wilson valence quarks and staggered sea quarks. We determine the scattering length at threshold for both 2 sea quarks and 2+1 sea quarks in the isospin limit. The scattering length, expressed in terms of the pion mass and the decay constant measured on the lattice, has no contributions from mixed valence-sea mesons. Thus, it does not depend upon the parameter, C_Mix, that appears in the chiral Lagrangian of the mixed theory. This result holds for both 2 and 2+1 flavors of sea quarks. Finally, we take the continuum limit of our mixed action results and give expressions for the scattering length in continuum 2 and 2+1 flavor partially quenched chiral perturbation theory. | | Source: | arXiv, hep-lat/0510024 | | Services: | Forum | Review | PDF | Favorites | |
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