论文标题
Chern-Simons重力和中微子自我互动
Chern-Simons Gravity and Neutrino Self-Interactions
论文作者
论文摘要
动态的Chern-Simons重力（DCS）是一般相对论的四维平价扩展。当前的模型预测，由于大型衰减常数$ f $接近大统一理论的规模，因此该扩展的效果可以忽略不计。在这里，我们提出了DC的构造，允许较小的衰减常数，范围从sub-ev到普朗克尺度。具体而言，我们表明，如果存在具有强大自身互动的费米亚物种，那么短波长费米式模式就会形成绑定状态。然后，这种结合状态可以进行动态对称性破裂，而所得的伪尺寸与其余的长波长费米式模式形成了Yukawa的相互作用。由于这种新的相互作用，带有引力的环校正校正，然后实现伪尺度和重力Chern-Simons项之间的线性耦合。这种耦合的强度是由Yukawa耦合常数除以费米亚质量的。因此，由于与小群体的自我互动费米子是理想的，因此我们将中微子确定为有前途的候选人。例如，如果中微子具有质量$M_ν\ Lessim {\ rm Mev} $，而Yukawa耦合是订单统一，则DCS衰减常数可以小如$ f \ sim 10^3M_ν\ simsim {\ simsim {\ rm ev} $。我们讨论费米子的其他潜在选择。
Dynamical Chern-Simons gravity (dCS) is a four-dimensional parity-violating extension of general relativity. Current models predict the effect of this extension to be negligible due to large decay constants $f$ close to the scale of grand unified theories. Here, we present a construction of dCS allowing for much smaller decay constants, ranging from sub-eV to Planck scales. Specifically, we show that if there exists a fermion species with strong self-interactions, the short-wavelength fermion modes form a bound state. This bound state can then undergo dynamical symmetry breaking and the resulting pseudoscalar develops Yukawa interactions with the remaining long-wavelength fermion modes. Due to this new interaction, loop corrections with gravitons then realize a linear coupling between the pseudoscalar and the gravitational Chern-Simons term. The strength of this coupling is set by the Yukawa coupling constant divided by the fermion mass. Therefore, since self-interacting fermions with small masses are ideal, we identify neutrinos as promising candidates. For example, if a neutrino has a mass $m_ν\lesssim {\rm meV}$ and the Yukawa coupling is order unity, the dCS decay constant can be as small as $f \sim 10^3 m_ν\lesssim {\rm eV}$. We discuss other potential choices for fermions.
