Higgs Centre for Theoretical Physics

Scattering amplitudes are a key input in calculating standard model predictions for particle colliders, and studying their analytic structure can provide vital insights. In maximally supersymmetric Yang-Mills theory, the analytic structure of amplitudes demonstrates a surprising connection with cluster algebras, commutative rings where generators are grouped into overlapping ‘clusters’. In ...

Collections of self-propelled, or active, interacting particles self-organize, flow, or jam in ways that differ from their equilibrium counterparts in very interesting ways, making their study an exciting new direction in nonequilibrium statistical physics. Several natural examples of self-driven interacting particles arise in cellular and subcellular biological assemblies, where one ...

High-dimensional random landscapes (random fields defined on high-dimensional manifolds) have been widely studied as models of the potential energy landscapes of complex systems. Elizabeth Gardner played a key role here, starting from her 1985 study of a prototypical landscape model, the Ising p-spin glass. In recent years these problems have ...

Regge theory was originally developed to capture the high-energy behavior of scattering amplitudes. In this talk, I will discuss how techniques from Regge theory can be used to predict Landau singularities of scattering amplitudes. We verify these predictions by numerically solving the Landau equations. This work is based on ongoing ...

Lattice QCD underpins precision calculations of strong-interaction effects needed for Standard Model tests, flavour physics and searches for physics beyond the Standard Model. Progress in these areas increasingly depends on overcoming computational bottlenecks that cannot be addressed through hardware improvements alone. As a means of addressing these challenges, machine learning ...