QCD 3 On The World Sheet
Abstract
In this article, we apply the world sheet approach developed in earlier work to QCD in 1+2 dimensions. The starting point is a field theory on the world sheet that reproduces the planar graphs of QCD parametrized by the light cone variables. We study the ground state of this model using a variational approach, and show that it consists of a set of graphs infinitely dense on the world sheet. The energy of this new ground state is lower than that of the empty world sheet, signaling a phase transition. Also, a finite mass is generated in the originally massless theory. Finally, we consider a particular set of time dependent fluctuations about the static ground state configuration, which result in the formation of a string on the world sheet.
Cite
@article{arxiv.1905.05294,
title = {QCD 3 On The World Sheet},
author = {K. Bardakci},
journal= {arXiv preprint arXiv:1905.05294},
year = {2019}
}
Comments
21 pages, 2 figures. More typos corrected. A paragraph is rewritten for clarity. Results are unchanged