当前位置: X-MOL 学术Phys. Rev. D › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Well-posed UV completion for simulating scalar Galileons
Physical Review D ( IF 5 ) Pub Date : 2022-08-15 , DOI: 10.1103/physrevd.106.043522
Mary Gerhardinger, John T. Giblin, Jr., Andrew J. Tolley, Mark Trodden

The Galileon scalar field theory is a prototypical example of an effective field theory that exhibits the Vainshtein screening mechanism, which is incorporated into many extensions to Einstein gravity. The Galileon describes the helicity-zero mode of gravitational radiation, the presence of which has significant implications for predictions of gravitational waves from orbiting objects and for tests of gravity sensitive to additional polarizations. Because of the derivative nature of their interactions, Galileons are superficially not well posed as effective field theories. Although this property is properly understood merely as an artifact of the effective field theory truncation, and is not theoretically worrisome, at the practical level it nevertheless renders numerical simulation highly problematic. Notwithstanding, previous numerical approaches have successfully evolved the system for reasonable initial data by slowly turning on the interactions. We present here two alternative approaches to improving numerical stability in Galileon numerical simulations. One of these is a minor modification of previous approaches, which introduces a low-pass filter that amounts to imposing a UV cutoff together with a relaxation method of turning on interactions. The second approach amounts to constructing a (numerical) UV completion for which the dynamics of the high momentum modes is under control and for which it is unnecessary to slowly turn on nonlinear interactions. We show that numerical simulations of the UV theory successfully reproduce the correct Galileon dynamics at low energies, consistent with the low-pass filter method and with previous numerical simulations.

中文翻译:

用于模拟标量 Galileons 的适位 UV 补全

伽利略标量场论是有效场论的一个典型例子,它展示了 Vainshtein 筛选机制,该机制被纳入爱因斯坦引力的许多扩展中。Galileon 描述了引力辐射的零螺旋模式,它的存在对预测来自轨道物体的引力波和对额外极化敏感的引力测试具有重要意义。由于它们相互作用的衍生性质,伽利略从表面上看并不是有效的场论。尽管这一性质仅被正确理解为有效场论截断的产物,并且在理论上并不令人担忧,但在实际水平上,它仍然使数值模拟存在很大问题。虽然,以前的数值方法通过缓慢地打开交互作用,成功地演化出合理的初始数据系统。我们在这里提出了两种替代方法来提高 Galileon 数值模拟中的数值稳定性。其中之一是对先前方法的微小修改,它引入了一个低通滤波器,相当于强加 UV 截止以及打开交互的松弛方法。第二种方法相当于构建一个(数值)UV 完成,它的高动量模式的动力学受到控制,并且不需要缓慢地打开非线性相互作用。我们表明,UV 理论的数值模拟成功地在低能量下重现了正确的伽利略动力学,与低通滤波器方法和先前的数值模拟一致。
更新日期:2022-08-15
down
wechat
bug