论文标题
通过施温格机制的各向异性通货膨胀的无关定理
No-go theorem of anisotropic inflation via Schwinger mechanism
论文作者
论文摘要
在充气和$ u(1)$量规场之间存在膨胀耦合的情况下,获得了持续的电场(即,各向异性通胀)作为经典场方程的解决方案。我们将带电的,大规模和共同耦合场引入该模型,并研究带电颗粒的一对生产。半经典方法使我们能够评估由于一般延伸因子和电场上的一对产生而导致的诱导电流。用诱导电流求解场方程,我们发现电场显示了阻尼的振荡,无论带电场的质量值如何,其振幅衰减均为零。换句话说,我们通过考虑施温格机制来得出无关的各向异性通货膨胀定理。
In the presence of a dilatonic coupling between an inflaton and a $U(1)$ gauge field, a persistent electric field (i.e., an anisotropic inflation) is obtained as a solution of the classical field equations. We introduce charged, massive, and conformally coupled fields into this model and study the pair production of charged particles. The semiclassical approach allows us to evaluate the induced current due to the pair production on the general dilatonic factor and electric field. Solving the field equations with the induced current, we find that the electric field shows a damped oscillation, whose amplitude decays to zero regardless of the values of the masses of charged fields. In other words, we derive a no-go theorem of anisotropic inflation by taking into account the Schwinger mechanism.