QED Fermions in a noisy magnetic field background

Abstract

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 $⟨\mathbf{B}(\mathbf{x})⟩=\mathbf{B}$, subject to white-noise spatial fluctuations with auto-correlation of magnitude ${\Delta }_B$. 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 ${\Delta }_B$ and the average field $\mathbf{B}$.

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Cited by in corpus (2)

• Strongly interacting matter in extreme magnetic fields
• Two-gluon one-photon vertex in a magnetic field and its explicit one-loop approximation in the intermediate field strength regime