Lattice non-local chiral fermions

✍ Scribed by Andrea Pelissetto

• Publisher: Elsevier Science
• Year: 1988
• Tongue: English
• Weight: 535 KB
• Volume: 182
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(88)90299-0

✦ Synopsis

We analyze the doubling problem for chiral fermions on a hypercubic lattice. We prove that hermitian and cubic invariant chiral Lagrangians always show spectrum doubling, even in the presence of non-local interactions. thus extending the previous theorem of Nielsen and Ninomiya.

In the presence of non-local derivatives we find either the breaking of Lorentz invariance or the dynamical generation through quantum corrections of spurious ghost states which make the chiral anomaly vanish and give a wrong contribution to the /3-function.