论文标题
相对论普遍不确定性的有效现场理论
Effective field theory from Relativistic Generalized Uncertainty
论文作者
论文摘要
量子重力的理论预测了最小可测量的长度和对所谓的广义不确定性原理（GUP）的不确定性原理的相应修改。但是，这种修改通常是用非权威主义语言制定的，这尚不清楚最小长度是否不变。我们已经制定了相对论的普遍不确定性原理，从而导致洛伦兹不变的最小值可测量的长度和组成定律问题的解决。事实证明，这是最小长度的量子场理论制定的重要步骤。我们得出了与最小长度的存在相一致的拉格朗日人，并描述了标量，旋转器和U（1）量规场的行为。我们计算了与这些拉格朗日相关的Feynman规则（繁殖者和顶点）。此外，我们计算了Lepton-Lepton散射的量子重力校正的散射横截面。最后，我们将结果与当前的实验进行了比较，这使我们能够在量子重力现象变得相关的规模上提高界限。
Theories of Quantum Gravity predict a minimum measurable length and a corresponding modification of the Heisenberg Uncertainty Principle to the so-called Generalized Uncertainty Principle (GUP). However, this modification is usually formulated in non-relativistic language, making it unclear whether the minimum length is Lorentz invariant. We have formulated a Relativistic Generalized Uncertainty Principle, resulting in a Lorentz invariant minimum measurable length and the resolution of the composition law problem. This proved to be an important step in the formulation of Quantum Field Theory with minimum length. We derived the Lagrangians consistent with the existence of minimal length and describing the behaviour of scalar, spinor, and U(1) gauge fields. We calculated the Feynman rules (propagators and vertices) associated with these Lagrangians. Furthermore, we calculated the Quantum Gravity corrected scattering cross-sections for a lepton-lepton scattering. Finally, we compared our results with current experiments, which allowed us to improve the bounds on the scale at which quantum gravity phenomena will become relevant.
