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Title: The Compactification of QCD4 to QCD2 in a Flux Tube

Abstract

We show from 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 show how the quark and the gluon in QCD2 acquire masses arising their being confined within the tube, and how all these quantities depend on the excitation of the partons in the transverse degree of freedom. The variation of the gluon fields leads to an additional mass that depends on the coupling constant g(2D). The compactification facilitates the investigation of some problems in QCD4 in the simpler dynamics of QCD2.

Authors:
 [1];  [2]
  1. Moscow Institute for Physics and Engineering, Russia
  2. ORNL
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1058934
DOE Contract Number:  
DE-AC05-00OR22725
Resource Type:
Journal Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 86; Journal Issue: 12; Journal ID: ISSN 1550--7998
Country of Publication:
United States
Language:
English

Citation Formats

Koshelkin, Andrey V., and Wong, Cheuk-Yin. The Compactification of QCD4 to QCD2 in a Flux Tube. United States: N. p., 2012. Web. doi:10.1103/PhysRevD.86.125026.
Koshelkin, Andrey V., & Wong, Cheuk-Yin. The Compactification of QCD4 to QCD2 in a Flux Tube. United States. https://doi.org/10.1103/PhysRevD.86.125026
Koshelkin, Andrey V., and Wong, Cheuk-Yin. Sun . "The Compactification of QCD4 to QCD2 in a Flux Tube". United States. https://doi.org/10.1103/PhysRevD.86.125026.
@article{osti_1058934,
title = {The Compactification of QCD4 to QCD2 in a Flux Tube},
author = {Koshelkin, Andrey V. and Wong, Cheuk-Yin},
abstractNote = {We show from 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 show how the quark and the gluon in QCD2 acquire masses arising their being confined within the tube, and how all these quantities depend on the excitation of the partons in the transverse degree of freedom. The variation of the gluon fields leads to an additional mass that depends on the coupling constant g(2D). The compactification facilitates the investigation of some problems in QCD4 in the simpler dynamics of QCD2.},
doi = {10.1103/PhysRevD.86.125026},
url = {https://www.osti.gov/biblio/1058934}, journal = {Physical Review D},
issn = {1550--7998},
number = 12,
volume = 86,
place = {United States},
year = {2012},
month = {1}
}