2013/01/31 by Claudio Bonati, Massimo D’Elia, Massimo D'Elia +3 · 1 citation
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Combinatorics #Computer science #Condensed matter physics #Deconfinement #Energy (signal processing) #Geometry #Instanton #Lattice (music) #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scaling #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevlett.110.252003
published as Phys. Rev. Lett. 110 (2013) 252003 · 6 pages, final version with a few more refs
openalex publication_date 2013/06/18 · arxiv created 2013/06/20 · arxiv updated 2013/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the dependence of 4D SU(N) gauge theories on the topological \ensuremathθ term at finite temperature T. We exploit the lattice formulation of the theory, presenting numerical results for the expansion of the free energy up to O(\ensuremathθ6), for N=3 and N=6. Our analysis shows that the \ensuremathθ dependence drastically changes across the deconfinement transition: the low-T phase is characterized by a large-N scaling with \ensuremathθ/N as relevant variable, while in the high-T phase the scaling variable is just \ensuremathθ and the free energy is essentially determined by the instanton-gas approximation.