Christopher Monahan (William & Mary)
The gradient flow, which exponentially suppresses ultraviolet field fluctuations and thus removes ultraviolet divergences (up to a multiplicative fermionic wavefunction renormalization), can be used to describe real-space Wilsonian renormalization group transformations and determine the corresponding beta function. We recently proposed a new nonperturbative renormalization scheme for local composite fermionic operators that uses the gradient flow and is amenable to lattice QCD calculations. Here we present nonperturbative results for the beta function and the Lambda parameter in two flavour QCD, along with the nonperturbative running of quark bilinear operators, obtained using our gradient flow scheme.
Andrea Shindler (Michigan State University) Anna Hasenfratz (University of Colorado Boulder) Christopher Monahan (William & Mary) Matthew Rizik (Michigan State University) Oliver Witzel (University Siegen)