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arXiv 2602.14541gr-qchep-thnucl-th
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相对论性粘性流体和引力有效场论的初始数据

The initial data of effective field theories of relativistic viscous fluids and gravity

University of Cambridge(剑桥大学);Queen Mary University of London(伦敦大学玛丽女王学院)

Lorenzo Gavassino, Áron D. Kovács, Harvey S. Reall

AI总结:

针对相对论性粘性流体和引力有效场论中引入的非物理自由度,提出一种仅在初始数据层面应用的“降阶”方法,唯一确定非物理模式的数据,并论证其洛伦兹不变性破缺在有效场论框架下可接受。

摘要:

最近在建立相对论性粘性流体力学和引力有效场论的适定性理论方面取得了进展。这些理论的共同特点是引入了非物理的自由度。我们探讨了如何处理这些自由度的问题。我们提出了一种“降阶”方法,该方法不在运动方程层面应用,而仅应用于初始数据。这唯一地确定了非物理模式的数据,这些数据由物理模式的数据给出。我们认为,与这种方法相关的表观洛伦兹不变性破缺不是问题,前提是限制在有效场论假设明显有效的洛伦兹参考系中。

英文摘要:

There has been recent progress in developing well-posed theories of relativistic viscous hydrodynamics and of gravitational effective field theories. These have in common the feature that they introduce unphysical degrees of freedom. We address the problem of how these should be treated. We propose a ''reduction of order'' approach which is applied not at the level of equations of motion but only to initial data. This specifies uniquely the data for the unphysical modes in terms of the data for the physical modes. We argue that the apparent breaking of Lorentz invariance associated with this approach is not a problem provided one restricts to Lorentz frames for which the assumptions of effective field theory are manifestly valid.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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