Speaker
Curtis Peterson
(University of Colorado at Boulder)
Description
The interpretation of gradient flow as a Wilsonian renormalization group (RG) transformation allows one to determine the continuous RG beta function. This approach is alternative to the finite-volume step-scaling function. Unlike step-scaling methods, where the lattice volume must provide the only scale, the continuous beta function can be used even in the confining regime. We demonstrate this technique in SU$(3)$ Yang-Mills theory and explore the determination of the $\Lambda$-parameter. Our investigation is based on simulations done with the tree-level Symanzik action on volumes up to $48^4$ and bare gauge couplings between $4.5$ and $8.5$.
Primary author
Curtis Peterson
(University of Colorado at Boulder)
Co-authors
Anna Hasenfratz
(university of colorado boulder)
Oliver Witzel
(Universität Siegen)
Jake Van Sickle
(University of Colorado at Boulder)
