%0 Journal Article %T Thermodynamic Geometry of Yang¨CMills Vacua %J Universe | An Open Access Journal from MDPI %D 2019 %R https://doi.org/10.3390/universe5040090 %X We study vacuum fluctuation properties of an ensemble of S U ( N ) gauge theory configurations, in the limit of many colors, viz. N c ¡ú ¡Þ , and explore the statistical nature of the topological susceptibility by analyzing its critical behavior at a non-zero-vacuum parameter ¦È and temperature T. We find that the system undergoes a vacuum phase transition at the chiral symmetry restoration temperature as well as at an absolute value of ¦È . On the other hand, the long-range correlation length solely depends on ¦È for the theories with critical exponent e = 2 or T = T d + 1 , where T d is the decoherence temperature. Furthermore, it is worth noticing that the unit-critical exponent vacuum configuration corresponds to a non-interacting statistical basis pertaining to a constant mass of ¦Ç ¡ä . View Full-Tex %U https://www.mdpi.com/2218-1997/5/4/90