Year: 2020
Type: article
Abstract: We present a real-space renormalization group transformation with continuous scale change to calculate the continuous renormalization group $\ensuremath{\beta}$ function in nonperturbative lattice simulations. Our method is motivated by the connection between Wilsonian renormalization group and the gradient flow transformation. It does not rely on the perturbative definition of the renormalized coupling and is also valid at nonperturbative fixed points. Although our method requires an additional extrapolation compared to traditional step scaling calculations, it has several advantages which compensates for this extra step even when applied in the vicinity of the perturbative fixed point. We illustrate our approach by calculating the $\ensuremath{\beta}$ function of 2-flavor QCD and show that lattice predictions from individual lattice ensembles, even without the required continuum and finite volume extrapolations, can be very close to the result of the full analysis. Thus our method provides a nonperturbative framework and intuitive understanding into the structure of strongly coupled systems, in addition to being complementary to existing lattice determinations.
Authors: Anna Hasenfratz, Oliver Witzel
Institution: University of Colorado Boulder
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Funders: National Science Foundation, U.S. Department of Energy, Colorado State University, CERN, National Energy Research Scientific Computing Center, Deutsche Forschungsgemeinschaft, Munich Institute for Astro- and Particle Physics, Office of Science, University of Colorado Boulder, Mainz Institute for Theoretical Physics, Johannes Gutenberg University Mainz, Fermilab, Thomas Jefferson National Accelerator Facility
Awards: G122673668, G1286236842, G1394709509, G1414775356, G1677143136, G1816284028, G1863003419, ELEMENTARY PARTICLE PHYSICS AND HIGH ENERGY PHENOMENA, G2586609609, G2796167598, G3083819904, G3226045097, G332579857, G365575497, G3685081974, XSEDE 2.0: Integrating, Enabling and Enhancing National Cyberinfrastructure with Expanding Community Involvement, G419881185, MRI Collaborative Consortium: Acquisition of a Shared Supercomputer by the Rocky Mountain Advanced Computing Consortium, G42916606, G4382344593, G4501827968, G4958434179, G498139845, G5076365615, MRI Collaborative Consortium: Acquisition of a Shared Supercomputer by the Rocky Mountain Advanced Computing Consortium, G5296923526, G5590740066, G5607711389, G5608225264, G6806689448, ELEMENTARY PARTICLE PHYSICS AND HIGH ENERGY PHENOMENA, G805243471, G8929392486, G950203606, G969889393
OpenAlex ID: W2980370694