Longitudinal Rescaling of Quantum Electrodynamics

Details Longitudinal Rescaling of Quantum Electrodynamics Longitudinal Rescaling of Quantum Electrodynamics

2011-04-06

arxiv.org/abs/1104.1168v4

Physics

High Energy Physics

High Energy Physics - Theory

Version to appear in Phys. Rev. D

Scientific paper

We investigate quantum longitudinal rescaling of electrodynamics, transforming coordinates as $x^{0,3}\to\lambda x^{0,3}$ 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 $\lambda$ in the renormalized couplings. Our result is only valid for $\lambda \lesssim 1$, because perturbation theory breaks down for $\lambda \ll 1$.

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