Results 61 to 70 of about 7,155 (201)
General scalar renormalisation group equations at three-loop order
For arbitrary scalar QFTs in four dimensions, renormalisation group equations of quartic and cubic interactions, mass terms, as well as field anomalous dimensions are computed at three-loop order in the MS ¯ $$ \overline{\mathrm{MS}} $$ scheme. Utilising
Tom Steudtner
doaj +1 more source
This study introduces FIRE‐GNN, a force‐informed, relaxed equivariant graph neural network for predicting surface work functions and cleavage energies from slab structures. By incorporating surface‐normal symmetry breaking and machine learning interatomic potential‐derived force information, the approach achieves state‐of‐the‐art accuracy and enables ...
Circe Hsu +5 more
wiley +1 more source
Time-Dependent Real-Space Renormalization Group Method [PDF]
In this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent Hamiltonians. We drive the time-dependent recursion relations for the renormalized tight-binding Hamiltonian by decimating selective ...
doaj
Gradient flows and the curvature of theory space
The metric and potential associated with the gradient property of renormalisation group flow in multiscalar models in d = 4 − ε dimensions are studied. The metric is identified with the Zamolodchikov metric of nearly marginal operators on the sphere.
William H. Pannell, Andreas Stergiou
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Renormalization group in super-renormalizable quantum gravity
One of the main advantages of super-renormalizable higher derivative quantum gravity models is the possibility to derive exact beta functions, by making perturbative one-loop calculations.
Leonardo Modesto +2 more
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Functional renormalization group flow of massive gravity
We apply the functional renormalization group equation to a massive Fierz–Pauli action in curved space and find that, even though a massive term is a modification in the infrared sector, the mass term modifies the value of the non-gaussian fixed point in
Maximiliano Binder, Iván Schmidt
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This review explores the transformative impact of artificial intelligence on multiscale modeling in materials research. It highlights advancements such as machine learning force fields and graph neural networks, which enhance predictive capabilities while reducing computational costs in various applications.
Artem Maevskiy +2 more
wiley +1 more source
General quartic β-function at three loops
We determine the three-loop MS ¯ $$ \overline{\textrm{MS}} $$ quartic β-function for the most general renormalisable four-dimensional theories. A general parametrisation of the β-function is compared to known β-functions for specific theories to fix all ...
Tom Steudtner, Anders Eller Thomsen
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Renormalization group procedure for potential −g/r2
Schrödinger equation with potential −g/r2 exhibits a limit cycle, described in the literature in a broad range of contexts using various regularizations of the singularity at r=0. Instead, we use the renormalization group transformation based on Gaussian
S.M. Dawid +5 more
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Is Deep Learning a Renormalization Group Flow?
Although there has been a rapid development of practical applications, theoretical explanations of deep learning are in their infancy. Deep learning performs a sophisticated coarse graining.
Ellen De Mello Koch +2 more
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