Dynamical analysis of cosmological models with non-Abelian gauge vector fields

Anisotropic Inflation with Non-Abelian Gauge Kinetic Function

We study an anisotropic inflation model with a gauge kinetic function for a non-abelian gauge field. We find that, in contrast to abelian models, the anisotropy can be either a prolate or an oblate type, which could lead to a different prediction from abelian models for the statistical anisotropy in the power spectrum of cosmological fluctuations. During a reheating phase, we find chaotic behaviour of the non-abelian gauge field which is caused by the nonlinear self-coupling of the gauge field. We compute a Lyapunov exponent of the chaos which turns out to be uncorrelated with the anisotropy.

Field redefinition's help in constructing non-abelian gauge theories

We study, using the example of general covariance, to what extent a would-be non-abelian extension of free field abelian gauge theory can be helped by a field redefinition; answer - not much! However, models resulting from dimensional reduction also include non-gauge fields to be integrated out, thereby offering a wider choice of redefinitions whose effects may indeed prove useful.

规范超引力与非阿贝尔爱因斯坦-麦克斯韦理论中的非阿贝尔单矢量形变

Non-abelian uni-vector deformations in gauged supergravities and non-abelian Einstein-Maxwell theories

该研究针对规范超引力与非阿贝尔爱因斯坦-麦克斯韦理论，构造了非阿贝尔单矢量形变解，将其与广义相对论的坐标变换关联，扩展了阿贝尔单矢量形变的相关结果。

Einstein Manifolds, Abelian Instantons, Bundle Reduction, and the Cosmological Constant

The anti-self-dual projection of the spin connections of certain four-dimensional Einstein manifolds can be Abelian in nature. These configurations signify bundle reductions. By a theorem of Kobayashi and Nomizu such a process is predicated on the existence of a covariantly constant field. It turns out that even without fundamental Higgs fields and other physical matter, gravitational self-interactions can generate this mechanism if the cosmological constant is non-vanishing. This article identifies the order parameter, and clarifies how these Abelian instanton solutions are associated with a …

通过时空振荡研究阿贝尔和非阿贝尔规范场中的参数共振

Parametric resonance in abelian and non-abelian gauge fields via space-time oscillations

本文研究了时空振荡下阿贝尔与非阿贝尔规范场的演化，发现共振模式会引发包括CP破坏在内的物理量涨落，数值模拟表明引力波能更有效地激发非阿贝尔规范场并增强CP破坏及手征不平衡。

Space-time translational gauge identities in Abelian Yang-Mills gravity

We derive and calculate the space-time translational gauge identities in quantum Yang-Mills gravity with a general class of gauge conditions involving two arbitrary parameters. These identities of the Abelian group of translation are a generalization of Ward-Takahasi-Fradkin identities and important for general discussions of possible renormalization of Yang-Mills gravity with translational gauge symmetry. The gauge identities in Yang-Mills gravity with a general class of gauge conditions are substantiated by explicit calculations.