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Main Authors: Hu, Ya-Peng, An, Yu-Sen, Sun, Gao-Yong, You, Wen-Long, Shi, Da-Ning, Zhang, Hongsheng, Chen, Xiaosong, Cai, Rong-Gen
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2410.23783
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author Hu, Ya-Peng
An, Yu-Sen
Sun, Gao-Yong
You, Wen-Long
Shi, Da-Ning
Zhang, Hongsheng
Chen, Xiaosong
Cai, Rong-Gen
author_facet Hu, Ya-Peng
An, Yu-Sen
Sun, Gao-Yong
You, Wen-Long
Shi, Da-Ning
Zhang, Hongsheng
Chen, Xiaosong
Cai, Rong-Gen
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2410_23783
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum anomaly triggers the violation of scaling laws in gravitational system
Hu, Ya-Peng
An, Yu-Sen
Sun, Gao-Yong
You, Wen-Long
Shi, Da-Ning
Zhang, Hongsheng
Chen, Xiaosong
Cai, Rong-Gen
General Relativity and Quantum Cosmology
Statistical Mechanics
High Energy Physics - Theory
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.
title Quantum anomaly triggers the violation of scaling laws in gravitational system
topic General Relativity and Quantum Cosmology
Statistical Mechanics
High Energy Physics - Theory
url https://arxiv.org/abs/2410.23783