Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-02-21
Phys.Rev.D77:105024,2008
Physics
High Energy Physics
High Energy Physics - Lattice
22 revtex pages, to appear in PRD. v4: correction in the relation of the 2-flavor theory to twisted mass fermions
Scientific paper
10.1103/PhysRevD.77.105024
To investigate the viability of the 4th root trick for the staggered fermion determinant in a simpler setting, we consider a two taste (flavor) lattice fermion formulation with no taste mixing but with exact taste-nonsinglet chiral symmetries analogous to the taste-nonsinglet $U(1)_A$ symmetry of staggered fermions. M. Creutz's objections to the rooting trick apply just as much in this setting. To counter them we show that the formulation has robust would-be zero-modes in topologically nontrivial gauge backgrounds, and that these manifest themselves in a viable way in the rooted fermion determinant and also in the disconnected piece of the pseudoscalar meson propagator as required to solve the U(1) problem. Also, our rooted theory is heuristically seen to be in the right universality class for QCD if the same is true for an unrooted mixed fermion action theory.
No associations
LandOfFree
The rooting issue for a lattice fermion formulation similar to staggered fermions but without taste mixing does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The rooting issue for a lattice fermion formulation similar to staggered fermions but without taste mixing, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The rooting issue for a lattice fermion formulation similar to staggered fermions but without taste mixing will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-578750