Relaxion monodromy and the Weak Gravity Conjecture

Relaxion monodromy and the Weak Gravity Conjecture
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弛豫一律与弱引力猜想

DOI:
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发表时间:
2015
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影响因子:
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通讯作者:
I. Valenzuela
I. Valenzuela
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作者:
L. Ibáñez;M. Montero;Á. Uranga;I. Valenzuela

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摘要 近期提出的弛豫子模型需要极大的跨普朗克轴子偏移,以及一个明显违反轴子位移对称性的势。然而,后者的性质与轴子周期性不一致,轴子周期性对应于一个规范的离散位移对称性。使事情一致的一种方法是利用单值性,即轴子和势参数在离散位移对称性下都发生变换。用一个3 - 形式场\(C_{\mu\nu\rho}\)通过其场强\(F_4\)与标准模型希格斯耦合来描述这种结构会更好。4 - 形式也以卡洛珀 - 索尔博(Kaloper - Sorbo)方式与弛豫子线性耦合。极小的弛豫子 - 希格斯耦合以跷跷板方式产生,即\(g\approx F_4/f\),其中\(f\)是轴子衰变常数。我们讨论了膜成核和弱引力猜想对这类构造的限制。弱引力猜想要求存在膜,膜过快的成核原则上可能使理论失控,除非降低截断尺度。这使得我们能够基于纯理论依据排除以量子色动力学轴子作为弛豫子候选者的最简单模型。我们还讨论了将这种结构嵌入弦理论的可能途径。
A bstractThe recently proposed relaxion models require extremely large trans-Planckian axion excursions as well as a potential explicitly violating the axion shift symmetry. The latter property is however inconsistent with the axion periodicity, which corresponds to a gauged discrete shift symmetry. A way to make things consistent is to use monodromy, i.e. both the axion and the potential parameters transform under the discrete shift symmetry. The structure is better described in terms of a 3-form field Cμνρ coupling to the SM Higgs through its field strength F4. The 4-form also couples linearly to the relaxion, in the Kaloper-Sorbo fashion. The extremely small relaxion-Higgs coupling arises in a see-saw fashion as g ≃ F4/f , with f being the axion decay constant. We discuss constraints on this type of constructions from membrane nucleation and the Weak Gravity Conjecture. The latter requires the existence of membranes, whose too fast nucleation could in principle drive the theory out of control, unless the cut-off scale is lowered. This allows to rule out the simplest models with the QCD axion as relaxion candidate on purely theoretical grounds. We also discuss possible avenues to embed this structure into string theory.
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