2023/03/07 by Stefan Floerchinger, Floerchinger, Stefan
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Applications #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2303.04082
openalex publication_date 2023/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
An exact functional renormalization group flow equation is derived for the divergence functional which is a generalization of the Kullback-Leibler divergence to quantum field theories in the Euclidean domain. It compares distributions with different sources and field expectation values. The renormalization group flow for a regularized version of this functional connects two limits: one where the functional is known in terms of the microscopic action or probability distribution, and the other where all fluctuations are taken into account. In the latter limit one can obtain full correlation functions from functional derivatives of the divergence functional. The flow equation provides a possiblity to determine this functional non-perturbatively.