On the particle spectrum and the conformal window

M. P. Lombardo, K. Miura, T. J. Nunes da Silva, E. Pallante*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

33 Citations (Scopus)
273 Downloads (Pure)

Abstract

We study the SU(3) gauge theory with twelve flavours of fermions in the fundamental representation as a prototype of non-Abelian gauge theories inside the conformal window. Guided by the pattern of underlying symmetries, chiral and conformal, we analyze the two-point functions theoretically and on the lattice, and determine the finite size scaling and the infinite volume fermion mass dependence of the would-be hadron masses. We show that the spectrum in the Coulomb phase of the system can be described in the context of a universal scaling analysis and we provide the nonperturbative determination of the fermion mass anomalous dimension gamma* = 0.235(46) at the infrared fixed point. We comment on the agreement with the four-loop perturbative prediction for this quantity and we provide a unified description of all existing lattice results for the spectrum of this system, them being in the Coulomb phase or the asymptotically free phase. Our results corroborate the view that the fixed point we are studying is not associated to a physical singularity along the bare coupling line and estimates of physical observables can be attempted on either side of the fixed point. Finally, we observe the restoration of the U(1) axial symmetry in the two-point functions.

Original languageEnglish
Article number183
Pages (from-to)1-41
Number of pages41
JournalJournal of High Energy Physics
Issue number12
DOIs
Publication statusPublished - 31-Dec-2014

Keywords

  • Lattice Gauge Field Theories
  • Conformal and W Symmetry
  • Beyond Standard Model
  • Renormalization Group
  • CHIRAL PHASE-TRANSITION
  • QUANTUM-FIELD THEORIES
  • GAUGE-THEORIES
  • VOLUME DEPENDENCE
  • ENERGY-SPECTRUM
  • BETA-FUNCTION
  • QCD
  • FLAVORS
  • STATES

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