标题： 从量子引力经由非交换几何学到量子场论 显示英文标题

标题： From Quantum Gravity to Quantum Field Theory via Noncommutative Geometry

摘要： 本文建立了规范量子引力与费米型量子场论之间的联系。 通过一种谱三重构造（编码量子引力的运动学），构建了半经典态，在半经典极限下，该态描述了一个处于周围引力场中的相互作用费米子系统。 这种相互作用涉及引力场的通量管。 在进一步关闭所有引力自由度的极限情况下，一个自由费米子量子场论浮现出来。 显示英文摘要

摘要： A link between canonical quantum gravity and fermionic quantum field theory is established in this paper. From a spectral triple construction which encodes the kinematics of quantum gravity semi-classical states are constructed which, in a semi-classical limit, give a system of interacting fermions in an ambient gravitational field. The interaction involves flux tubes of the gravitational field. In the additional limit where all gravitational degrees of freedom are turned off, a free fermionic quantum field theory emerges.