Deconfining and Chiral Phase Transitions in Quantum Chromodynamics at Finite Temperature

We give further arguments to support the claim of Svetitsky and Yaffe that the finite-temperature transition in 4-dimensional SU( N ) gauge theories is in the universality class of 3-dimensional Z N spin models. We show that this implies a smoothing out of the transition when quarks are added to the system as long as N ≠ 3. For N = 3 the pure gauge transition is expected to be first order and will be smoothed by quarks only if the quark contribution to the internal energy is larger than the latent heat of transition.

QUANTUM CHROMODYNAMICS: FINITE TEMPERATURE
GAUGE FIELD THEORY: SU(N)
FIELD THEORY: CRITICAL PHENOMENA
FIELD THEORY: FOUR-DIMENSIONAL
GAUGE FIELD THEORY: SU(3)
QUARK: CONFINEMENT
STATISTICAL MECHANICS: THREE-DIMENSIONAL
SYMMETRY BREAKING: CHIRAL
MODEL: HIGGS
LATTICE FIELD THEORY: HAMILTONIAN FORMALISM

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