Thermodynamics in a quantum corrected Reissner–Nordstr?m–AdS black hole and its GUP-corrections

We calculate the thermodynamic quantities in the quantum corrected Reissner–Nordstr?m–AdS(RN-AdS) black hole,and examine their quantum corrections. By analyzing the mass and heat capacity, we give the critical state and the remnant state, respectively, and discuss their consistency. Then, we investigate the quantum tunneling from the event horizon of massless scalar particle by using the null geodesic method, and charged massive boson W~± and fermions by using the Hamilton–Jacob method. It is shown that the same Hawking temperature can be obtained from these tunneling processes of different particles and methods. Next, by using the generalized uncertainty principle(GUP), we study the quantum corrections to the tunneling and the temperature. Then the logarithmic correction to the black hole entropy is obtained.