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Quantum anomaly triggers the violation of scaling laws in gravitational system

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arxiv 2410.23783 v2 pith:W3GEZYJH submitted 2024-10-31 gr-qc cond-mat.stat-mechhep-th

Ya-Peng Hu , Yu-Sen An , Gao-Yong Sun , Wen-Long You , Da-Ning Shi , Hongsheng Zhang , Xiaosong Chen , Rong-Gen Cai This is my paper
classification gr-qccond-mat.stat-mechhep-th
keywords lawsscalinggravitationalsystemquantumanomalycriticalviolate
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $P=P(T,V)$. Our results indicate that quantum effects can magnify the distinctiveness of gravity, which may be significant to understand the microscopic structure of spacetime.

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Cited by 5 Pith papers

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