Results 31 to 40 of about 101,340 (244)
International Journal of Modern Physics D, 2018 We propose that the consistent field renormalization of gravity requires a specific Weyl transformation of the metric tensor. As a consequence, proper length and time, as well as energy and momentum, become functions of scale. We estimate the functional form of the field renormalization factor by imposing a minimum resolvable distance scale under an ...
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Neural Network Renormalization Group [PDF]
Physical Review Letters, 2018 We present a variational renormalization group (RG) approach based on a reversible generative model with hierarchical architecture. The model performs hierarchical change-of-variables transformations from the physical space to a latent space with reduced
Shuo-Hui Li, Lei Wang
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Renormalization of Galilean electrodynamics [PDF]
Journal of High Energy Physics, 2020 AbstractWe study the quantum properties of a Galilean-invariant abelian gauge theory coupled to a Schrödinger scalar in 2+1 dimensions. At the classical level, the theory with minimal coupling is obtained from a null-reduction of relativistic Maxwell theory coupled to a complex scalar field in 3+1 dimensions and is closely related to the Galilean ...
Shira Chapman +3 more
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Renormalization and non-renormalization of scalar EFTs at higher orders [PDF]
Journal of High Energy Physics, 2021 Abstract We renormalize massless scalar effective field theories (EFTs) to higher loop orders and higher orders in the EFT expansion. To facilitate EFT calculations with the R* renormalization method, we construct suitable operator bases using Hilbert series and related ideas in commutative algebra and conformal representation ...
Weiguang Cao +4 more
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Mathematics, 2019 This work is on the nature and properties of graphs which arise in the study of centered polygonal lacunary functions. Such graphs carry both graph-theoretic properties and properties related to the so-called p-sequences found in the study of centered ...
Keith Sullivan +2 more
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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
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Vacuum Interaction of Crossed Cosmic Strings
Universe, 2021 In this paper, we consider the vacuum energy of a scalar field in the spacetime of two non-parallel cosmic strings. To this end, we obtain metrics for orthogonal straight cosmic strings and for slightly nonparallel strings.
Irina G. Pirozhenko
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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
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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
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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
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