TL;DR
This paper demonstrates how QCD in four dimensions can be approximately reduced to a two-dimensional model under certain conditions, revealing relationships between coupling constants and mass generation for quarks and gluons.
Contribution
It introduces a method to compactify QCD4 to QCD2, establishing a relation between their coupling constants and showing mass acquisition for particles.
Findings
QCD4 can be approximated as QCD2 under longitudinal dominance and transverse confinement.
The relation between g(2D) and g(4D) coupling constants is derived.
Quarks and gluons gain mass through the compactification process.
Abstract
We show from the action integral that under the assumption of longitudinal dominance and transverse confinement, QCD4 in (3+1) dimensional space-time can be approximately compactified into QCD2 in (1+1) dimensional space-time. In such a process, we find the relation between the coupling constant g(2D) in QCD2 and the coupling constant in QCD4. We also show that quarks and gluons in QCD2 acquire masses as a result of the compactification.
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