Title: Quantum gravity corrections to the thermodynamics and phase transition of Schwarzschild black hole,
Abstract: In this work, we derive a new kind of rainbow functions, which has
generalized uncertainty principle parameter. Then, we investigate modified
thermodynamic quantities and phase transition of rainbow Schwarzschild black
hole by employing this new kind of rainbow functions. Our results demonstrate
that the effect of rainbow gravity and generalized uncertainty principle have a
great effect on the picture of Hawking radiation. It prevents black holes from
total evaporation and causes the remnant. In addition, after analyzing the the
modified local thermodynamic quantities, we find that effect of rainbow gravity
and generalized uncertainty principle lead to one first-order phase transition,
two second-order phase transitions, and two Hawking-Page-type phase transitions
in the thermodynamic system of rainbow Schwarzschild black hole.