Abstract
In this work, we investigate fractal properties in Yang–Mills fields, in particular their Hausdorff fractal dimension. Fractal properties of quantum chromodynamics (QCD) have been suggested as the origin of power-law distributions in high energy collisions, as well as of non-extensive properties that have been observed experimentally. The fractal dimension obtained here can be calculated directly from the properties of the field theory.
Highlights
In this work, we investigate fractal properties in Yang–Mills fields, in particular their Hausdorff fractal dimension
Yang–Mills field theory unifies three of the four known forces in a single framework in what is known as the Standard Model
Yang–Mills field theory (YMF) to obtain recurrence formulas that allow calculating quantum chromodynamics (QCD) processes at high orders of perturbation. This was done by identifying fractal structures of YMF, which may give rise to non-extensivity [1,2]
Summary
We investigate fractal properties in Yang–Mills fields, in particular their Hausdorff fractal dimension. We have considered the system as an ideal gas, but this is not completely correct for effective partons, since they have an internal structure, which is represented by self-interaction.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
