Exploring two non-perturbative definitions of CA
Abstract
We present two determinations of the coefficient CA in quenched QCD, needed to build the O( a) improved axial current. The first condition used is the requirement that the PCAC quark mass, as a function of χ0, stays flat for a non-trivial spatial phase for the fermions in the Schrödinger functional. The second condition is that the PCAC relation for the groundstate and the first excited state at finite L give the same quark mass. Our results confirm previous findings that in the quenched theory the intrinsic O( a) ambiguity of CA gets relevant around β ≅ 6.0.
- Publication:
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Nuclear Physics B Proceedings Supplements
- Pub Date:
- March 2004
- DOI:
- 10.1016/S0920-5632(03)02600-8
- arXiv:
- arXiv:hep-lat/0309169
- Bibcode:
- 2004NuPhS.129..417D
- Keywords:
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- High Energy Physics - Lattice
- E-Print:
- 3 pages, Lattice2003(improve)