Abstract Based on the Euclidean approach, we consider the effects of quantum gravity and mass-less matter on the thermodynamic properties of Schwarzschild black hole.The techniques of effective field theory are utilized to analytically construct the rme ufx iii partition function at the one-loop level.Using the non-local heat kernel formalism, the partition function is expressed as a curvature expansion.We extensively discuss the effect of the corrections on the thermodynamic stability.
The one-loop free energy shows, remarkably, that a large number of gauge fields is able to render Schwarzschild black hole thermodynamically stable.The black hole mass at which stability is achieved scales as N $$ sqrt{N} $$ in Planck units, where blue square tablecloth N is the number of gauge fields, and is independent of any UV completion of quantum gravity.