通过宇称破坏增强磁场和标量扰动之间的互相关
Enhancing the cross-correlations between magnetic fields and scalar perturbations through parity violation
摘要：
人们经常诉诸电磁场的非最小耦合，以便在充气期间产生磁场。这种耦合预计取决于一个标量场，可能与驱动暴胀的场相同。在三点函数的水平上，这种耦合导致标量场和磁场中的扰动之间的非平凡的互相关。这种互相关已被评估分析较早的情况下，非螺旋形电磁场。在这项工作中，我们数值计算螺旋磁场的互相关。非高斯性通常产生于模式离开哈勃半径时。螺旋电磁模式强烈演变（与非螺旋的情况相比）周围哈勃退出和一种类型的偏振强烈放大后立即哈勃退出。我们发现，螺旋度大大提高了无量纲的非高斯参数的振幅，表征的振幅和形状的相互关联的扰动在标量场和磁场。我们讨论了增强的影响，由于奇偶违反的非高斯参数。
英文摘要：
One often resorts to a non-minimal coupling of the electromagnetic field in order to generate magnetic fields during inflation. The coupling is expected to depend on a scalar field, possibly the same as the one driving inflation. At the level of three-point functions, such a coupling leads to a non-trivial cross-correlation between the perturbation in the scalar field and the magnetic field. This cross-correlation has been evaluated analytically earlier for the case of non-helical electromagnetic fields. In this work, we numerically compute the cross-correlation for helical magnetic fields. Non-Gaussianities are often generated as modes leave the Hubble radius. The helical electromagnetic modes evolve strongly (when compared to the non-helical case) around Hubble exit and one type of polarization is strongly amplified immediately after Hubble exit. We find that helicity considerably boosts the amplitude of the dimensionless non-Gaussianity parameter that characterizes the amplitude and shape of the cross-correlation between the perturbations in the scalar field and the magnetic field. We discuss the implications of the enhancement in the non-Gaussianity parameter due to parity violation.
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