Gravitating bubbles of gluon plasma above deconfinement temperature

Abstract

The equation of state of SU(3) Yang-Mills theory can be modelled by an effective $Z_3-$symmetric potential $V(|\varphi |,{\varphi }^3+{\varphi }^{3\ast },T)$ depending on the temperature $T$ and on a scalar field $\varphi$ -- the averaged Polyakov loop. Allowing $\varphi$ to be dynamical opens the way to the study of spatially localized classical configurations of the Polyakov loop. We first show that spherically symmetric static Q-balls exist in the range $(1-1.21)\times T_c$, $T_c$ being the deconfinement temperature. Then we argue that Q-holes solutions, if any are unphysical within our framework. Finally we couple the Polyakov-loop Lagrangian to Einstein gravity and show that spherically symmetric static boson stars exist in the same range of temperature. The Q-ball and boson star solutions we find can be interpreted as "bubbles" of deconfined gluonic matter; their mean radius is always smaller than 10 fm.

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Cited by in corpus (1)

• $Z_N$-balls: Solitons from $Z_N$-symmetric scalar field theory