论文标题
希格斯 - 斯特罗宾斯基通货膨胀中的磁化
Magnetogenesis in Higgs-Starobinsky inflation
论文作者
论文摘要
在混合Higgs-Starobinsky通货膨胀的框架内，我们认为由于其非微小耦合与重力（以两种不同的重力配方 - 公制和palatini），我们考虑了阿贝尔量规场的产生。 We couple the gauge-field invariants $F_{μν}F^{μν}$ and $F_{μν}\tilde{F}^{μν}$ to an integer power of the scalar curvature $R^n$ in Jordan frame and, treating these interactions perturbatively, switch to the Einstein frame where they lead to effective kinetic and axial量规场和充气之间的耦合。我们确定生成量规场的功率光谱，能量密度，相关长度和螺旋性，用于非微小耦合常数和参数$ n $的不同值。我们通过分析估计磁力谱的频谱索引$ n_ {b} $，并表明，对于$ n> 1 $，对于广泛的模式，可以获得较大的相关长度。另一方面，这些磁场的大小通常会在通货膨胀结束时及时减少。因此，在该模型框架中，很难同时获得量规场的大小和相关长度。
In the framework of mixed Higgs-Starobinsky inflation, we consider the generation of Abelian gauge fields due to their nonminimal coupling to gravity (in two different formulations of gravity -- metric and Palatini). We couple the gauge-field invariants $F_{μν}F^{μν}$ and $F_{μν}\tilde{F}^{μν}$ to an integer power of the scalar curvature $R^n$ in Jordan frame and, treating these interactions perturbatively, switch to the Einstein frame where they lead to effective kinetic and axial couplings between gauge fields and inflaton. We determine the power spectra, energy densities, correlation length, and helicality of the generated gauge fields for different values of the nonminimal coupling constants and parameter $n$. We analytically estimate the spectral index $n_{B}$ of the magnetic power spectrum and show that for $n>1$ it is possible to get the scale-invariant or even red-tilted spectrum for a wide range of modes that implies larger correlation length of the generated fields. On the other hand, the magnitude of these fields typically decreases in time becoming very small in the end of inflation. Thus, it is difficult to obtain both large magnitude and correlation length of the gauge field in the frame of this model.
