2019/12/03 by Jangho Kim, Anh Pham, Kim, Jangho +5 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Quantum Chromodynamics and Particle Interactions #Scientific Research and Discoveries #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1912.01705
openalex publication_date 2019/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The high temperature expansion is an analytical tool to study critical phenomena in statistical mechanics. We apply this method to 3d effective theories of Polyakov loops, which have been derived from 4d lattice Yang-Mills by means of resummed strong coupling expansions. In particular, the Polyakov loop susceptibility is computed as a power series in the effective couplings. A Padé analysis then provides the location of the phase transition in the effective theory, which can be mapped back to the parameters of 4d Yang-Mills. Our purely analytical results for the critical couplings βc(Nτ) agree to better than 10% with those from Monte Carlo simulations. For the case of SU(2), also the critical exponent γ is predicted accurately, while a first-order nature as for SU(3) cannot be identified by a Padé analysis. The method can be generalized to include fermions and finite density.