April 2012

Conference Paper

2D Gauge Field Theory

By:
Koshelkin, Andrey; Wong, Cheuk-Yin
Journal Name:
PoS - Proceedings of Science
Page Number:
1-6
Volume:
176
Issue Number:
N/A
Publication Date:
April 2012
Conference Name:
Sixth International Conference on Quarks and Nuclear Physics
Conference Location:
Palaiseau, France
Conference Sponsor:
Ecole Polytechnique

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 $g(4D)$ in QCD4. We also show that quarks and gluons in QCD2 acquire masses as a result of the compactification.