Scale and confinement phase transitions in scale invariant $SU(N)$ scalar gauge theory

Abstract

We consider scalegenesis, spontaneous scale symmetry breaking, by the scalar-bilinear condensation in $SU(N)$ scalar gauge theory. In an effective field theory approach to the scalar-bilinear condensation at finite temperature, we include the Polyakov loop to take into account the confinement effect. The theory with $N=3,4,5$ and $6$ is investigated, and we find that in all these cases the scale phase transition is a first-order phase transition. We also calculate the latent heat at and slightly below the critical temperature. Comparing the results with those obtained without the Polyakov loop effect, we find that the Polyakov effect can considerably increase the latent heat in some cases, which would mean a large increase in the energy density of the gravitational waves background, if it were produced by the scale phase transition.

20 pages, 15 figures, Version published in JHEP

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Cited by in corpus (7)

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• Dark Confinement-Deconfinement Phase Transition: A Roadmap from Polyakov Loop Models to Gravitational Waves
• Scalegenesis and fermionic dark matters in the flatland scenario
• Dark Matter from Dark Glueball Dominance
• Enhanced diHiggs signal from hidden scalar QCD at leading-order scale-symmetry limit
• Massive Gauge Theory with Quasigluon for Hot $SU(N)$: Phase Transition and Thermodynamics