Two-dimensional dynamics of QCD_3
B.Rusakov (Oxford University)
TL;DR
This paper derives an exact two-dimensional loop-variable formulation of pure gauge lattice QCD in three dimensions, revealing a unique property of the gauge field and comparing it with principal chiral field models.
Contribution
It introduces a novel exact formulation of 3D lattice QCD as a 2D model, highlighting a unique gauge field property and providing a basis for further analysis.
Findings
The model is effectively two-dimensional due to the gauge field property.
The model is defined on an infinite genus surface covering the original lattice.
Comparison with principal chiral field models shows similarities and differences.
Abstract
Exact loop-variables formulation of pure gauge lattice QCD_3 is derived from the Wilson version of the model. The observation is made that the resulting model is two-dimensional. This significant feature is shown to be a unique property of the gauge field. The model is defined on the infinite genus surface which covers regularly the original three-dimensional lattice. Similar transformation applied to the principal chiral field model in two and three dimensions for comparison with QCD.
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