Julian Urban

Sep 29, 2023 | link.aps.org | Jan Pawlowski |Universität Heidelberg |Julian Urban

Emerging sampling algorithms based on normalizing flows have the potential to solve ergodicity problems in lattice calculations. Furthermore, it has been noted that flows can be used to compute thermodynamic quantities which are difficult to access with traditional methods. This suggests that they are also applicable to the density-of-states approach to complex action problems.

Feb 16, 2023 | link.aps.org | Daniel Spitz |Universität Heidelberg |Julian Urban |Jan Pawlowski

Abstract We investigate the structure of confining and deconfining phases in SU(2) lattice gauge theory via persistent homology, which gives us access to the topology of a hierarchy of combinatorial objects constructed from given data. Specifically, we use filtrations by traced Polyakov loops, topological densities, holonomy Lie algebra fields, as well as electric and magnetic fields. This allows for a comprehensive picture of confinement.