Ethan Neil, University of Colorado

Abstract: Renormalization has several important applications in
high-energy physics, but in strongly-coupled theories like QCD it must be
studied non-perturbatively.  Lattice Monte Carlo methods provide a
numerical and non-perturbative approach, but the standard methods for
calculating operator renormalization using lattice Monte Carlo have
significant drawbacks in certain contexts.  I will discuss new work
attempting to define a continuous renormalization-group transformation
using a "gradient flow" equation, and show preliminary numerical results
in 4d gauge-fermion theory and 3d phi^4 theory.

Ethan Neil, University of Colorado

Abstract: Renormalization has several important applications in
high-energy physics, but in strongly-coupled theories like QCD it must be
studied non-perturbatively.  Lattice Monte Carlo methods provide a
numerical and non-perturbative approach, but the standard methods for
calculating operator renormalization using lattice Monte Carlo have
significant drawbacks in certain contexts.  I will discuss new work
attempting to define a continuous renormalization-group transformation
using a "gradient flow" equation, and show preliminary numerical results
in 4d gauge-fermion theory and 3d phi^4 theory.