Quantum anomaly triggers the violation of scaling laws in gravitational system
Abstract
Scaling laws for critical phenomena take pivotal status in almost all branches of physics. However, as scaling laws are commonly guaranteed by the renormalization group theory, systems that violate them have rarely been found. In this letter, we demonstrate that gravitational system can break scaling laws. We derive this result through investigating phase transition and critical phenomenon in a gravitational system with quantum anomaly. For the first time, we outline the key conditions to violate the scaling laws in generic gravitational system viewed from the equation of state . Our results indicate that quantum effects can magnify the distinctiveness of gravity, which may be significant to understand the microscopic structure of spacetime.
Keywords
Cite
@article{arxiv.2410.23783,
title = {Quantum anomaly triggers the violation of scaling laws in gravitational system},
author = {Ya-Peng Hu and Yu-Sen An and Gao-Yong Sun and Wen-Long You and Da-Ning Shi and Hongsheng Zhang and Xiaosong Chen and Rong-Gen Cai},
journal= {arXiv preprint arXiv:2410.23783},
year = {2025}
}
Comments
9 pages, 5 figures, one supplemental material added to give a physical interpretation of condition a11=0 viewed from Gibbs free energy landscape