Perturbative S-matrix unitarity (S†S = 1) in R^{2}_{μν} gravity
Perturbative S-matrix unitarity (S†S = 1) in R^{2}_{μν} gravity
复制标题
R^{2}_{μν} 引力中的微扰 S 矩阵幺正性 (S†S = 1)
DOI：
10.1142/s0217732321501054
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发表时间：
2021
影响因子：
1.4
通讯作者：
Keisuke Izumi
中科院分区：
文献类型：
--
作者：
Yugo Abe;Takeo Inami;Keisuke Izumi
我们表明，在二次曲率理论的引力，或simplygravity，树水平的酉界（树酉性）是违反了在UV区域，但一个模拟的矩阵酉性是满意的。这个理论是可重整的，因此树么正性的失败是卢埃林·史密斯关于它们之间关系的猜想的反例。我们最近提出了一个新的猜想，矩阵酉性给出了相同的条件，重整化。我们验证了-矩阵么正性在物质-引力子散射中的树水平上成立，证明了我们的新猜想。
We show that in the quadratic curvature theory of gravity, or simplygravity, the tree-level unitarity bound (tree unitarity) is violated in the UV region but an analog for-matrix unitarityis 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-matrix unitarity gives the same conditions as renormalizability. We verify that-matrix unitarity holds in the matter-graviton scattering at the tree level in thegravity, demonstrating our new conjecture.