# QCD 3 On The World Sheet

Source: [QCD 3 On The World Sheet](<https://www.sota2.com/research/paper/68fa3a7e1e209131ce8cb01e>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T00:05:38.056Z

Authors: K.Bardakci

Published: 2019-05-13T21:39:05.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1905.05294>)

[PDF](<https://arxiv.org/pdf/1905.05294.pdf>)