Nuclear matter in 1+1 dimensions
Robert M. Konik, Marton Lajer, Robert D. Pisarski, and Alexei M., Tsvelik
TL;DR
This paper reviews the solution of two-dimensional QCD, showing that in the strong coupling limit with a single flavor, the theory behaves as a Luttinger liquid, providing insights into low-dimensional gauge theories.
Contribution
It demonstrates that 2D QCD with one flavor can be analyzed via Abelian bosonization and maps to a Luttinger liquid in the strong coupling regime.
Findings
QCD in 1+1 dimensions can be solved using Abelian bosonization.
In the strong coupling limit, the theory exhibits Luttinger liquid behavior.
The analysis provides a bridge between gauge theories and condensed matter models.
Abstract
We review the solution of QCD in two spacetime dimensions. Following the analysis of Baluni, for a single flavor the model can be analyzed using Abelian bosonization. The theory can be analyzed in strong coupling, when the quarks are much lighter than the gauge coupling. In this limit, the theory is given by a Luttinger liquid.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Quantum Chromodynamics and Particle Interactions · Quantum, superfluid, helium dynamics