论文标题
较高的曲率术语柔软断裂的形状对称性
Softly broken conformal symmetry with higher curvature terms
论文作者
论文摘要
在标量耦合的重力模型中，出现在标量场的质量重质化中的四个不同的反项必须继承引力相互作用引起的校正。在这项工作中，我们明确证明了在大规模柜台上没有对二次分歧的重力来源的校正。该陈述是真正的，无论引力相互作用的性质，即是通过一般相对论还是F（r）理论描述重力。有趣的是，事实证明，标量耦合 - 重力系统的一个循环有效动作将是行为良好的\ emph {if and and，仅在} $ f（r）$理论中没有鬼魂。特别是，在F（R）理论的背景下得出的结果与从等效标量表示的相应结果完全一致。我们的分析表明，标量场的质量可以始终如一地保持比某些超紫（UV）截止量表，并且与重力理论的性质无关，这可能涉及较高的曲率校正。如果物质领域和重力理论可以始终如一地嵌入到普朗克量表的紫外线完整理论中，那么所有这些将是正确的。
In a scalar-coupled-gravity model, the quadratically divergent counter term appearing in the mass renormalization of the scalar fields must inherit corrections arising out of gravitational interactions. In this work we have explicitly demonstrated that there are no such corrections of gravitational origin to the quadratic divergences in the mass counter terms. This statement holds true irrespective of the nature of the gravitational interaction, i.e., whether gravity is described by general relativity or f(R) theory. Interestingly, it also turns out that the one loop effective action of scalar-coupled-gravity system will be well-behaved \emph{if and only if} the $f(R)$ theory is free from ghosts. In particular, the results derived in the context of f(R) theory are shown to be in exact agreement with the corresponding results derived from the equivalent scalar-tensor representation. Our analysis suggests the tantalizing possibility that the masses of the scalar fields can be consistently kept smaller than some Ultra Violet (UV) cutoff scale and is independent of the nature of the gravity theory, which may involve higher curvature corrections. All these will be true provided the matter fields and the gravity theory can be embedded consistently into a UV complete theory at the Planck scale.
