Lattice Field Theory

Institut für Physik
Mathematisch-Naturwissen­schaft­liche Fakultät
Humboldt-Universität zu Berlin

Andres Stump
PhD Student

Office: 1.019 (IRIS)
Address: IRIS Adlershof, Zum Großen Windkanal 2, 12489 Berlin
Email: andres.​stump@​hu-berlin.​de
Profiles: INSPIRE

Short Bio

Research Interests

My research is in the area of lattice quantum chromodynamics (lattice QCD), which describes the strong interaction in discretised Euclidean space-time in finite volume, i.e. on a lattice. More specifically, I’m working on hadron spectroscopy, which aims to determine the masses and energies of hadrons, the bound states of QCD. They are extracted from two-point functions of operators that carry the quantum numbers of the desired hadron. From the exponential decay of these two-point functions at large Euclidean times, the energy of the hadron can be extracted. A more sophisticated approach is to use multiple operators within the variational method. Here, a matrix of two-point functions is used to extract the lowest energy levels of the hadronic system.

Lattice QCD works with both nonzero lattice spacing and finite volume, so these systematic effects have to be taken into account. Discretisation effects are dealt with by conducting the simulations with multiple lattice spacings and extrapolating to the continuum. For finite-volume effects, such an extrapolation to infinite volume is computationally too expensive. Instead, we treat them by using Lüscher’s finite-volume quantization conditions. These conditions are used to relate the low-lying energy levels of a hadronic system in finite volume to its scattering amplitude in infinite volume. Using amplitude analysis, the poles in the latter can be related to the energies of the hadrons in this system.

With my supervisor Jeremy Green, I’m applying these methods to calculate the energy of the Tcc(3875)+ tetraquark, an exotic hadron observed at LHCb. At a later stage, we hope to analyse the d(2380) dibaryon which is an excited state of the deuteron.

Most Recent Publications

Andres Stump, Jeremy R. Green
Distillation and position-space sampling for local multiquark interpolators
PoS LATTICE2024 (2025) 094
arXiv: 2412.09246 [hep-lat]