Research
Gradient Flow Renormalization Group
Gradient flow is a continuous, diffusion-like smearing operation that smoothly removes ultraviolet (high-energy) fluctuations in a generic quantum field theory (QFT). The latter property permits the gradient flow transformation to describe a continuous renormalization group transformation through an appropriately defined rescaling operation on the fundamental fields of whatever QFT one wishes to investigate. My collaborators and I utilize this remarkable picture of gradient flow to turn it into a powerful numerical tool for studying the non-perturbative running of renormalized couplings in generic 4-dimensional gauge-fermion systems from high-performance simulations of lattice gauge theories. These techniques also allow us to extract running anomalous dimensions from ratios of gradient flowed correlation functions measured on the lattice.
Hadronic Vacuum Polarization Contribution to the Anomalous Magnetic Moment of the Muon
Ever since Brookhaven National Laboratory announced its experimental determination of the anomalous magnetic moment of the muon, a growing tension has arisen between experiment on one hand and theory-based semi-empirical calculations on the other. Since then, Fermilab has continued the experiment at Brookhaven and announced their first result in 2021. Over the last two decades, a fully non-perturbative method for calculating the hadron vacuum polarization contribution to the muon anomalous magnetic moment using lattice quantum chromodynamics has come about, allowing for a fully theoretical calculation of the muon’s anomalous magnetic moment from first-principles. I am part of a large collaborative effort aimed at extracting the aforementioned hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon from high-performance simulations of lattice quantum chromodynamics.