2013/11/30 by Shinya Matsuzaki, Koichi Yamawaki · 93 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Boson #Chiral perturbation theory #Goldstone boson #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Pion decay constant #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #hep-lat #hep-ph
paper · pdf · doi:10.1103/physrevlett.113.082002
published in Physical Review Letters 113(8), 082002 (American Physical Society) · 2 eps figures, 5 pages, latex, a version to be published in Phys. Rev. Lett
arxiv created 2014/07/29 · openalex publication_date 2014/08/20 · arxiv updated 2014/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a scale-invariant chiral perturbation theory of the pseudo-Nambu-Goldstone bosons of chiral symmetry (pion \ensuremathπ) as well as the scale symmetry (dilaton \ensuremathφ) for large Nf QCD. The resultant dilaton mass M_\ensuremathφ reads M_\ensuremathφ2=m_\ensuremathφ2+(1)/(4)(3\ensuremath-\ensuremathγm)(1+\ensuremathγm)(2NfF_\ensuremathπ2/F_\ensuremathφ2)m_\ensuremathπ2+(chiral log corrections), where m_\ensuremathφ, m_\ensuremathπ, \ensuremathγm, F_\ensuremathπ, and F_\ensuremathφ are the dilaton mass in the chiral limit, the pion mass, the mass anomalous dimension, and the decay constants of \ensuremathπ and \ensuremathφ, respectively. The chiral extrapolation of the lattice data, when plotted as M_\ensuremathφ2 versus m_\ensuremathπ2, then simultaneously determines (m_\ensuremathφ, F_\ensuremathφ) of the technidilaton in walking technicolor with \ensuremathγm\ensuremath≃1. The chiral logarithmic corrections are explicitly given.