Instanton Effects in Three Flavor QCD
Abstract
Recently it was shown that in QCD-like theories with , where is the number of light flavors and 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 , 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 quark mass and its additive renormalization by small instantons, and discuss an alternative test of on the lattice.
Cite
@article{arxiv.1410.8505,
title = {Instanton Effects in Three Flavor QCD},
author = {Michael Dine and Patrick Draper and Guido Festuccia},
journal= {arXiv preprint arXiv:1410.8505},
year = {2015}
}
Comments
22 pages, 2 figures. v3: reordered discussion of finite correlators and low energy constants, version published in PRD. v2: amended discussion of calculable vs incalculable effects for $N_f\leq N$