Results 41 to 50 of about 12,765,544 (342)
Machine learning holographic mapping by neural network renormalization group [PDF]
Physical Review Research, 2019 The exact holographic mapping (EHM) provides an explicit duality map between a conformal field theory (CFT) configuration and a massive field propagating on an emergent classical geometry. However, designing the optimal holographic mapping is challenging.
Hong-ye Hu +3 more
semanticscholar +1 more source
Anisotropic tensor renormalization group [PDF]
, 2019 We propose a new tensor renormalization group algorithm, Anisotropic Tensor Renormalization Group (ATRG), for lattice models in arbitrary dimensions.
Daiki Adachi, T. Okubo, S. Todo
semanticscholar +1 more source
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
semanticscholar +1 more source
Hard-soft renormalization and the exact renormalization group [PDF]
Nuclear Physics B, 1998 The Wilsonian exact renormalization group gives a natural framework in which ultraviolet and infrared divergences can be treated separately. In massless QED we introduce, as the only mass parameter, a renormalization scale $ _R > 0$. We prove, using the flow equation technique, that infrared convergence is a necessary consequence of any zero ...
Pernici, M., Raciti, M., Riva, F.
openaire +2 more sources
Asymptotic freedom and higher derivative gauge theories
Journal of High Energy Physics, 2021 The ultraviolet completion of gauge theories by higher derivative terms can dramatically change their behavior at high energies. The requirement of asymptotic freedom imposes very stringent constraints that are only satisfied by a small family of higher ...
M. Asorey, F. Falceto, L. Rachwał
doaj +1 more source
Renormalization scheme dependence and renormalization group summation [PDF]
Canadian Journal of Physics, 2018 We consider logarithmic contributions to the free energy, instanton effective action, and Laplace sum rules in QCD that are a consequence of radiative corrections. Upon summing these contributions by using the renormalization group, all dependence on the renormalization scale parameter μ cancels.
Chishtie, F.A., McKeon, D.G.C.
openaire +2 more sources
Towards general scalar-Yukawa renormalisation group equations at three-loop order
Journal of High Energy Physics, 2021 For arbitrary four-dimensional quantum field theories with scalars and fermions, renormalisation group equations in the MS ¯ $$ \overline{\mathrm{MS}} $$ scheme are investigated at three-loop order in perturbation theory.
Tom Steudtner
doaj +1 more source
Quantum Renormalization Group and Holography [PDF]
, 2013 Quantum renormalization group scheme provides a microscopic understanding of holography through a general mapping between the beta functions of underlying quantum field theories and the holographic actions in the bulk.
Lee, Sung-Sik
core +2 more sources
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
semanticscholar +1 more source
Optimization of Renormalization Group Flow [PDF]
, 1999 Renormalization group flow equations for scalar lambda Phi^4 are generated using three classes of smooth smearing functions. Numerical results for the critical exponent nu in three dimensions are calculated by means of a truncated series expansion of the
Alexandre +38 more
core +2 more sources