标题： Fierz-Pauli 行动的广义化 显示英文标题

标题： Generalization of the Fierz-Pauli Action

摘要： 我们考虑了引力的拉格朗日量通过质量项和多项式相互作用项（具有任意系数）协变修正后的理论，并重新研究了这种理论在脱耦极限下的自洽性，直到非线性项的五阶。 我们明确计算了自旋-0模的自相互作用，以及自旋-0模与自旋-2模之间的非线性混合。 我们证明，这些相互作用中的鬼场病态对于某些多项式相互作用的选择会消失，并且论证了此结果在脱耦极限的所有阶次上仍然成立。 此外，我们表明自旋-0模与自旋-2模之间的线性及部分非线性混合项可以通过局部变量变换吸收，这自然地生成了在不同背景下引入的三次、四次和五次Galileon相互作用。 我们还指出，脱耦极限下自旋-0模与自旋-2模之间的混合最多为四次。 最后，我们讨论了我们的发现对脱耦极限外的有效场论一致性以及Boulware-Deser问题的影响。 显示英文摘要

摘要： We consider the Lagrangian of gravity covariantly amended by the mass and polynomial interaction terms with arbitrary coefficients, and reinvestigate the consistency of such a theory in the decoupling limit, up to the fifth order in the nonlinearities. We calculate explicitly the self-interactions of the helicity-0 mode, as well as the nonlinear mixing between the helicity-0 and -2 modes. We show that ghost-like pathologies in these interactions disappear for special choices of the polynomial interactions, and argue that this result remains true to all orders in the decoupling limit. Moreover, we show that the linear, and some of the nonlinear mixing terms between the helicity-0 and -2 modes can be absorbed by a local change of variables, which then naturally generates the cubic, quartic, and quintic Galileon interactions, introduced in a different context. We also point out that the mixing between the helicity-0 and 2 modes can be at most quartic in the decoupling limit. Finally, we discuss the implications of our findings for the consistency of the effective field theory away from the decoupling limit, and for the Boulware-Deser problem.