More About QCD 3 On The World Sheet

TL;DR

This paper extends the world sheet approach to planar QCD in 1+2 dimensions, using a variational method to find a solitonic ground state and demonstrate string formation with linear trajectories at high energies.

Contribution

It generalizes and improves a variational approach to analyze the ground state and string formation in 1+2 dimensional QCD on the world sheet.

Findings

Identification of a solitonic ground state

String formation indicated by fluctuations

Linear string trajectory at high energies

Abstract

In this article, we extend the world sheet treatment of planar QCD in 1+2 dimensions from an earlier work. The starting point is a field theory that lives on the world sheet, parametrized by the light cone variables. In the present work, we generalize and extend the variational approach introduced earlier to get sharper results. An iterative solution to the variational equations leads to a solitonic ground state, and fluctuations around this ground state signals formation of a string on the world sheet. At high energies, the asymptotic limit of the string trajectory is linear, with calculable corrections at lower energies.