Grabowska Dorota M, Kaplan David B
Institute for Nuclear Theory, Box 351550, Seattle, Washington 98195-1550, USA.
Phys Rev Lett. 2016 May 27;116(21):211602. doi: 10.1103/PhysRevLett.116.211602. Epub 2016 May 24.
We propose a nonperturbative gauge-invariant regulator for d-dimensional chiral gauge theories on the lattice. The method involves simulating domain wall fermions in d+1 dimensions with quantum gauge fields that reside on one d-dimensional surface and are extended into the bulk via gradient flow. The result is a theory of gauged fermions plus mirror fermions, where the mirror fermions couple to the gauge fields via a form factor that becomes exponentially soft with the separation between domain walls. The resultant theory has a local d-dimensional interpretation only if the chiral fermion representation is anomaly free. A physical realization of this construction would imply the existence of mirror fermions in the standard model that are invisible except for interactions induced by vacuum topology, and which could gravitate differently than conventional matter.
我们为格点上的d维手征规范理论提出了一种非微扰规范不变调节器。该方法涉及在d + 1维中用驻留在一个d维表面并通过梯度流扩展到体中的量子规范场来模拟畴壁费米子。结果是一个规范费米子加镜像费米子的理论，其中镜像费米子通过一个随畴壁之间的距离呈指数软化的形状因子与规范场耦合。只有当手征费米子表示无反常时，所得理论才具有局部d维解释。这种构造的物理实现将意味着标准模型中存在镜像费米子，它们除了由真空拓扑引起的相互作用外是不可见的，并且其引力作用可能与传统物质不同。
