Non-perturbative determination of anomalous dimensions of bound states in QCD and beyond

17 Jun 2019, 14:20
20m
Shimao 1A+1B

Shimao 1A+1B

Parallel Theoretical Developments Theoretical Developments

Speaker

Anna Hasenfratz (university of colorado boulder)

Description

Anomalous dimensions of composite operators like the scalar, tensor, or baryon are important
to determine energy dependent renormalization constants. Until now only perturbative predictions were available.
The recent proposal [PRL 121 (2018) 201601] provides a non-perturbative determination of anomalous dimensions in conformal systems
by defining a continuous real-space renormalization group transformation from gradient flow.

In this work we generalize the method to determine the running anomalous dimensions in QCD-like systems and
present results for the scalar, tensor, and baryon anomalous dimensions as the function of the
running coupling up to $g^2 \approx 10$.

We also investigate the emergence of chiral-spin symmetry suggested by Glozman et al.

Authors

Anna Hasenfratz (university of colorado boulder) Oliver Witzel (University of Colorado Boulder)

Presentation materials