标题： 模拟四次伽利略量子的数值完备性 显示英文标题

标题： Simulating a numerical UV Completion of Quartic Galileons

摘要： 伽利略理论是一种典型的有效场论，它包含了维因施泰因屏蔽机制——这一特性出现在广义相对论的一些扩展中，例如质量引力。 维因施泰因效应要求该理论包含高阶导数相互作用，这导致伽利略子以及类似理论在技术上不严格成立。 虽然当该理论被正确视为有效场论时这不是一个根本性问题，但在数值模拟该模型时仍然会带来显著的实际问题。 可以使用多种不同的方法来解决这些问题：引入主动低通滤波器和/或在运动方程层面构建紫外完成，以控制高动量模式。 这些方法已在三次伽利略相互作用中进行了测试，并已被证明可以重现正确的低能行为。 在这里，我们展示了如何将数值紫外完成方法应用于四次伽利略相互作用，并使用此技术对四次伽利略模型进行了首次模拟。 我们证明了我们的方法可以在有效场论的四次项占主导的领域中探测物理现象，同时成功重现了三次相互作用已知的结果。 显示英文摘要

摘要： The Galileon theory is a prototypical effective field theory that incorporates the Vainshtein screening mechanism--a feature that arises in some extensions of General Relativity, such as massive gravity. The Vainshtein effect requires that the theory contain higher order derivative interactions, which results in Galileons, and theories like them, failing to be technically well-posed. While this is not a fundamental issue when the theory is correctly treated as an effective field theory, it nevertheless poses significant practical problems when numerically simulating this model. These problems can be tamed using a number of different approaches: introducing an active low-pass filter and/or constructing a UV completion at the level of the equations of motion, which controls the high momentum modes. These methods have been tested on cubic Galileon interactions, and have been shown to reproduce the correct low-energy behavior. Here we show how the numerical UV-completion method can be applied to quartic Galileon interactions, and present the first simulations of the quartic Galileon model using this technique. We demonstrate that our approach can probe physics in the regime of the effective field theory in which the quartic term dominates, while successfully reproducing the known results for cubic interactions.