论文标题
自发的洛伦兹对称性断裂和一环的有效作用
Spontaneous Lorentz symmetry breaking and one-loop effective action in the metric-affine bumblebee gravity
论文作者
论文摘要
研究了在典型物质存在下与连接耦合的典型物质存在的度量摩擦大黄蜂模型。我们表明，该模型接受了爱因斯坦框架表示，在该框架中，该物质部门是通过非最小迪拉克动作描述的，而文献中没有任何类比。这种非最小术语涉及大黄蜂和费米昂领域之间的非常规耦合。然后，我们根据16个Dirac矩阵重写爱因斯坦框架中的二次效法动作，以确定lorentz/cpt违规的系数，以所有非最小耦合$ξ$的订单中的所有订单。还提供了爱因斯坦框架中费米金决定因素的确切结果，包括$ξ$中的所有订单。我们证明，轴向贡献至少在$ξ$的扰动扩展中属于二阶。此外，我们计算弱场近似中的一环有效电位。
The metric-affine bumblebee model in the presence of fermionic matter minimally coupled to the connection is studied. We show that the model admits an Einstein frame representation in which the matter sector is described by a non-minimal Dirac action without any analogy in the literature. Such non-minimal terms involve unconventional couplings between the bumblebee and the fermion field. We then rewrite the quadratic fermion action in the Einstein frame in the basis of 16 Dirac matrices in order to identify the coefficients for Lorentz/CPT violation in all orders of the non-minimal coupling $ξ$. The exact result for the fermionic determinant in the Einstein frame, including all orders in $ξ$, is also provided. We demonstrate that the axial contributions are at least of second order in the perturbative expansion of $ξ$. Furthermore, we compute the one-loop effective potential within the weak field approximation.
