Longitudinal Rescaling of Quantum Electrodynamics

We investigate quantum longitudinal rescaling of electrodynamics, transforming coordinates as $x^{0,3}\toλx^{0,3}$ and $x^{1,2}\to x^{1,2}$, to one loop. We do this by an aspherical Wilsonian renormalization, which was applied earlier to pure Yang-Mills theory. We find the anomalous powers of $λ$ in the renormalized couplings. Our result is only valid for $λ\lesssim 1$, because perturbation theory breaks down for $λ\ll 1$.

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