2 citations · 2 across the 13 of their papers we have counts for
14 papers
Recent applications of the gradient flow
R. Harlander, A. Shindler
The gradient flow provides a gauge- and O(4)-invariant ultraviolet regulator for QCD. This opens new opportunities for combining non-perturbative lattice calculations with perturba…
The perturbative Ricci flow in gravity
Robert V. Harlander, Yannick Kluth, Jonas T. Kohnen +1
We develop a perturbative formulation of the Ricci flow in gravity. Following steps analogous to the gradient flow in QCD, we supplement the usual Feynman rules for perturbative gr…
Heavy-Meson Bag Parameters using Gradient Flow
Matthew Black, Robert V. Harlander, Jonas T. Kohnen +4
We demonstrate the use of the gradient flow combined with the short flow-time expansion (GF+SFTX) as a renormalization procedure for four-quark operator matrix elements and associa…
Bag Parameters for Heavy Meson Lifetimes
Matthew Black, Robert V. Harlander, Jonas T. Kohnen +4
We calculate the dimension-six four-quark matrix elements describing heavy-meson lifetime ratios using the gradient flow with its short flow-time expansion as a renormalizat…
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…
Renormalized quark masses using gradient flow
Matthew Black, Robert V. Harlander, Anna Hasenfratz +2
We propose a new and simple method for determining the renormalized quark masses from lattice simulations. Renormalized quark masses are an important input to many phenomenological…
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…
Two-loop gradient-flow renormalization of scalar QCD
J. Borgulat, N. Felten, R. V. Harlander +1
The gradient-flow formalism is applied to a non-Abelian gauge theory with scalar and fermionic particles, dubbed "scalar QCD". It is shown that the flowed scalar quark requires a f…
Determining the Quark Mass with the Gradient Flow
Hiromasa Takaura, Robert Harlander, Fabian Lange
We propose a new method to determine the quark mass by using bilinear operators of the flowed quark field defined within the gradient-flow formalism. This method enables the quark…
Gradient Flow Renormalisation for Meson Mixing and Lifetimes
Matthew Black, Robert Harlander, Fabian Lange +3
Fermionic gradient flow in combination with the short-flow-time expansion provides a computational method where the renormalisation of hadronic matrix elements on the lattice can b…