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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
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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 4 Pith papers

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  1. Off-shell Hessian thermodynamic stability of higher-curvature black holes

    gr-qc 2026-06 unverdicted novelty 6.0 of 10

    An off-shell Hessian criterion H = S'_W(r_h) T'(r_h) governs thermodynamic stability of higher-curvature black holes, recovering the temperature-slope rule on physical branches and producing mean-field critical exponents.

  2. Topological perspective on bulk boundary thermodynamic equivalence

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    A two-central-charge CFT dictionary reproduces the extended first law, critical point, and topological charges of the 5D charged Gauss-Bonnet AdS black hole.

  3. Probing phase transitions of regular black holes in anti-de Sitter space with Lyapunov exponent

    gr-qc 2025-10 conditional novelty 5.0 of 10

    For charged regular AdS black holes in quasi-topological gravity, the null-geodesic Lyapunov exponent jumps at the first-order phase transition and its phase difference vanishes at the critical point with exponent 1/2...

  4. Chaotic Imprints in Gravitational Waves from Conformal-Anomaly-Corrected Extreme-Mass-Ratio Inspirals

    gr-qc 2026-07 reject novelty 4.0 of 10

    Gravitational-wave imprints are computed for trapped orbits in a conformal-anomaly-corrected black hole spacetime, but the chaotic motion is produced by an external harmonic potential rather than the anomaly itself.

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