论文标题

Lee Wick启发的电动力学的康奈尔电位

The Cornell potential in Lee-Wick inspired electrodynamics

论文作者

Smailagic, Anais, Spallucci, Euro

论文摘要

在七十年代,Lee和Wick提出了对经典电动力学的有趣修改,使其在量子水平上有限。在经典级别,这种修改的理论在短距离内导致了常规的线性电势,同时还可以在大距离内再现库仑电位。结果表明,对李踢念头的合适修改也可以导致大距离的线性电势。为此,我们研究了一个亚伯利亚模型,该模型``模拟QCD限制阶段,同时保持库仑在短距离处的行为。本文以三个部分进行了组织。在第一部分中,我们提出了在二级范围内,我们将两个重型测试的静态测试指控的静态潜在的教学推导在两个重型测试指控之间,我们将标准的范围描述为“在二级范围内”。第三部分,我们考虑用涂抹的高斯型源代替点状电荷的效果,该电荷将静电电势有限的有限作为r-> 0。

In the seventies, Lee and Wick proposed an interesting modification of classical electrodynamics that renders it finite at the quantum level. At the classical level, this modified theory leads to a regular linear potential at short distances while also reproducing the Coulomb potential at large distances. It is shown that a suitable modification of the Lee-Wick idea can also lead to a linear potential at large distances. For this purpose, we study an Abelian model that ``simulates" the QCD confining phase while maintaining the Coulomb behavior at short distances. This paper is organized in three parts. In the first part, we present a pedagogical derivation of the static potential in the Lee-Wick model between two heavy test charges using the Hamiltonian formulation. In the second part, we describe a modification of the Lee-Wick idea leading to the standard Cornell potential. In the third part, we consider the effect of replacing a point-like charge with a smeared Gaussian-type source, that renders the electrostatic potential finite as r--> 0.

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