arXiv 2408.025802024-08hep-th

轴子和膨胀子参与的宇称破缺相互作用的共形场论约束

CFT Constraints on Parity-odd Interactions with Axions and Dilatons

Claudio Corianó, Stefano Lionetti

备注：: 22 pages, published version

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AI总结：

该研究利用动量空间中的共形沃德恒等式（CWIs）确定了d=4维中宇称破缺3点关联函数的结构，发现仅⟨JJOO⟩odd和⟨TTO⟩odd受反常保护非零，并讨论了对早期宇宙轴子和膨胀子耦合的约束。

摘要：

我们阐释了动量空间中的共形沃德恒等式（CWIs）如何完全确定d=4维中包含流、能量动量张量及至少一个标量算符的宇称破缺3点关联函数的结构。共形不变性使几乎所有此类可能的关联函数都固定为零。唯一例外是动量空间中受手征和共形反常保护的⟨JJOO⟩odd和⟨TTO⟩odd。具体而言，考虑O=∇·JA、O=gμνTμν或其影子变换等标量算符可得到非零解。我们还讨论了这些结果对早期宇宙共形相中的轴子和膨胀子耦合的约束意义。

英文摘要：

We illustrate how the conformal Ward identities (CWIs) in momentum space completely determine the structure of a parity-odd 3-point correlator involving currents, energy momentum tensors and at least one scalar operator in $d=4$. Conformal invariance fixes almost all such possible correlators to vanish. The only exceptions are given by the $\langle JJO\rangle_{odd}$ and the $\langle TTO \rangle_{odd}$ which in momentum-space are protected by chiral and conformal anomalies. Specifically, one can obtain a non-vanishing solution by considering scalar operators such as $O=\nabla \cdot J_A$, $O=g_{μν}T^{μν}$ or their shadow transforms. We comment on the implications of these results that constrain the coupling of axions and dilatons in a conformal phase of the early universe.

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