θdependence of the vacuum energy in SU(3) gauge theory from the lattice

2007/05/16 by Leonardo Giusti, S. Petrarca, Silvano Petrarca +2 · 1 citation
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Charge (physics) #Combinatorics #Computation #Fermion #Gauge theory #Gaussian #Instanton #Lattice (music) #Lattice gauge theory #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Topology (electrical circuits) #hep-lat #hep-th

paper · pdf · doi:10.1103/physrevd.76.094510

published as Phys.Rev.D76:094510,2007 · Plain latex, 4 pages, 2 figures

arxiv created 2007/05/16 · openalex publication_date 2007/11/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We report on a precise computation of the topological charge distribution in the SU(3) Yang-Mills theory. It is carried out on the lattice with high statistics Monte Carlo simulations by employing the definition of the topological charge suggested by Neuberger's fermions. We observe significant deviations from a Gaussian distribution. Our results disfavor the \ensuremathθ behavior of the vacuum energy predicted by dilute instanton models, while they are compatible with the expectation from the large N_c expansion.

Citations

• Pseudoparticle solutions of the Yang-Mills equations
• Topological susceptibility in full QCD with Ginsparg–Wilson fermions
• Glueball spectrum and matrix elements on anisotropic lattices

Cited by

• Strongly coupled quintessence