Critical behaviors of gravity under quantum perturbations

TL;DR

This paper investigates how quantum perturbations affect the critical behavior of gravitational systems, revealing that certain critical exponents remain unchanged, highlighting a fundamental difference from ordinary thermodynamic systems.

Contribution

It demonstrates that quantum perturbations do not alter the critical exponents of RN-AdS spacetime, indicating a unique aspect of gravitational critical phenomena.

Findings

Critical exponents for RN-AdS spacetime are unaffected by quantum perturbations.

Gravity exhibits distinct critical behavior compared to ordinary thermodynamic systems.

Quantum effects do not modify the universality class of gravitational phase transitions.

Abstract

Phase transition and critical phenomenon is a very interesting topic in thermodynamics and statistical mechanics. Gravity is believed to has deep and inherent relation to thermodynamics. Near the critical point, the perturbation becomes significant. Thus for ordinary matter (govern by interactions besides gravity) the critical behavior will become very different if we ignore the perturbations around the critical point, such as mean field theory. We find that the critical exponents for RN-AdS spacetime keeps the same values even we consider the full quantum perturbations. This indicates a key difference between gravity and ordinary thermodynamic system.