2010/10/31 by Jens Langelage, Stefano Lottini, Owe Philipsen · 1 citation
Mathematics · Physics and Astronomy · #BETA (programming language) #Coupling (piping) #Deconfinement #Gauge theory #High-Energy Particle Collisions Research #Ising model #Lattice (music) #Materials science #Mathematical physics #Mathematics #Monte Carlo method #Order (exchange) #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Series (stratigraphy) #Statistical physics #Theoretical and Computational Physics #Yang–Mills theory #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1007/jhep02(2011)057
published as JHEP 1102:057,2011 · 27 pages, 21 figures; final version published in JHEP; attached the corresponding Erratum (ref. JHEP 1107:014,2011, DOI 10.1007/JHEP07(2011)014) for ease of consultation
openalex publication_date 2011/02/01 · arxiv created 2011/11/10 · arxiv updated 2011/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We derive three-dimensional, Z(N)-symmetric effective actions in terms of Polyakov loops by means of strong coupling expansions, starting from thermal SU(N) Yang-Mills theory in four dimensions on the lattice. An earlier action in the literature, corresponding to the (spatial) strong coupling limit, is thus extended by several higher orders, as well as by additional interaction terms. We provide analytic mappings between the couplings of the effective theory and the parameters Nτ,β of the original thermal lattice theory, which can be systematically improved. We then investigate the deconfinement transition for the cases SU(2) and SU(3) by means of Monte Carlo simulations of the effective theory. Our effective models correctly reproduce second order 3d Ising and first order phase transitions, respectively. Furthermore, we calculate the critical couplings βc(Nτ) and find agreement with results from simulations of the 4d theory at the few percent level for Nτ=4-16.