2015/12/18 by Simon Hands · 1 citation
Physics and Astronomy · #hep-lat
paper · pdf · doi:10.1016/j.physletb.2016.01.037
13 pages
arxiv created 2015/12/18 · arxiv updated 2016/01/27
The equivalence of domain wall and overlap fermion formulations is demonstrated for lattice gauge theories in 2+1 spacetime dimensions with parity-invariant mass terms. Even though the domain wall approach distinguishes propagation along a third direction with projectors 1\over2(1±γ3), the truncated overlap operator obtained for finite wall separation Ls is invariant under interchange of γ3 and γ5. In the limit Ls→∞ the resulting Ginsparg-Wilson relations recover the expected U(2Nf) global symmetry up to O(a) corrections. Finally it is shown that finite-Ls corrections to bilinear condensates associated with dynamical mass generation are characterised by whether even powers of the symmetry-breaking mass are present; such terms are absent for antihermitian bilinears such as iψγ3ψ, markedly improving the approach to the large-Ls limit.