Ground state of Yang-Mills theory in 2+1 dimensions

TL;DR

This paper compares a new theoretical framework for 2+1 dimensional Yang-Mills theory with lattice results, confirming its accuracy in predicting the string tension and spectrum, and supports the AdS/CFT flux tube approach.

Contribution

It introduces a novel theoretical approach for Yang-Mills in 2+1 dimensions and validates it against lattice data, also linking it to the AdS/CFT flux tube model.

Findings

Excellent agreement with lattice results for string tension

Striking confirmation of the new theoretical framework

Support for the AdS/CFT flux tube description

Abstract

Yang-Mills theory in 2+1 dimensions showed to be a research area yielding firm results in theoretical physics when compared to lattice computations. Recent analysis displayed astonishing agreement for the value of the string tension and excellent comparison for the spectrum. This successful approach can be put at test with a different theoretical framework that we devised in our preceding work for the scalar field theory in the strong coupling limit. The confirmations we get are really striking supporting it in full. As a by-product we are also able to show how AdS/CFT approach, with a description using flux tubes, is supported exactly as expected in the Isgur-Paton model with a dimensionless correction factor for the ground state of the theory already determined in lattice computations.