From domain wall to overlap in 2+1d

Physics Letters B

关键词: Lattice gauge field theories;    Field theories in lower dimensions;    Global symmetries;   

DOI  :  10.1016/j.physletb.2016.01.037

来源: DOAJ

【 摘 要 】

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 12(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 iψ¯γ3ψ, markedly improving the approach to the large-Ls limit.

【 授权许可】

Unknown