Scaling functions for O(4) in three dimensions

Abstract

Monte Carlo simulation using a cluster algorithm is used to compute the scaling part of the free energy for a three dimensional O(4) spin model. The results are relevant for analysis of lattice studies of high temperature QCD.

12 pages, 6 figures, uses epsf.sty

References in corpus (7)

• Static and Dynamic Critical Phenomena at a Second Order QCD Phase Transition
• Susceptibilities, the Specific Heat and a Cumulant in Two-Flavour QCD
• Critical exponents of a three dimensional O(4) spin model
• The beta function and equation of state for QCD with two flavors of quarks
• Can Sigma Models Describe Finite Temperature Chiral Transitions?
• New extended high temperature series for the N-vector spin models on three-dimensional bipartite lattices
• Two-Flavor Staggered Fermion Thermodynamics at N_t = 12

Cited by in corpus (30)

• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• The chiral and deconfinement aspects of the QCD transition
• The universality class of the electroweak theory
• On the magnetic equation of state in (2+1)-flavor QCD
• Phase structure and critical temperature of two-flavor QCD with a renormalization group improved gauge action and clover improved Wilson quark action
• Lattice QCD at non-zero temperature
• Two flavor chiral phase transition from nonperturbative flow equations
• QCD Critical Point and Complex Chemical Potential Singularities
• The equation of state for two flavor QCD at N_t=6
• On the scaling behavior of the chiral phase transition in QCD in finite and infinite volume
• Goldstone-mode effects and scaling function for the three-dimensional O(4) model
• The scaling functions of the free energy density and its derivatives for the 3d O(4) model
• Finite-size-scaling functions for 3d O(4) and O(2) spin models and QCD
• Scaling and Goldstone effects in a QCD with two flavours of adjoint quarks
• Equation of state and Goldstone-mode effects of the three-dimensional O(2) model
• The thermal QCD transition with two flavours of twisted mass fermions
• Critical Behavior in Nt = 4 Staggered Fermion Thermodynamics
• Correlation lengths and scaling functions in the three-dimensional O(4) model
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Numerical equation of state and other scaling functions from an improved three-dimensional Ising model
• The 3-D O(4) universality class and the phase transition in two-flavor QCD
• Dynamics of the $O(4)$ critical point in QCD
• Scaling functions for the O(4)-model in d=3 dimensions
• Critical behaviors of the $O(4)$ and $Z(2)$ symmetries in the QCD phase diagram
• Scaling behaviour at the $N_t=6$ chiral phase transition for 2-flavour lattice QCD with massless staggered quarks, and an irrelevant 4-fermion interaction
• QCD thermodynamics on the lattice
• The Thermal Renormalization Group for Fermions, Universality, and the Chiral Phase-Transition
• Numerical study of hot strongly interacting matter
• Critical Behavior at the Chiral Phase Transition
• A New Order Parameter for the Higgs Transition in $SU(2)$-Higgs Theory