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The problem of reconstructing functions from their asymptotic expansions in powers of a small variable is addressed by deriving a novel type of approximants. The derivation is based on the self-similar approximation theory, which presents…

Statistical Mechanics · Physics 2009-11-07 S. Gluzman , V. I. Yukalov , D. Sornette

Strong coupling of plasmonic excitations and dipolar emitters, such as organic molecules, have been studied extensively in the last years. The questions whether strong coupling can be achieved with a single molecule only and how this is…

In this paper we study the macroscopic conduction properties of large but finite binary networks with conducting bonds. By taking a combination of a spectral and an averaging based approach we derive asymptotic formulae for the conduction…

Disordered Systems and Neural Networks · Physics 2015-06-04 D. P. Almond , C. J. Budd , M. A. Freitag , G. W. Hunt , N. J. McCullen , N. D. Smith

The multipole expansion is a key tool in the study of light-matter interactions. All the information about the radiation of and coupling to electromagnetic fields of a given charge-density distribution is condensed into few numbers: The…

Optics · Physics 2018-05-08 R. Alaee , C. Rockstuhl , I. Fernandez-Corbaton

We use analytic continuation to extend the gauge/gravity duality nonperturbative description of the strong force coupling into the transition, near-perturbative, regime where perturbative effects become important. By excluding the…

High Energy Physics - Phenomenology · Physics 2024-03-26 Guy F. de Teramond , Arpon Paul , Stanley J. Brodsky , Alexandre Deur , Hans Gunter Dosch , Tianbo Liu , Raza Sabbir Sufian

We present a new method to diagnose strong coupling in multi-mode open systems. Our method presents a non-trivial extension of exceptional point (EP) analysis employed for such systems; specifically, we show how eigenvectors can not only…

Quantum Physics · Physics 2021-05-12 C. Kow , Z. Xiao , A. Metelmann , A. Kamal

A broad class of observables in four-dimensional $\mathcal{N}=2$ and $\mathcal{N}=4$ superconformal Yang-Mills theories can be exactly computed for arbitrary 't Hooft coupling as Fredholm determinants of integrable Bessel operators. These…

High Energy Physics - Theory · Physics 2025-07-09 Zoltan Bajnok , Bercel Boldis , Gregory P. Korchemsky

As a continuation of the study (in arXiv:2102.07696 and arXiv:2104.12625) of strong-coupling expansion of non-planar corrections in $\mathcal N=2$ 4d superconformal models we consider two special theories with gauge groups $SU(N)$ and…

High Energy Physics - Theory · Physics 2022-07-28 M. Beccaria , G. V. Dunne , A. A. Tseytlin

This paper analyzes general spatially-coupled (SC) systems with multi-dimensional coupling. A continuum approximation is used to derive potential functions that characterize the performance of the SC systems. For any dimension of coupling,…

Information Theory · Computer Science 2013-04-19 Keigo Takeuchi , Toshiyuki Tanaka , Kenta Kasai

The Hubbard model provides a simple framework in which one can study how certain aspects of the electronic structure of strongly interacting systems can be tuned to optimize the superconducting pairing correlations and how these changes…

Superconductivity · Physics 2022-03-02 Thomas A. Maier , Elbio Dagotto

Selected configuration interaction (SCI) methods have emerged as state-of-the-art methodologies for achieving high accuracy and generating benchmark reference data for ground and excited states in small molecular systems. However, their…

Chemical Physics · Physics 2024-06-13 Hugh G. A. Burton , Pierre-François Loos

We set up a systematic expansion of the prepotential for ${\cal N}=2$ supersymmetric Yang-Mills theories with SU(N) gauge group in the region of strong coupling where a maximal number of mutually local fields become massless. In particular,…

High Energy Physics - Theory · Physics 2009-10-30 Eric D'Hoker , D. H. Phong

We develop numerical tools for Diagrammatic Monte-Carlo simulations of non-Abelian lattice field theories in the t'Hooft large-N limit based on the weak-coupling expansion. First we note that the path integral measure of such theories…

High Energy Physics - Lattice · Physics 2018-01-03 P. V. Buividovich , A. Davody

We show that in applications of variational theory to quantum field theory it is essential to account for the correct Wegner exponent omega governing the approach to the strong-coupling, or scaling limit. Otherwise the procedure either does…

High Energy Physics - Theory · Physics 2009-11-10 B. Hamprecht , H. Kleinert

The paper contains successive description of the strong-coupling perturbation theory. Formal realization of the idea is based on observation that the path-integrals measure for absorption part of amplitudes $\R$ is Diracian ($\d$-like). New…

High Energy Physics - Theory · Physics 2007-05-23 J. Manjavidze , A. Sissakian

The inverse problem of statistical mechanics involves finding the minimal Hamiltonian that is consistent with some observed set of correlation functions. This problem has received renewed interest in the analysis of biological networks; in…

Neurons and Cognition · Quantitative Biology 2010-12-30 Feraz Azhar , William Bialek

We present a strong-weak coupling duality for quantum mechanical potentials. Similarly to what happens in quantum field theory, it relates two problems with inverse couplings, leading to a mapping of the strong coupling regime into the weak…

High Energy Physics - Theory · Physics 2007-05-23 A. de Souza Dutra

Zimmermann's Reduction of Couplings (RoC) method is a powerful tool for addressing the problem of the excess of parameters in a field theory, as it yields relations among couplings that are invariant under the renormalization group. Its…

High Energy Physics - Phenomenology · Physics 2026-05-07 Luis Enrique Reyes Rodríguez , Myriam Mondragón

We consider a two-dimensional Ising model with random i.i.d. nearest-neighbor ferromagnetic couplings and no external magnetic field. We show that, if the probability of supercritical couplings is small enough, the system admits a…

Disordered Systems and Neural Networks · Physics 2015-05-30 L. Bertini , Emilio N. M. Cirillo , E. Olivieri

The search of controlled approximations to study strongly coupled systems remains a very general open problem. Wilson's renormalization group has shown to be an ideal framework to implement approximations going beyond perturbation theory.…

Statistical Mechanics · Physics 2022-08-18 Gonzalo De Polsi , Nicolás Wschebor