arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2303.12464gr-qchep-th
收藏

幺正规范下的无鬼理论:一个新候选者

Ghost Free Theory in Unitary Gauge: A New Candidate

Pawan Joshi, Sukanta Panda, Archit Vidyarthi

AI总结:

本研究通过3+1分解的代数分析,证明所研究的高阶导数理论在幺正规范下具有简并性从而无奥斯特罗格拉德斯基鬼,推导了修正FLRW方程与暴胀条件,并给出高阶项系数的相关约束,提供了新的无鬼引力理论候选。

摘要:

我们提出一种采用3+1分解的代数分析方法,通过利用拉格朗日量中存在的某些简并性,找出能巧妙抵消高阶导数的条件——这些高阶导数曾让理论饱受奥斯特罗格拉德斯基鬼(Ostrogradsky ghosts)问题的困扰。我们将这些条件推导为(以高阶导数项系数表示的)线性方程组,并要求其等于零,而非平凡解的存在就意味着理论是简并的。我们发现,对于所研究的理论,一般非均匀标量场下不存在这类解,但在幺正规范下该理论是简并的。随后我们推导出修正的FLRW方程,并缩小了可能存在德西特暴胀时期的条件范围。我们还基于幂次可重整性和直至普朗克尺度的树阶幺正性,得到了对剩余高阶导数相互作用项系数的约束。

英文摘要:

We propose an algebraic analysis using a 3+1 decomposition to identify conditions for a clever cancellation of the higher derivatives, which plagued the theory with Ostrogradsky ghosts, by exploiting some existing degeneracy in the Lagrangian. We obtain these conditions as linear equations (in terms of coefficients of the higher derivative terms) and demand that they vanish, such that the existence of nontrivial solutions implies that the theory is degenerate. We find that, for the theory under consideration, no such solutions exist for a general inhomogeneous scalar field, but that the theory is degenerate in the unitary gauge. We, then, find modified FLRW equations and narrow down conditions for which there could exist a de Sitter inflationary epoch. We further find constraints on the coefficients of the remaining higher-derivative interaction terms, based on power-counting renormalizability and tree-level unitarity up to the Planck scale.

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。

↑