论文标题
扰动$ S $ -MATRIX UNINARITY（$ s ^{\ Dagger} s = 1 $）in $ r_ {μν} ^2 $重力
Perturbative $S$-matrix unitarity ($S^{\dagger}S=1$) in $R_{μν} ^2$ gravity
论文作者
论文摘要
我们表明，在重力的二次曲率理论中，或简单地r_ {μν} ^2 $重力，在紫外线区域中违反了树级的unitariy绑定（树一级），但满足了$ s $ -matrix Unitarity（$ ss ^{\ ss ^{\ dagger} = 1 $）的类似物。该理论是可以恢复的，因此树木单位性的失败是Llewellyn Smith对它们之间关系的猜想的反面例子。我们最近提出了一个新的猜想，即$ s $ -matrix Unitarity具有与重质量的情况相同的条件。我们验证了$ s $ -matrix Unitarity在$ r_ {μν} ^2 $重力中的树级的物质 - 格拉维顿散射中保留，展示了我们的新猜想。
We show that in the quadratic curvature theory of gravity, or simply $R_{μν} ^2$ gravity, the tree-level unitariy bound (tree unitarity) is violated in the UV region but an analog for $S$-matrix unitarity ($SS^{\dagger} = 1$) is satisfied. This theory is renormalizable, and hence the failure of tree unitarity is a counter example of Llewellyn Smith's conjecture on the relation between them. We have recently proposed a new conjecture that $S$-matrix unitarity gives the same conditions as renormalizability. We verify that $S$-matrix unitarity holds in the matter-graviton scattering at tree level in the $R_{μν} ^2$ gravity, demonstrating our new conjecture.
