8 papers
The gradient-flow coupling of three-and four-dimensional QED
Lars Georg, Robert V. Harlander, Robert H. Mason
We evaluate the QED coupling in the gradient-flow scheme in three and four space-time dimensions. Our general result applies to any theory with a U(1) gauge field coupled to arbita…
Quark-mass effects in gradient-flow observables through next-to-next-to-leading order in QCD
Robert V. Harlander, Robert H. Mason
We provide results for the vacuum expectation values of the flowed action density, the quark condensate, and the quark kinetic operator in the gradient-flow formalism. We work in $…
Short-flow-time expansion of non-singlet twist-two operators at next-to-next-to-leading order QCD
Robert V. Harlander, Jonas T. Kohnen, Andrea Shindler
The gradient-flow formalism provides a framework for the direct determination of moments of parton distribution functions (PDFs) from lattice QCD calculations. Their conversion fro…
Gradient flow for parton distribution functions: first application to the pion
Anthony Francis, Patrick Fritzsch, Robert V. Harlander +9
Parton distribution functions (PDFs) are central to precision QCD phenomenology. Their Mellin moments can be computed on the lattice, but direct determinations using local operator…
A new approach to quark mass determination using the gradient flow
Hiromasa Takaura, Robert V. Harlander, Fabian Lange
We propose a new method to determine quark masses using ratios of the vacuum-expectation values (VEVs) of flowed quark bilinear operators. They can be expressed as functions of the…
The life cycle of scientific principles -- a template for characterizing physical principles
Radin Dardashti, Enno Fischer, Robert Harlander
Scientific principles can undergo various developments. While philosophers of science have acknowledged that such changes occur, there is no systematic account of the development o…