The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: Zero temperature calibrations and numerical framework

2009/07/31 by Olivier Wantz · 4 citations
Mathematics · Physics and Astronomy · #Axion #Black Holes and Theoretical Physics #Charge (physics) #Instanton #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Topological quantum number #Topology (electrical circuits) #hep-lat #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2009.12.007

published in Nuclear Physics B 829(1-2), 48-90 (Elsevier BV) · 52 pages, 21 figures. As accepted by Nucl.Phys.B

openalex publication_date 2009/12/17 · arxiv created 2010/01/14 · arxiv updated 2010/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

This is the first in a series of papers which ultimately aims on improving on the present estimates on the axion mass by modeling the topological non-perturbative QCD dynamics. Axions couple to instantons and their mass is set by the topological susceptibility whose temperature dependence we estimate with the interacting instanton liquid model (IILM). Since accurate finite temperature instanton calculations have problems and do not consider fluctuations in the topological charge, we develop an improved grand canonical version of the IILM to study topological fluctuations in the quark gluon plasma. In this first paper we will calibrate the model against the topological susceptibility at zero temperature, in the chiral regime of physical quark masses.

Citations

• Review of Particle Physics
• Chiral phase transition and Anderson localization in the instanton liquid model for QCD
• Confinement from merons
• The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: Strongly associating fluids and biased Monte Carlo
• Pseudoparticle solutions of the Yang-Mills equations
• The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: Chiral phase transition and axion mass
• Quantitative comparison of filtering methods in lattice QCD
• Periodic Euclidean solutions and the finite-temperature Yang-Mills gas
• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)

Cited by

• The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: Chiral phase transition and axion mass
• The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: Strongly associating fluids and biased Monte Carlo
• Axion dark matter from topological defects