Longitudinal Rescaling of Quantum Chromodynamics

TL;DR

This paper investigates how quantum longitudinal rescaling affects the QCD action at one loop, revealing anomalous scaling behaviors due to quantum fluctuations, with results applicable only for small rescaling parameters.

Contribution

It introduces a method to analyze quantum longitudinal rescaling in QCD using an aspherical Wilsonian approach, extending previous work on Yang-Mills and QED.

Findings

Quantum fluctuations induce anomalous powers in rescaling coefficients.

Results are valid only for small rescaling parameters due to perturbation theory limitations.

The approach provides insights into quantum effects on coordinate rescaling in QCD.

Abstract

We examine the effect of quantum longitudinal rescaling of coordinates, on the action of quantum chromodynamics (with quarks) to one loop. We use an aspherical Wilsonian integration (previously applied to the pure Yang-Mills theory and to quantum electrodynamics). Quantum fluctuations produce anomalous powers of the rescaling parameter in the coefficients of the rescaled action. Our results are valid for small rescalings only, because perturbation theory breaks down for large rescalings.