Latent heat and pressure gap at the first-order deconfining phase transition of SU(3) Yang–Mills theory using the small flow-time expansion method
Mizuki Shirogane (Graduate School of Science and Technology, Niigata University, , Niigata 950-2181, Japan); Shinji Ejiri (Department of Physics, Niigata University, , Niigata 950-2181, Japan); Ryo Iwami (Track Maintenance of Shinkansen, Rail Maintenance 1st Department, East Japan Railway Company Niigata Branch, , Niigata 950-0086, Japan); Kazuyuki Kanaya (Tomonaga Center for the History of the Universe, University of Tsukuba, , Tsukuba, Ibaraki 305-8571, Japan); Masakiyo Kitazawa (Department of Physics, Osaka University, , Toyonaka, Osaka 560-0043, Japan); et al - Show all 8 authors
Abstract We study latent heat and the pressure gap between the hot and cold phases at the first-order deconfining phase transition temperature of the SU(3) Yang–Mills theory. Performing simulations on lattices with various spatial volumes and lattice spacings, we calculate the gaps of the energy density and pressure using the small flow-time expansion (SFX) method. We find that the latent heat in the continuum limit is for the aspect ratio and for at the transition temperature . We also confirm that the pressure gap is consistent with zero, as expected from the dynamical balance of two phases at . From hysteresis curves of the energy density near , we show that the energy density in the (metastable) deconfined phase is sensitive to the spatial volume, while that in the confined phase is insensitive. Furthermore, we examine the effect of alternative procedures in the SFX method—the order of the continuum and the vanishing flow-time extrapolations, and also the renormalization scale and higher-order corrections in the matching coefficients. We confirm that the final results are all very consistent with each other for these alternatives.
