论文标题
量子场理论具有广义不确定性原理I：标量电动力学
Quantum field theory with the generalized uncertainty principle I: scalar electrodynamics
论文作者
论文摘要
最近，作者提出了具有Lorentz不变最小长度的广义不确定性原理（GUP）的协变延伸。这为构建和探索相对论量子场理论中最小长度的可观察到后果开辟了道路。特别是，我们将量子重力校正计算为高能量散射实验，这可能提供了测试最小长度和实验室中量子重力理论的急需窗口。为此，我们从GUP修改的最小耦合的Klein-Gordon方程中为复杂的标量场制定了量子电动力学的拉格朗日，并写下了其Feynman规则。然后，我们将相对论的普遍不确定性原理校正为量子电动力学散射幅度，并讨论其含义。
Recently, the authors presented a covariant extension of the Generalized Uncertainty Principle (GUP) with a Lorentz invariant minimum length. This opens the way for constructing and exploring the observable consequences of minimum length in Relativistic Quantum Field Theories. In particular, we compute quantum gravity corrections to high energy scattering experiments, which may provide the much needed window of testing minimum length and quantum gravity theories in the laboratory. To this end, we formulate the Lagrangian of Quantum Electrodynamics for a complex scalar fields from the GUP modified minimally coupled Klein-Gordon equation and write down its Feynman rules. We then calculate the Relativistic Generalized Uncertainty Principle corrections to a Quantum Electrodynamics scattering amplitude and discuss its implications.
