Quantum gravity effects on the thermodynamic stability of 4D Schwarzschild black hole

Quantum gravity effects on the thermodynamic stability of 4D Schwarzschild black hole

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Abstract Based on the Euclidean read more 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 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 cartoon martian with big head 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 N is the number of gauge fields, and is independent of any UV completion of quantum gravity.