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Nonperturbative Renormalization of Operators in Near-Conformal Systems Using Gradient Flows

Andrea Carosso, Anna Hasenfratz, and Ethan T. Neil
Phys. Rev. Lett. 121, 201601 – Published 14 November 2018

Abstract

We propose a continuous real space renormalization group transformation based on gradient flow, allowing for a numerical study of renormalization without the need for costly ensemble matching. We apply our technique in a pilot study of SU(3) gauge theory with Nf=12 fermions in the fundamental representation, finding the mass anomalous dimension to be γm=0.23(6), consistent with other perturbative and lattice estimates. We also present the first lattice calculation of the nucleon anomalous dimension in this theory, finding γN=0.05(5).

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  • Received 27 June 2018
  • Revised 11 September 2018

DOI:https://doi.org/10.1103/PhysRevLett.121.201601

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Andrea Carosso1,*, Anna Hasenfratz1,†, and Ethan T. Neil1,2,‡

  • 1Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
  • 2RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA

  • *Andrea.Carosso@colorado.edu
  • Anna.Hasenfratz@colorado.edu
  • ethan.neil@colorado.edu

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Issue

Vol. 121, Iss. 20 — 16 November 2018

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