来自准局域能量的轻子电荷、自旋与质量的约束
Constraints on the Lepton Charge, Spin and Mass from Quasi-Local Energy
AI总结：
本文利用Brown-York准局域能量和Kerr-Newman度规建模轻子时空，从普朗克尺度导出对轻子质量、电荷与自旋的约束，并解释TeV尺度与普朗克能量间的巨大差距。
摘要：
基本粒子的质量、电荷和自旋属于基本物理常数。目前尚无描述它们的基本理论，因此它们的取值仍然神秘。在这项工作中，我们提供一种基于Brown-York准局域能量的方法，该方法包含物体的自能。为了计算这一能量，我们用Kerr-Newman度规对重整化电子（及其他轻子）的时空进行建模。在不同半径处对相关能量施加条件，我们得到了从普朗克尺度导出的对质量、电荷和自旋的各种约束。TeV尺度与普朗克能量之间的巨大差距源于所用准局域势的高度非平凡行为。
英文摘要：
The masses of the elementary particles as well as their charges and spins belong to the fundamental physical constants. Presently, no fundamental theory describing them is available, so their values remain mysterious. In this work we offer an approach based on the Brown-York quasi-local energy which includes the self-energy of an object. In order to compute this energy we model the spacetime of the renormalized electron (and other leptons) by the Kerr-Newman metric. Placing conditions on the associated energies at different radii we arrive at various constraints on the mass, charge and spin which are derived from the Planck scale. The large gap between the TeV-scale and the Planck energy is due to the highly non-trivial behavior of the used quasi-local potential.
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