Mutual information, neural networks and the renormalization group [PDF]
Nature Physics, 2017 Physical systems differing in their microscopic details often display strikingly similar behaviour when probed at macroscopic scales. Those universal properties, largely determining their physical characteristics, are revealed by the powerful ...
M. Koch-Janusz, Z. Ringel
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B physics beyond the Standard Model at one loop: complete renormalization group evolution below the electroweak scale [PDF]
Journal of High Energy Physics, 2017 General analyses of B-physics processes beyond the Standard Model require accounting for operator mixing in the renormalization-group evolution from the matching scale down to the typical scale of B physics.
Jason Aebischer +3 more
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Scale-invariant Feature Extraction of Neural Network and Renormalization Group Flow [PDF]
Physical Review E, 2018 Theoretical understanding of how a deep neural network (DNN) extracts features from input images is still unclear, but it is widely believed that the extraction is performed hierarchically through a process of coarse graining.
S. Iso, Shotaro Shiba, Sumito Yokoo
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Renormalization group approach to spontaneous stochasticity
Physical Review Research, 2020 We develop a theoretical approach to “spontaneous stochasticity” in classical dynamical systems that are nearly singular and weakly perturbed by noise. This phenomenon is associated with a breakdown in the uniqueness of solutions for fixed initial data ...
Gregory L. Eyink, Dmytro Bandak
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Renormalization Group in Non-Relativistic Quantum Statistics [PDF]
EPJ Web of Conferences, 2020 Dynamic behaviour of a boson gas near the condensation transition in the symmetric phase is analyzed with the use of an effective large-scale model derived from time-dependent Green functions at finite temperature.
Honkonen Juha +4 more
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Renormalization group fixed points of foliated gravity-matter systems [PDF]
Journal of High Energy Physics, 2017 We employ the Arnowitt-Deser-Misner formalism to study the renormalization group flow of gravity minimally coupled to an arbitrary number of scalar, vector, and Dirac fields. The decomposition of the gravitational degrees of freedom into a lapse function,
J. Biemans +2 more
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Renormalization group theory of earthquakes [PDF]
Nonlinear Processes in Geophysics, 1996 We study theoretically the physical origin of the proposed discrete scale invariance of earthquake processes, at the origin of the universal log-periodic corrections to scaling, recently discovered in regional seismic activity ...
H. Saleur +3 more
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Renormalization Group evolution from on-shell SMEFT
Journal of High Energy Physics, 2021 We describe the on-shell method to derive the Renormalization Group (RG) evolution of Wilson coefficients of high dimensional operators at one loop, which is a necessary part in the on-shell construction of the Standard Model Effective Field Theory ...
Minyuan Jiang, Teng Ma, Jing Shu
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Critical phenomena and functional renormalization group
He jishu, 2023 Recent progress in studies on quantum chromodynamics (QCD) phase transition and related critical phenomena within the functional renormalization group (fRG) approach were reviewed, including the nonperturbative critical exponents and baryon number ...
YIN Shi, TAN Yangyang, FU Weijie
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Novel demonstration of the renormalization group invariance of the fixed-order predictions using the principle of maximum conformality and the C -scheme coupling [PDF]
Physical Review D, 2018 As a basic requirement of the renormalization group invariance, any physical observable must be independent of the choice of both the renormalization scheme and the initial renormalization scale.
Xing-Gang Wu +3 more
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