Kaplan David B
Institute for Nuclear Theory, Box 351550, Seattle, Washington 98195-1550, USA.
Phys Rev Lett. 2024 Apr 5;132(14):141603. doi: 10.1103/PhysRevLett.132.141603.
I demonstrate how chiral fermions with an exact gauge symmetry can appear on the d-dimensional boundary of a finite volume (d+1)-dimensional manifold, without any light mirror partners. The condition for the d-dimensional boundary theory to be local is that gauge anomalies cancel and that the volume be large. This can likely be achieved on a lattice and provides a new paradigm for the lattice regularization of chiral gauge theories.
我展示了具有精确规范对称性的手征费米子如何能出现在有限体积的(d + 1)维流形的d维边界上,且没有任何轻镜像伙伴。d维边界理论为局域理论的条件是规范反常抵消且体积很大。这很可能可以在格点上实现,并为手征规范理论的格点正则化提供了一种新范式。