Abstract
We show how the increase in the Instanton-dyon density can explain both Confinement and Chiral symmetry breaking. We simulate an ensemble of 64 interacting Instanton-dyons for 2 colors and 0 or 2 quark flavors. We find that at low temperatures, the high density of dyons prefer a symmetric density, which leads to the confining value of the Polyakov Loop. At the same time the Chiral condensate is highly sensitive to the Polyakov Loop. As the Polyakov Loop gets close to the confining value, the Chiral condensate develops a non-zero expectation value, thus breaking Chiral symmetry.
Highlights
IntroductionWe show how a picture of instanton-dyons can lead to the confinement-deconfinement transition for 2 colors and 0 or 2 quark flavors and chiral symmetry breaking for 2 flavors
The talk was based on the two papers [1] [2]
We show how a picture of instanton-dyons can lead to the confinement-deconfinement transition for 2 colors and 0 or 2 quark flavors and chiral symmetry breaking for 2 flavors
Summary
We show how a picture of instanton-dyons can lead to the confinement-deconfinement transition for 2 colors and 0 or 2 quark flavors and chiral symmetry breaking for 2 flavors. This is possible due to the dyons being dependent on the Polyakov loop, and at the same time being topological objects, which is needed in order to create the almost-zero-mode zone from the zero-mode solutions around each of the dyons. We work with the third color direction a = 3. The dyons have magnetic and electric charge, and their classical action is linear dependent on the holonomy.
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