Aspects of domain-wall fermions on the lattice

Details Aspects of domain-wall fermions on the lattice Aspects of domain-wall fermions on the lattice

2003-03-12

arxiv.org/abs/hep-lat/0303008v3

Physics

High Energy Physics

High Energy Physics - Lattice

32 pages, v3:some clarifications, and the discrete symmetries of quark observables are discussed

Scientific paper

I introduce two new boundary layers to the optimal domain-wall fermion action, and formulate vector gauge theories (e.g., QCD) with the new action. The generating functional for n-point Green's function of quark fields is derived. The bilinear and higher-order quark observables are shown to be a_5-invariant, to possess optimal chiral symmetry for any finite N_s, as well as to preserve continuum discrete symmetries at finite lattice spacing. With 2D abelian background gauge fields, I compute the index, the axial anomaly, and the fermion determinant (ratio) of the effective lattice Dirac operator, for the optimal DWF and the conventional DWF respectively. All quantities of the optimal DWF are in good agreement with the exact solution, but the fermion determinant (ratio) of the conventional DWF disagrees with the exact solution, for topologically nontrivial sectors.

Affiliated with

Also associated with

No associations

Rating

Aspects of domain-wall fermions on the lattice 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 Aspects of domain-wall fermions on the lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Aspects of domain-wall fermions on the lattice will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-204539