The effective action is a quantum-corrected classical action
The effective action serves as the standard theoretical framework in quantum field theory and path integral formulations for incorporating quantum fluctuations and corrections into a classical background or action.
The retrieved literature consistently supports the foundational physics concept that the effective action incorporates quantum corrections to classical systems, whether in black hole thermodynamics, quantum chaos, Josephson junctions, or gravitational theories.
S. Solodukhin. The Conical Singularity And Quantum Corrections To Entropy Of Black Hole. 1994. https://doi.org/10.1103/PhysRevD.51.609
Paper 0 calculates the one-loop matter effective action to determine quantum corrections to classical black hole thermodynamics.
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Chang-sool Choi, Felix M. Haehl, M. Mezei, Gábor Sárosi. Effective description of sub-maximal chaos: stringy effects for SYK scrambling. 2023. https://doi.org/10.1007/JHEP03(2023)142
Paper 1 derives effective actions from path integrals to describe quantum corrections and scramblon modes in chaotic systems.
K. Furutani, J. Tempere, L. Salasnich. Quantum effective action for the bosonic Josephson junction. 2021. https://doi.org/10.1103/PhysRevB.105.134510
Paper 4 derives and analyzes the quantum effective phase action containing quantum corrections for a bosonic Josephson junction.
Zheng Jiang, Jun Nian, Caiying Shao, Yu Tian, Hongbao Zhang. Quantum Gravity Corrections to the Scalar Quasi-Normal Modes in Near-Extremal Reissener-Nordstr\"{o}m Black Holes. 2025. https://doi.org/10.1103/s27b-58gw
Paper 5 uses path integral techniques and effective gravity theories to derive quantum-corrected field equations and corrections to quasi-normal modes.
Gaoping Long, Hongguang Liu, Cong Zhang. The semiclassical propagator for coherent state on twisted geometry. 2024
Paper 7 utilizes an effective action expansion around complex evolution trajectories to provide the semiclassical approximation of quantum propagators.
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