2020/02/12 by Z. Fodor, Fodor, Zoltan, Kieran Holland +6
Materials Science · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Magnetic Properties and Applications #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2002.05163
openalex publication_date 2020/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
New results are reported from tests of a low-energy effective field theory\n(EFT) that includes a dilaton field to describe the emergent light scalar with\n 0++ quantum numbers in the strongly coupled near-conformal gauge\ntheory with a massless fermion flavor doublet in the two-index symmetric\n(sextet) representation of the SU(3) color gauge group. In the parlor of\nwalking --- based on the observed light scalar, the small \β-function at\nstrong coupling, and the large anomalous scale dimension of the chiral\ncondensate --- the dilaton EFT hypothesis is introduced to test if it explains\nthe slowly changing nearly scale invariant physics that connects the\nasymptotically free UV fixed point and the far-infrared scale of chiral\nsymmetry breaking. The characteristic dilaton EFT signatures of scale symmetry\nbreaking are probed in this report in the small Compton wavelength limit of\nGoldstone bosons relative to the size of the lattice volume (p-regime) and in\nthe limit when the Goldstone wavelength exceeds the size of the volume\n(\ε-regime). Random matrix theory (RMT) analysis of the dilaton EFT is\napplied to the lowest part of the Dirac spectrum in the \ε-regime to\ndirectly test predictions for the fundamental EFT parameters. The predictions,\nsensitive to the choice of the dilaton potential, were limited before to the\np-regime, using extrapolations from far above the chiral limit with untested\nuncertainties. The dilaton EFT analysis of the \ε-regime was first\nsuggested in citeFodor:2019vmw, with some results presented at this\nconference and with our continued post-conference analysis added to stimulate\ndiscussions.\n