Longitudinal Rescaling of Quantum Electrodynamics

Abstract

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 $\lambda \ll 1$.

Version to appear in Phys. Rev. D

References in corpus (2)

• Fock Space Distributions, Structure Functions, Higher Twists and Small x
• Longitudinal Rescaling and High-Energy Effective Actions

Cited by in corpus (2)

• Renormalisation of gauge theories on general anisotropic lattices and high-energy scattering in QCD
• Scaling Transformation for Nonlocal Interactions