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arXiv 2004.12476hep-thhep-ph
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再论标量弱引力猜想

Revisiting the Scalar Weak Gravity Conjecture

Karim Benakli, Carlo Branchina, Gaëtan Lafforgue-Marmet

摘要:

我们重新审视标量弱引力猜想,并研究标量相互作用主导引力相互作用的可能性。更确切地说,我们期待的后果,假设,为主导标量相互作用,相应的引力贡献是次主导的非相对论性的限制。对于单个大质量标量粒子,这导致我们比较不同类型势中的四点自相互作用。对于类轴子粒子,我们得到了轴子弱引力猜想的结果:衰变常数$f$受普朗克质量$f < {M_{Pl}}$的约束。类似的界限指数潜力。对于四次,幂律和Starobinsky潜力,我们排除大trans-Planckian场偏移。然后,我们讨论的情况下,模量决定标量的质量。我们检索的指数依赖性所要求的沼泽地距离猜想。我们还发现极端状态质量与场的依赖性,再现卡鲁扎-克莱因和缠绕模式的行为。在特殊情况下,我们的约束可以以精化的德西特猜想的形式提出。

英文摘要:

We revisit the Scalar Weak Gravity Conjecture and investigate the possibility to impose that scalar interactions dominate over gravitational ones. More precisely, we look for consequences of assuming that, for leading scalar interactions, the corresponding gravitational contribution is sub-dominant in the non-relativistic limit. For a single massive scalar particle, this leads us to compare four-point self-interactions in different type of potentials. For axion-like particles, we retrieve the result of the Axion Weak Gravity Conjecture: the decay constant $f$ is bounded by the Planck mass, $f < {M_{Pl}}$. Similar bounds are obtained for exponential potentials. For quartic, power law and Starobinsky potentials, we exclude large trans-Planckian field excursions. We then discuss the case of moduli that determine the scalars masses. We retrieve the exponential dependence as requested by the Swampland Distance Conjecture. We also find extremal state masses with field dependence that reproduces both the Kaluza-Klein and winding modes behaviour. In particular cases, our constraints can be put in the form of the Refined de Sitter Conjecture.

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