Case studies of near-conformal β-functions

Zoltan Fodor, Kieran Holland, Julius Kuti, Daniel Nogradi, Chik Him Wong

Research output: Contribution to journalConference articlepeer-review

4 Scopus citations


We present updated results for the non-perturbative β-function of SU(3) gauge theories with Nf = 12 or 10 massless flavors in the fundamental rep or Nf = 2 in the sextet rep, measured with staggered fermions. New data at finer lattice spacing and our previously introduced method, the infinitesimal β-function, strengthen the case that the Nf = 12 model has no infrared fixed point up to g2 = 7.2. We show how underestimated cutoff dependence in one domain wall study for Nf = 10 has been corrected, which is now consistent with staggered results showing a monotonically increasing β-function. A consistent theme is that too small volumes can lead to apparent fixed points which vanish towards the continuum limit. We also apply the infinitesimal β-function method to the Nf = 10 model, finding consistent behavior with the finite-step β-function. Ongoing simulations and analysis for the sextet model confirm our previous results from weak to strong coupling with a non-zero β-function throughout, in quantitative difference to Wilson fermion simulations [14].

Original languageEnglish (US)
Article number121
JournalProceedings of Science
StatePublished - 2019
Event37th International Symposium on Lattice Field Theory, LATTICE 2019 - Wuhan, China
Duration: Jun 16 2019Jun 22 2019

All Science Journal Classification (ASJC) codes

  • General


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