2015/12/31 by Claudio Bonati, Massimo D’Elia, Massimo D'Elia +1
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Combinatorics #Energy (signal processing) #Mathematics #Order (exchange) #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Statistics #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.93.025028
published as Phys. Rev. D 93, 025028 (2016) · 10 pages, 9 eps figures (minor changes)
arxiv created 2016/01/27 · openalex publication_date 2016/01/27 · arxiv updated 2016/01/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate the topological properties of the SU(3) pure gauge theory by performing numerical simulations at imaginary values of the \ensuremathθ parameter. By monitoring the dependence of various cumulants of the topological charge distribution on the imaginary part of \ensuremathθ and exploiting analytic continuation, we determine the free energy density up to the sixth order in \ensuremathθ, f(\ensuremathθ,T)=f(0,T)+(1)/(2)\ensuremathχ(T)\ensuremathθ2(1+\phantom\rule0ex0exb2(T)\ensuremathθ2+b4(T)\ensuremathθ4+O(\ensuremathθ6)). That permits us to achieve determinations with improved accuracy, in particular for the higher-order terms, with control over the continuum and the infinite-volume extrapolations. We obtain b2=\ensuremath-0.0216(15) and |b4|\ensuremath\lesssim4\ifmmode×\else\texttimes\fi10^\ensuremath-4.