Quenched mesonic spectrum at largeN

2007/12/31 by Luigi Del Debbio, Biagio Lucini, Agostino Patella +1 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Function (biology) #Gauge theory #Lattice (music) #Lattice QCD #Lattice gauge theory #Mathematical physics #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Quenched approximation #Spectrum (functional analysis) #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1088/1126-6708/2008/03/062

published as JHEP 0803:062,2008 · Reference added; typos corrected; version to appear on JHEP

arxiv created 2008/03/16 · openalex publication_date 2008/03/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We compute the masses of the π and of the ρ mesons in the quenched approximation on a lattice with fixed lattice spacing a ≃ 0.145 fm for SU(N) gauge theory with N = 2,3,4,6. We find that a simple linear expression in 1/N² correctly captures the features of the lowest-lying meson states at those values of N. This enables us to extrapolate to N = ∞ the behaviour of m_π as a function of the quark mass and of m_ρ as a function of m_π. Our results for the latter agree within 5% with recent predictions obtained in the AdS/CFT framework.

Citations

• Topology of SU(N) gauge theories at T≃0 and T≃Tc
• Scaling of nonperturbativelyO(a)<mml:mn/>-improved Wilson fermions: Hadron spectrum, quark masses, and decay constants
• Fitting correlated data
• MANY MASSES ON ONE STROKE: ECONOMIC COMPUTATION OF QUARK PROPAGATORS
• A planar diagram theory for strong interactions
• Practical all-to-all propagators for lattice QCD
• The large N limit of superconformal field theories and supergravity

Cited by

• Resonant scattering in two-flavored Sp(4) lattice gauge theories
• Lattice study of planar equivalence: The quark condensate
• Holographic mesons in D4/D6 model revisited

Related

• Meson spectrum in the large N limit
• Light Quarks at Large N
• The meson spectrum of large N gauge theories
• Unquenching the meson spectrum: a model study of excited ρ resonances
• Mesons in the quenched approximation at low temperature