Quantum Correction to Hawking Temperature and Thermodynamics of Schwarzschild AdS black holes

We study the quantum corrections to the four-dimensional Schwarzschild Anti de Sitter black hole using effective field theory approach. We compute the quantum correction to Hawking temperature upto order $\mathcal{O}(G^2)$ for a Schwarzschild AdS black hole when the emitted object is massless and massive. We use the expression of the modified horizon radius to compute the quantum corrected entropy upto order $\mathcal{O}(G^2)$. Finally we compute quantum corrected thermodynamic parameters specific heat, free energy and pressure.