Recently, the problem of unitarity violation during the preheating stage of Higgs inflation with a large non-minimal coupling has been much discussed in the literature. We point out that this problem can be translated into a strong coupling problem for the dimensionless effective coupling, and that the existence of these problems is highly dependent on the choice of higher-dimensional operators because they can significantly change the background dynamics and the canonical normalization of the fluctuations around it. Correspondingly, the typical energy of particles produced during the first stage of preheating can remain comparable to or below the cutoff scale of the theory. As an example, we numerically calculate the particle production in the presence of a specific four-derivative operator of the Higgs field, and confirm the statement above. Our argument also applies to multi-field inflation with non-minimal couplings.

最近，文献中讨论了大量非最小耦合的希格斯暴胀预热阶段的幺正性破坏问题。我们指出这个问题可以转化为无量纲有效耦合的强耦合问题，并且这些问题的存在高度依赖于高维算子的选择，因为它们可以显着改变背景动力学和规范归一化围绕它的波动。相应地，在预热的第一阶段产生的粒子的典型能量可以保持与理论的临界值相当或低于该临界值。作为一个例子，我们在特定的希格斯场四导数算子存在的情况下数值计算粒子的产生，并证实了上面的陈述。