The gradient flow field transformation

20 March 2023 — 24 March 2023

Aula Renzo Leonardi - Villa Tambosi

Str. delle Tabarelle, 286, 38123 Villazzano TN

Aula Renzo Leonardi - Villa Tambosi

Str. delle Tabarelle, 286, 38123 Villazzano TN

The gradient flow field transformation is a continuous smoothing transformation that removes ultraviolet fluctuations. It can serve as a tool to renormalize quantum field theories, allowing numerical studies of strongly coupled systems. The flow has been used extensively in lattice gauge theory calculations, both in QCD and in beyond  the  standard  model  settings  for  applications including scale setting, the determination of the running coupling constant and the corresponding renormalization group beta function, and the topological structure of the vacuum. Many of the newly emerging applications of the gradient flow depend on the perturbative connection of the gradient flow and continuum renormalization schemes,  requiring  difficult  perturbative  calculations  that match the non-perturbative lattice methods. This workshop will bring together experts in lattice and perturbative QCD to discuss recent progress in the application of the gradient flow, develop common ideas, identify needs and possibilities for the gradient flow and to spark collaborative efforts.


  • Christopher Monahan (William & Mary, United States)
  • Robert Harlander (Aachen University, Germany)
  • Anna Hasenfratz (University of Colorado, Boulder, United States)
  • Oliver Witzel (Siegen University, Germany)


See complete details and information


Registration available from 20/01/2023 until 26/02/2023.

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