论文标题
Qed费米子在嘈杂的磁场背景中
QED Fermions in a noisy magnetic field background
论文作者
论文摘要
我们将嘈杂的磁场背景对QED中的Fermion繁殖物的影响视为与空间不均匀性的近似值,这些空间不均匀性自然会在某些物理场景中,例如重型离子碰撞或Quark-Gluon等离子体在宇宙发展的早期阶段。我们考虑了经典,有限和统一的平均磁场背景$ \ langle \ langle \ mathbf {b}(\ mathbf {x})\ rangle = \ mathbf {b} $,但要遵守白色噪声空间波动,并具有自动相互关系。通过平均磁场中传播器作为参考系统的施温格代表,我们使用复制式形式主义来研究以重新归一化的准粒子参数形式以磁噪声的影响,从而导致有效的电荷和有效的折射指数,这些噪声不仅取决于能量尺度,而且还取决于noise $ $ $ $ $ $ $ $ $ $ $ $。
We consider the effects of a noisy magnetic field background over the fermion propagator in QED, as an approximation to the spatial inhomogeneities that would naturally arise in certain physical scenarios, such as heavy-ion collisions or the quark-gluon plasma in the early stages of the evolution of the Universe. We considered a classical, finite and uniform average magnetic field background $\langle\mathbf{B}(\mathbf{x})\rangle = \mathbf{B}$, subject to white-noise spatial fluctuations with auto-correlation of magnitude $Δ_B$. By means of the Schwinger representation of the propagator in the average magnetic field as a reference system, we used the replica formalism to study the effects of the magnetic noise in the form of renormalized quasi-particle parameters, leading to an effective charge and an effective refraction index, that depend not only on the energy scale, as usual, but also on the magnitude of the noise $Δ_B$ and the average field $\mathbf{B}$.