Quantum Breaking Bound on de Sitter and Swampland
Quantum Breaking Bound on de Sitter and Swampland
复制标题
DOI：
10.1002/prop.201800094
复制
发表时间：
2018-10
期刊：
影响因子：
--
通讯作者：
G. Dvali;César Gómez;S. Zell
中科院分区：
文献类型：
--
作者：
G. Dvali;César Gómez;S. Zell
量子一致性表明，任何德西特补丁，持续哈勃时间的数量超过了它的吉本斯-霍金熵除以光粒子种类的数量，都会受到量子破缺的影响。包含其他相互作用使得量子破裂时间更短。这种情况不能发生的要求对标量势施加了严格的限制，基本上抑制了自我复制机制。特别是，它消除了具有正能量密度的局部和全局最小值，并对任何给定的哈勃补丁中的e折叠数施加了一般上限。因此，最大值和其他快子方向的弯曲必须比相应的哈勃参数更强。我们证明了最近提出的de Sitter沼泽猜想的关键关系来自de Sitter量子破缺界。我们给出了一个一般的推导，并在一个具体的D-膜膨胀的例子上说明了这一点。我们可以说，弦理论作为量子引力的相容理论，在自我防御量子破缺时，使正真空能无效。
Quantum consistency suggests that any de Sitter patch that lasts a number of Hubble times that exceeds its Gibbons‐Hawking entropy divided by the number of light particle species suffers an effect of quantum breaking. Inclusion of other interactions makes the quantum break‐time shorter. The requirement that this must not happen puts severe constraints on scalar potentials, essentially suppressing the self‐reproduction regimes. In particular, it eliminates both local and global minima with positive energy densities and imposes a general upper bound on the number of e‐foldings in any given Hubble patch. Consequently, maxima and other tachyonic directions must be curved stronger than the corresponding Hubble parameter. We show that the key relations of the recently‐proposed de Sitter swampland conjecture follow from the de Sitter quantum breaking bound. We give a general derivation and also illustrate this on a concrete example of D‐brane inflation. We can say that string theory as a consistent theory of quantum gravity nullifies a positive vacuum energy in self‐defense against quantum breaking.