Numerical Study of Metastable Spherical Gluon Plasma Balls in Large-N Gauge Theories via AdS/CFT

In this study, we investigate gluon plasma balls in large-N confining gauge theories, through the lens of their gravity dual in the AdS/CFT correspondence. The unconfined gluon plasma can be represented as an AdS black hole, whereas the confining vacuum corresponds to the AdS soliton. In prior work, Aharony et al. proposed the existence of metastable plasma balls by numerically constructing a planar domain wall solution that interpolates between the plasma phase and the confining phase. Our research extends this work by using the ADM formalism of general relativity to numerically compute an interpolating solution which represents a spherical plasma ball surrounded by a confining vacuum at the deconfinement temperature, where it undergoes a first-order phase transition. Looking forward, we intend to study the thermodynamic properties of the plasma ball, including its energy density, pressure distribution, surface tension, and heat expansion by analyzing the gravitational field data from a dual perspective.