12–14 Feb 2025
University of Zürich
Europe/Zurich timezone

Classically perfect gradient flows

13 Feb 2025, 15:30
30m
Y36-K08 (University of Zürich)

Y36-K08

University of Zürich

Winterthurerstrasse 190 8057 Zürich Switzerland
Contribution Session 8

Speaker

Urs Wenger

Description

Classically perfect fixed-point lattice actions preserve continuum classical properties while reducing lattice artifacts at the quantum level. They allow the extraction of continuum physics from coarser lattices and hence provide an effective way to overcome the challenges of critical slowing down and topological freezing as the continuum limit is approached. In this talk we show that fixed-point actions can be used to define classically perfect gradient-flow observables which are free of tree-level lattice artifacts to all orders. We demonstrate the effectiveness of this approach using a fixed-point action for four-dimensional SU(3) gauge theory obtained from a machine-learned gauge-covariant convolutional neural network.

Authors

Prof. Andreas Ipp (TU Wien) Dr David Müller (TU Wien) Prof. Kieran Holland (University of the Pacific, Stockton) Urs Wenger

Presentation materials