AI 中文总结
研究自相互作用带电标量场在含经典随机涨落的背景电场中的情况，通过协变导数和复制技巧研究其物理参数受影响情况，得到理论的传播子、顶点、重整化群方程及流线图。
AI 中文摘要
我们考虑由复λφ⁴模型表示的自相互作用带电标量场，其处于呈现经典随机涨落的背景电场中。我们研究了经典随机噪声在弱电场和超强电场 regimes 对标量场理论物理参数的影响。通过协变导数将随机背景电场纳入施温格传播子，并借助复制技巧找到理论的生成泛函以计算电场涨落的统计平均值。平均过程产生了带电电流间的有效相互作用，其耦合常数与电场涨落自相关函数大小成正比。我们得到了该理论的 dressed 传播子、相互作用顶点和重整化群方程，以及相互作用耦合流形中的相应流线图。
英文摘要
We consider a self interacting charged scalar field represented by the complex λϕ4 model, embedded in a background electric field exhibiting classical stochastic fluctuations. We studied the effects of the classical stochastic noise on the physical parameters of the scalar field theory, for both weak and ultra strong electric field regimes. The stochastic background electric field is included in the Schwinger propagator through the covariant derivative, and the generating functional of the theory is found by means of the replica trick in order to compute the statistical average over electric fluctuations. As a result of the averaging process, an effective interaction between charged currents emerges, with a coupling constant proportional to the magnitude of the auto-correlation function of the electric field fluctuations. We obtained the dressed propagators, the interaction vertices, and the renormalization group equations of the theory, along with the corresponding streamplots in the manifold of interaction couplings.
