Fractional instantons and Confinement: first results on a $T_2 \times R^2$ roadmap
Year: 2025
Type: conference-paper
Abstract: We report results obtained for SU(2) Yang-Mills theory on a four dimensional torus with two directions much smaller than the other two. The small 2-torus is equipped with twisted boundary conditions. This construction provides a way to interpolate from a region in which semiclassical methods can be applied (for small 2-torus size) to the standard infinite volume case. Our simu- lations at small torus sizes show how the topological charge and the string tension result from a gas of vortex-like fractional instantons. As the size becomes larger the density increases and the separation of structures tends to a constant in agreement with the fractional instanton liquid model picture of the Yang-Mills vacuum.
DOI: 10.22323/1.466.0408
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Awards: G1175115578, G1622782223, G2262748287, G2554159582, G2756433129, G282847690, G300979063, G34346518, G3454045019, G3480869486, G410571670, G425668148, Starke Wechselwirkungen jenseits des Standardmodells: Supersymmetrie auf dem Gitter, Dualitäten und Confinement, G451917667, G5080475149, G5539308778, G5967599077, G7084143925, Starke Wechselwirkungen jenseits des Standardmodells: Confinement und GaugeGravity Dualitäten auf dem Gitter, G929308097
OpenAlex ID: W4407319897