论文标题
相关世界理论：结构和一致性
Correlated Worldline theory: Structure and Consistency
论文作者
论文摘要
我们对量子重力的“相关世界”理论提供了正式处理。生成功能以耦合物质和重力场的多个副本而写成。通过重力本身，田间的路径相关。在重力耦合$ g \ rightarrow 0 $的极限中，恢复了常规的量子场理论；在经典限制$ \ hbar \ rightarrow 0 $中，恢复了一般相对论。得出了正式的循环扩展，所有条款最多可显式地给定的一环订单$ \ sim o（l_p^2）$，其中$ l_p $是planck的长度。然后，我们在背景字段周围以$ l_p^2 $的形式得出了扰动扩展的形式，其相关功能明确指定为$ \ sim o（l_p^2）$。最后，我们明确地证明了该理论的固定仪表独立性，以$ l_p^2 $重力耦合和物质循环的所有订单，并得出相关的病房身份。
We give a formal treatment of the "Correlated Worldline" theory of quantum gravity. The generating functional is written as a product over multiple copies of the coupled matter and gravitational fields; paths for fields are correlated via gravity itself. In the limit where the gravitational coupling $G \rightarrow 0$, conventional quantum field theory is recovered; in the classical limit $\hbar \rightarrow 0$, General Relativity is recovered. A formal loop expansion is derived, with all terms up to one-loop order $\sim O(l_P^2)$ given explicitly, where $l_P$ is the Planck length. We then derive the form of a perturbation expansion in $l_P^2$ around a background field, with the correlation functions given explicitly up to $\sim O(l_P^2)$. Finally, we explicitly demonstrate the on-shell gauge independence of the theory, to order $l_P^2$ in gravitational coupling and to all orders in matter loops, and derive the relevant Ward identities.
