论文标题
通货膨胀期间具有连续对称性标量场的随机演变
Stochastic evolution of scalar fields with continuous symmetries during inflation
论文作者
论文摘要
在通货膨胀期间，具有小于哈勃量表的标量场通过由量子波动驱动的随机过程获得真空期望值（VEV）。对于在连续的对称群体下非试图转化的几乎无质量的观众标量，我们证明了VEV的演变取决于标量场空间的维度。较大表示中的字段都达到了更大的真空期望值，并更快地收敛到平衡。我们提出了一个论点，证明了如何在统一仪表中获得这种高维演化，以用于与哈勃尺度相比的质量差距在局部对称性下转化的田地。最后，我们表明，在标准模型中，HIGGS中的全部自由度的占总自由度会在百分比水平的通货膨胀量表上收紧HIGGS稳定性约束，并且在通货膨胀后对HIGGS领域中存储的VEV和能量产生更大的后果。
During inflation, scalar fields with masses less than the Hubble scale acquire vacuum expectation values (vevs) via stochastic processes driven by quantum fluctuations. For nearly massless spectator scalars transforming nontrivially under a continuous symmetry group, we demonstrate that the evolution of the vev depends on the dimensionality of the scalar field space. Fields in larger representations both attain larger vacuum expectation values and converge more rapidly to equilibrium. We present an argument demonstrating how this higher-dimensional evolution can be obtained in unitary gauge for fields transforming under local symmetries with a mass gap that is small compared to the Hubble scale. Finally, we show that accounting for the full number of degrees of freedom in the Standard Model Higgs multiplet tightens Higgs stability constraints on the inflationary scale at the percent level and has more dramatic consequences for both the vev and the energy stored in the Higgs field after inflation.
