Gradient flow is a diffusion-like smearing transformation that smoothly suppresses short-distance ultraviolet fluctuations, thus introducing a simple non-perturbative method to renormalise strongly-coupled theories such as Quantum Chromodynamics (QCD).
It has become an invaluable tool in lattice simulations of both QCD and theories beyond the Standard Model, providing a method for e.g. scale setting and the topological structure of the vacuum.
Many recent developments have identified the deep potential of the gradient flow as a renormalisation procedure, opening new methodologies to calculate running couplings, the renormalisation group beta function, and renormalised composite operators.
These applications often depend on perturbative calculations in the short-flow-time expansion to match the gradient flow to other renormalisation schemes and provide phenomenologically-relevant results, for observables such as the energy-momentum tensor, quark masses, and parton distribution functions.
This workshop will convene the leading experts on both the perturbative and non-perturbative aspects of gradient flow to tackle the current theoretical and computational challenges, and to chart the future directions of this growing field.
All participants are expected to arrange and pay for their own travel and accommodation.
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