标题： 非微扰方法在希格斯-$R^2$暴胀中的标量粒子产生 显示英文标题

标题： Non-perturbative approach for scalar particle production in Higgs-$R^2$ inflation

摘要： 我们研究了在希格斯-$R^2$暴胀模型中标量粒子的非微扰产生，重点在于一个通过与里奇标量 $R$的非最小耦合而引力相互作用的重播场。 通过将模型转换到爱因斯坦框架，其中暴胀动力学与重播场之间的直接耦合显现出来，我们分析了微扰和非微扰的粒子产生。 我们使用布戈柳博夫变换数值求解重播场方程，以计算共动粒子密度。 我们的研究结果表明，对于具有共形耦合的轻粒子以及在最小耦合情况下质量为 $m_\chi > M/2$的粒子会发生粒子产生。 显示英文摘要

摘要： We investigate the non-perturbative production of scalar particles within the Higgs-$R^2$ inflation model, focusing on a massive spectator field that interacts gravitationally via a non-minimal coupling to the Ricci scalar $R$. By transforming the model to the Einstein frame, where direct couplings between inflationary dynamics and the spectator field emerge, we analyze both perturbative and non-perturbative particle production. We solve the spectator field equation numerically, using the Bogolyubov transformation, to calculate the comoving particle density. Our findings indicate that particle production occurs for light particles with conformal coupling and for masses $m_\chi > M/2$ in the minimally coupled scenario.