Instanton effects in three flavor QCD

Michael Dine, Patrick Draper, and Guido Festuccia
Phys. Rev. D 92, 054004 – Published 3 September 2015

Abstract

Recently it was shown that in QCD-like theories with Nf>N, where Nf is the number of light flavors and N is the number of colors, there are correlation functions that vanish in perturbation theory and at short distances receive dominant, calculable contributions from small instantons. Here we extend the set of such objects to theories with Nf=N, which includes real QCD, and discuss their application as a calibration of lattice computations at small quark mass. We revisit the related issue of the u quark mass and its additive renormalization by small instantons, and discuss an alternative test of mu=0 on the lattice.

  • Figure
  • Figure
  • Received 30 May 2015

DOI:https://doi.org/10.1103/PhysRevD.92.054004

© 2015 American Physical Society

Authors & Affiliations

Michael Dine1, Patrick Draper2, and Guido Festuccia3

  • 1Santa Cruz Institute for Particle Physics and Department of Physics, Santa Cruz, California 95064, USA
  • 2Department of Physics, University of California, Santa Barbara, California 93106, USA
  • 3Niels Bohr International Academy and Discovery Center, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen Ø, Denmark

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Issue

Vol. 92, Iss. 5 — 1 September 2015

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