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Renormalization in Quantum Brain Dynamics

open access: yesAppliedMath, 2023
We show renormalization in Quantum Brain Dynamics (QBD) in 3+1 dimensions, namely Quantum Electrodynamics with water rotational dipole fields. First, we introduce the Lagrangian density for QBD involving terms of water rotational dipole fields, photon ...
Akihiro Nishiyama   +2 more
doaj   +1 more source

The density-matrix renormalization group [PDF]

open access: yes, 2004
The density-matrix renormalization group (DMRG) is a numerical algorithm for the efficient truncation of the Hilbert space of low-dimensional strongly correlated quantum systems based on a rather general decimation prescription.
U. Schollwoeck
semanticscholar   +1 more source

Jackson R. Herring and the Statistical Closure Problem of Turbulence: A Review of Renormalized Perturbation Theories

open access: yesAtmosphere, 2023
The pioneering applications of the methods of theoretical physics to the turbulence statistical closure problem are summarised. These are: the direct-interaction approximation (DIA) of Kraichnan, the self-consistent-field theory of Edwards, and the self ...
David McComb
doaj   +1 more source

Renormalization of the two-dimensional stochastic nonlinear wave equations [PDF]

open access: yesTransactions of the American Mathematical Society, 2017
We study the two-dimensional stochastic nonlinear wave equations (SNLW) with an additive space-time white noise forcing. In particular, we introduce a time-dependent renormalization and prove that SNLW is pathwise locally well-posed. As an application of
Massimiliano Gubinelli   +2 more
semanticscholar   +1 more source

Multiscale unfolding of real networks by geometric renormalization [PDF]

open access: yesNature Physics, 2017
Symmetries in physical theories denote invariance under some transformation, such as self-similarity under a change of scale. The renormalization group provides a powerful framework to study these symmetries, leading to a better understanding of the ...
Guillermo García-Pérez   +2 more
semanticscholar   +1 more source

Renormalizing an initial state [PDF]

open access: yesJournal of High Energy Physics, 2014
15 pages, no ...
Collins, Hael   +2 more
openaire   +4 more sources

A spatially periodic Kuramoto-Sivashinsky equation as a model problem for inclined film flow over wavy bottom

open access: yesElectronic Journal of Differential Equations, 2007
The spatially periodic Kuramoto-Sivashinsky equation (pKS) $$ partial_t u=-partial_x^4 u-c_3partial_x^3 u-c_2partial_x^2 u+2 deltapartial_x(cos( x)u)-partial_x(u^2), $$ with $u(t,x)inmathbb{R}$, $tgeq 0$, $xinmathbb{R}$, is a model problem for inclined ...
Andreas Wierschem, Hannes Uecker
doaj  

Vacuum Polarization in a Zero-Width Potential: Self-Adjoint Extension

open access: yesUniverse, 2021
The effects of vacuum polarization associated with a massless scalar field near pointlike source with a zero-range potential in three spatial dimensions are analyzed.
Yuri V. Grats, Pavel Spirin
doaj   +1 more source

Renormalizability of Alternative Theories of Gravity: Differences between Power Counting and Entropy Argument

open access: yesUniverse, 2021
It is well known that General Relativity cannot be considered under the standard of a perturbatively renormalizable quantum field theory, but asymptotic safety is taken into account as a possibility for the formulation of gravity as a non-perturbative ...
Francesco Bajardi   +2 more
doaj   +1 more source

Perturbative renormalization of quasi-parton distribution functions [PDF]

open access: yes, 2017
In this paper we present results for the renormalization of gauge invariant nonlocal fermion operators which contain a Wilson line, to one-loop level in lattice perturbation theory.
M. Constantinou, H. Panagopoulos
semanticscholar   +1 more source

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