arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1608.06951hep-thgr-qchep-ph
收藏

弱引力猜想与有效场论

The Weak Gravity Conjecture and Effective Field Theory

Prashant Saraswat

摘要:

弱引力猜想(英语:Weak Gravity Conjecture,缩写:WGC)是一个对规范场和引力理论的约束,要求存在轻带电粒子和/或对场论截止点$Λ$施加上界。如果把它作为有效场论(EFT)的一致性要求,它就排除了建立模型(包括某些暴胀模型)的可能性。我演示了简单的模型,满足所有形式的WGC,但通过希格斯的原始规范场产生低能量EFT规范力,严重违反了WGC。这些模型从自下而上的角度说明了激发WGC的论点中的特定漏洞;例如,当考虑到希格斯相中发生的磁约束时,基于磁单极子的论点就被回避了。这表明WGC不应该被视为对EFT的否决权,即使它最终被证明是紫外量子引力理论的一个强大属性。然而,如果后者是真的,那么在低能量下WGC的参数破坏是以UV中的非最小场含量为代价的。我建议,只有一个非常弱的约束是适用于EFTs,$Λ\lesssim \left(-\log g \right)^{-1/2} M_\text{pl}$其中$g$是规范耦合,由熵界的动机。值得注意的是,满足WGC的希格斯辛理论产生的EFT可以饱和,但不违反这个界限。

英文摘要:

The Weak Gravity Conjecture (WGC) is a proposed constraint on theories with gauge fields and gravity, requiring the existence of light charged particles and/or imposing an upper bound on the field theory cutoff $Λ$. If taken as a consistency requirement for effective field theories (EFTs), it rules out possibilities for model-building including some models of inflation. I demonstrate simple models which satisfy all forms of the WGC, but which through Higgsing of the original gauge fields produce low-energy EFTs with gauge forces that badly violate the WGC. These models illustrate specific loopholes in arguments that motivate the WGC from a bottom-up perspective; for example the arguments based on magnetic monopoles are evaded when the magnetic confinement that occurs in a Higgs phase is accounted for. This indicates that the WGC should not be taken as a veto on EFTs, even if it turns out to be a robust property of UV quantum gravity theories. However, if the latter is true then parametric violation of the WGC at low energy comes at the cost of non-minimal field content in the UV. I propose that only a very weak constraint is applicable to EFTs, $Λ\lesssim \left(-\log g \right)^{-1/2} M_\text{pl}$ where $g$ is the gauge coupling, motivated by entropy bounds. Remarkably, EFTs produced by Higgsing a theory that satisfies the WGC can saturate but not violate this bound.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑