论文标题
Starobinsky Electroweak真空的不稳定性
Instability of the Electroweak Vacuum in Starobinsky Inflation
论文作者
论文摘要
我们研究了在Starobinsky通货膨胀期间和之后的Electroweak真空的稳定性，假设存在非最小的希格斯与RICCI标量耦合。在Starobinsky通货膨胀中，存在$ r^2 $项（$ r $是RICCI标量），它修改了Higgs Field的演化方程。我们认为，非最小耦合是相当可观的，因此抑制了希格斯场的量子波动，并且在通货膨胀期间，希格斯振幅稳定在原点附近。在这种情况下，由于非微耦合引起的参数共振，在通货膨胀后，HIGGS振幅可能会在预热时期内扩增。我们通过数值晶格模拟对Higgs场在预热时期中的演变进行详细分析，并在非最小耦合常数$ξ$上得出上限，以实现当前宇宙中的electroweak真空。我们发现，在没有$ r^2 $项的传统通货膨胀模型中，Starobinsky通货膨胀模型中$ξ$上的上限要严格。
We study the stability of the electroweak vacuum during and after the Starobinsky inflation, assuming the existence of the non-minimal Higgs coupling to the Ricci scalar. In the Starobinsky inflation, there exists $R^2$ term (with $R$ being the Ricci scalar), which modifies the evolution equation of the Higgs field. We consider the case that the non-minimal coupling is sizable so that the quantum fluctuation of the Higgs field is suppressed and that the Higgs amplitude is settled near the origin during the inflation. In such a case, the Higgs amplitude may be amplified in the preheating epoch after inflation because of the parametric resonance due to the non-minimal coupling. We perform a detailed analysis of the evolution of the Higgs field in the preheating epoch by a numerical lattice simulation and derive an upper bound on the non-minimal coupling constant $ξ$ in order to realize the electroweak vacuum in the present universe. We find that the upper bound on $ξ$ in the Starobinsky inflation model is more stringent than that in conventional inflation models without the $R^2$ term.
