Publications (11)
Condensation and prescaling in spatial Polyakov loop correlations far from equilibrium
Daniel Spitz, Kirill Boguslavski, Thimo Preis
The far-from-equilibrium dynamics of spatial Polyakov loop correlations, which provide gauge-invariant observables akin to effective particle numbers for gluon plasmas, are investi…
The self-similar evolution of stationary point processes via persistent homology
Daniel Spitz, Anna Wienhard
Persistent homology provides a robust methodology to infer topological structures from point cloud data. Here we explore the persistent homology of point clouds embedded into a pro…
Topological data analysis of the deconfinement transition in SU(3) lattice gauge theory
Daniel Spitz, Julian M. Urban, Jan M. Pawlowski
We study the confining and deconfining phases of pure lattice gauge theory with topological data analysis. This provides unique insights into long range correlatio…
Quantum fields on projective geometries
Daniel Spitz
Considering homogeneous four-dimensional space-time geometries within real projective geometry provides a mathematically well-defined framework to discuss their deformations and li…
Similarities between projective quantum fields and the Standard Model
Daniel Spitz
Many homogeneous, four-dimensional space-time geometries can be considered within real projective geometry, which yields a mathematically well-defined framework for their deformati…
Detecting defect dynamics in relativistic field theories far from equilibrium using topological data analysis
Viktoria Noel, Daniel Spitz
We study nonequilibrium dynamics of relativistic -component scalar field theories in Minkowski space-time in a classical-statistical regime, where typical occupation numbers of…
Condensation and thermalization of an easy-plane ferromagnet in a spinor Bose gas
Maximilian Prüfer, Daniel Spitz, Stefan Lannig +3
The extensive control of spin makes spintronics a promising candidate for future scalable quantum devices. For the generation of spin-superfluid systems, a detailed understanding o…
Probing universal dynamics with topological data analysis in a gluonic plasma
Daniel Spitz, Kirill Boguslavski, Jürgen Berges
We study nonequilibrium dynamics of SU(2) lattice gauge theory in Minkowski space-time in a classical-statistical regime, where characteristic gluon occupancies are much larger tha…
Finding self-similar behavior in quantum many-body dynamics via persistent homology
Daniel Spitz, Jürgen Berges, Markus K. Oberthaler +1
Inspired by topological data analysis techniques, we introduce persistent homology observables and apply them in a geometric analysis of the dynamics of quantum field theories. As…
Towards a topological data analysis for heavy-ion collisions
Federica Capellino, Andrea Dubla, Silvia Masciocchi +2
The collective expansion of the quark-gluon plasma (QGP) created in heavy-ion collisions suggests that geometry-inspired approaches can be useful in extracting information about th…
Confinement in non-Abelian lattice gauge theory via persistent homology
Daniel Spitz, Julian M. Urban, Jan M. Pawlowski
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 comb…