标题： Born-Infeld非线性电动力学在晶格上的量子化与模拟 显示英文标题

标题： Quantization and simulation of Born-Infeld non-linear electrodynamics on a lattice

摘要： Born-Infeld非线性电动力学自然地作为弦和膜的动力学的场论描述出现。 对该理论的大多数分析都局限于将其作为一个经典场论来研究。 我们在欧几里得四维时空格点上对该理论进行量子化，并利用蒙特卡洛模拟确定其性质。 使用Lüscher-Weisz方法测量了静态点电荷周围的电磁场，以克服引入该电荷所关联的符号问题。 D场与Maxwell QED的表现相同。 然而，E场由于量子涨落而增强，但仍显示出经典理论中观察到的短距离屏蔽效应。 此外，对于经典理论，随着非线性增加，屏蔽效应无限制地增大，而对于量子理论，它接近于一个限制性的共形场论。 显示英文摘要

摘要： Born-Infeld non-linear electrodynamics arises naturally as a field theory description of the dynamics of strings and branes. Most analyses of this theory have been limited to studying it as a classical field theory. We quantize this theory on a Euclidean 4-dimensional space-time lattice and determine its properties using Monte-Carlo simulations. The electromagnetic field around a static point charge is measured using Luscher-Weisz methods to overcome the sign problem associated with the introduction of this charge. The D field appears identical to that of Maxwell QED. However, the E field is enhanced by quantum fluctuations, while still showing the short distance screening observed in the classical theory. In addition, whereas for the classical theory, the screening increases without bound as the non-linearity increases, the quantum theory approaches a limiting conformal field theory.