Thursday 27 March 2025
The evolution of entropy in deep-inelastic scattering has long been a topic of interest for physicists, as it holds the key to understanding the fundamental nature of quantum chromodynamics (QCD). Recent research has shed new light on this phenomenon, revealing that the entropy of gluons in small-x region is closely tied to the running coupling constant.
Gluons are the particles responsible for mediating interactions between quarks and other gluons within protons. In deep-inelastic scattering, a beam of electrons or positrons collides with a proton, causing it to emit a shower of hadrons, including charged pions, kaons, and neutrons. The entropy of these hadrons is a measure of the disorder or randomness in their distribution.
Researchers have used a variety of methods to study the entropy of gluons, including perturbative calculations and lattice gauge theory simulations. However, these approaches are limited by their reliance on simplifying assumptions and lack of direct access to the underlying dynamics.
A new approach has been developed that uses the Laplace transform to evolve the entropy of gluons from a known initial condition. This method allows researchers to obtain an analytical solution for the entropy based on the evolved gluon distribution function, which is derived from the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations.
The results of this study show that the entropy of gluons in small-x region is sensitive to the running coupling constant, which describes how the strength of interactions between quarks and gluons changes with energy scale. The researchers found that the entropy decreases as the order of evolution increases, which is consistent with the Balitsky-Fadin-Kuraev-Lipatov (BFKL) Pomeron in the leading-order (LO) and next-to-leading order (NLO) approximations.
The study also reveals that the entropy of gluons is influenced by purely gluonic emissions, which are processes where a gluon emits another gluon without creating any quarks. This effect becomes more pronounced at higher energies, where the running coupling constant is stronger.
The implications of this research are significant for our understanding of QCD and its role in shaping the behavior of hadrons. The study provides new insights into the dynamics of high-energy interactions, which could have important consequences for particle colliders and other areas of physics.
Cite this article: “Entropy of Gluons in Deep-Inelastic Scattering: Insights into Quantum Chromodynamics”, The Science Archive, 2025.
Quantum Chromodynamics, Deep-Inelastic Scattering, Entropy, Gluons, Running Coupling Constant, Dglap Evolution Equations, Bfkl Pomeron, Particle Colliders, Lattice Gauge Theory, Small-X Region.
Reference: G. R. Boroun, Phuoc Ha, “Evolution of entropy at small $x$” (2025).
