论文标题
幂律通货膨胀中的阿贝里安·希格斯（Abelian Higgs）模型：统一仪表中的繁殖器
Abelian Higgs model in power-law inflation: the propagators in the unitary gauge
论文作者
论文摘要
我们将破碎相的Abelian Higgs模型视为一般$ d $时空维度的宇宙学空间中的观众，并允许冷凝物与时间相关。我们使用Dirac的形式主义对受约束系统进行修复统一仪表，然后量化量规固定系统。向量和标量扰动会发展时间依赖性质量。假设宇宙学背景是幂律通货膨胀的，我们的传播器的特征是恒定的主慢倾参数，并且标量凝结物在吸引子方面，将其缩放为哈勃速率。我们的繁殖器正确地减少了Minkowski和De Sitter空间限制的已知结果。我们使用矢量传播器来计算电场和磁场的相等相关器，并发现在超级超支分离中，前者得到了增强，而与无质量矢量场的真空波动相比，后者被抑制。这些相关器满足法拉第法律管辖的等级制度。
We consider the Abelian Higgs model in the broken phase as a spectator in cosmological spaces of general $D$ space-time dimensions, and allow for the condensate to be time-dependent. We fix the unitary gauge using Dirac's formalism for constrained systems, and then quantize the gauge-fixed system. Vector and scalar perturbations develop time-dependent masses. We work out their propagators assuming the cosmological background is that of power-law inflation, characterized by a constant principal slow-roll parameter, and that the scalar condensate is in the attractor regime, scaling as the Hubble rate. Our propagators correctly reduce to known results in the Minkowski and de Sitter space limits. We use the vector propagator to compute the equal-time correlators of electric and magnetic fields and find that at super-Hubble separations the former is enhanced, while the latter is suppressed compared to the vacuum fluctuations of the massless vector field. These correlators satisfy the hierarchy governed by Faraday's law.
