标题： 标量粒子在弗里德曼宇宙学模型中与曲率的高斯-博内类型耦合的产生 显示英文标题

标题： On creation of scalar particles with Gauss-Bonnet type coupling to curvature in Friedmann cosmological models

摘要： 对于与高斯-博内类型曲率耦合的宏观和无质量标量粒子的生成进行了计算。 已经证明，对于质量为$m$的场，如果$\zeta m^2 \ll 1 $，耦合参数$\zeta$与高斯-博内不变量的作用是不显著的。 在所有考虑的情况下，产生的粒子数在数量级上与由康普顿时间区分的因果空间-time区域的数量相容，对应于$1/m$或$\sqrt{\zeta}$。 显示英文摘要

摘要： Calculations are presented for creation of massive and massless scalar particles coupled to Gauss-Bonnet type curvature in Friedmann cosmological models. It has been shown that, for fields of mass~$m$, the effect of the coupling parameter $\zeta$ with the Gauss-Bonnet invariant is insignificant if $\zeta m^2 \ll 1 $. In all cases under consideration, the created particle number is compatible by order of magnitude with the number of causally disconnected space-time regions by the Compton time, corresponding $1/m$ or $\sqrt{\zeta}$.