Results 51 to 60 of about 326,761 (366)
Lecture notes on holographic renormalization [PDF]
Classical and quantum gravity, 2002 We review the formalism of holographic renormalization. We start by discussing mathematical results on asymptotically anti-de Sitter (AdS) spacetimes. We then outline the general method of holographic renormalization. The method is illustrated by working
Kostas Skenderis
semanticscholar +1 more source
Communications in Mathematical Physics, 2017 31 pages, LaTeX, 5 figures, anomaly formula generalized to any bulk geometry, improved discussion of hypersurfaces with ...
A. Rod Gover, Andrew Waldron
openaire +3 more sources
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 ...
M. Pernici, M. Raciti, F. Riva
openaire +3 more sources
From bottom-up approaches to levels of organization and extended critical transitions
Frontiers in Physiology, 2012 Biological thinking is structured by the notion of level of organization. We will show that this notion acquires a precise meaning in critical phenomena: they disrupt, by the appearance of infinite quantities, the mathematical (possibly equational ...
Giuseppe eLongo +6 more
doaj +1 more source
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
Rays to renormalizations [PDF]
Bulletin of the Polish Academy of Sciences Mathematics, 2020 Let P be a non-linear polynomial, K_P the filled Julia set of P, f a renormalization of P and K_f the filled Julia set of f. We show, loosely speaking, that there is a finite-to-one function from the set of P-external rays having limit points in K_f onto the set of f-external rays to K_f such that R and (R) share the same limit set.
openaire +2 more sources
The full renormalization horseshoe for multimodal maps [PDF]
arXiv, 2021 In this paper, we consider the renormalization operator $\mathcal R$ for multimodal maps. We prove the renormalization operator $\mathcal R$ is a self-homeomorphism on any totally $\mathcal R$-invariant set. As a corollary, we prove the existence of the full renormalization horseshoe for multimodal maps.
arxiv
Renormalization of Gauge Theories
Quantum Field Theory, 2018 : This is an account of the author’s recollections of the turbulent days preceding the establishment of the Standard Model as an accurate description of all known elementary particles and forces.
L. Faddeev, A. Slavnov
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
Holographic renormalization and supersymmetry [PDF]
Journal of High Energy Physics, 2017 70 pages; corrected ...
Genolini P. B. +3 more
openaire +8 more sources