Axion Mass from Magnetic Monopole Loops,Physical Review Letters

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Axion Mass from Magnetic Monopole Loops
Physical Review Letters ( IF 8.1 ) Pub Date : 2021-09-24 , DOI: 10.1103/physrevlett.127.131602
JiJi Fan ₁ , Katherine Fraser ₂ , Matthew Reece ₂ , John Stout ₂

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We show that axions interacting with Abelian gauge fields obtain a potential from loops of magnetic monopoles. This is a consequence of the Witten effect: the axion field causes the monopoles to acquire an electric charge and alters their energy spectrum. The axion potential can also be understood as a type of instanton effect due to a Euclidean monopole worldline winding around its dyon collective coordinate. We calculate this effect, which has features in common with both non-Abelian instantons and Euclidean brane instantons. To provide consistency checks, we argue that this axion potential vanishes in the presence of a massless charged fermion and that it is robust against the presence of higher-derivative corrections in the effective Lagrangian. Finally, as a first step toward connecting with particle phenomenology and cosmology, we discuss the regime in which this potential is important in determining the dark matter relic abundance in a hidden sector containing an Abelian gauge group, monopoles, and axions.

中文翻译：

来自磁单极环的轴子质量

我们表明，与阿贝尔规范场相互作用的轴子从磁单极子环中获得电位。这是威滕效应的结果：轴子场使单极子获得电荷并改变它们的能谱。轴子势也可以理解为一种瞬子效应，这是由于欧几里得单极子世界线围绕其 dyon 集体坐标缠绕。我们计算了这种效应，它与非阿贝尔瞬时子和欧几里得膜瞬时子具有共同的特征。为了提供一致性检查，我们认为这个轴子势在无质量带电费米子的存在下消失，并且它对有效拉格朗日函数中存在更高导数的修正是稳健的。最后，作为连接粒子现象学和宇宙学的第一步，

更新日期：2021-09-24

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