论文标题
量子场理论中的最小长度（比例），普遍的不确定性原理和重力的非氮差异性
Minimum length (scale) in Quantum Field Theory, Generalized Uncertainty Principle and the non-renormalisability of gravity
论文作者
论文摘要
根据量子场理论中的In-In-In In-In和On-Out幅度获得的相关函数，讨论了最小几何长度和最小长度尺度的概念。虽然公制扰动的传播器不承认前者，但爆发的Feynman繁殖器显示了后者的出现。然后展示了重力量子场理论的Feynman传播器与普遍不确定性原理（GUP）的变形参数$Δ_0$之间的联系，从而允许根据因果宣传者的残基确定$Δ_0$的精确表达。然后猜想（某些）理论（某些）理论（重力）的非伦字差异性之间的对应关系，以支持以下观点：不可鉴定理论是自我完整和有限的。通过考虑在晶格上的GUP实施，进一步讨论了变形参数符号所起的作用。
The notions of minimum geometrical length and minimum length scale are discussed with reference to correlation functions obtained from in-in and in-out amplitudes in quantum field theory. Whereas the in-in propagator for metric perturbations does not admit the former, the in-out Feynman propagator shows the emergence of the latter. A connection between the Feynman propagator of quantum field theories of gravity and the deformation parameter $δ_0$ of the generalised uncertainty principle (GUP) is then exhibited, which allows to determine an exact expression for $δ_0$ in terms of the residues of the causal propagator. A correspondence between the non-renormalisability of (some) theories (of gravity) and the existence of a minimum length scale is then conjectured to support the idea that non-renormalisable theories are self-complete and finite. The role played by the sign of the deformation parameter is further discussed by considering an implementation of the GUP on the lattice.
