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We obtain large deviation bounds for the measure of deviation sets associated to asymptotically additive and sub-additive potentials under some weak specification properties. In particular a large deviation principle is obtained in the case…

Dynamical Systems · Mathematics 2019-02-20 Paulo Varandas , Yun Zhao

A strong-coupling expansion is applied to the anharmonic Holstein model and to the Holstein-Hubbard model through fourth order in the hopping matrix element. Mean-field theory is then employed to determine transition temperatures of the…

Condensed Matter · Physics 2009-10-28 J. K. Freericks , G. D. Mahan

The infinite reduction of couplings is a tool to consistently renormalize a wide class of non-renormalizable theories with a reduced, eventually finite, set of independent couplings, and classify the non-renormalizable interactions. Several…

High Energy Physics - Theory · Physics 2009-11-11 Damiano Anselmi , Milenko Halat

The effective potential theory is a physically motivated method for extending traditional plasma transport theories to stronger coupling. It is practical in the sense that it is easily incorporated within the framework of the Chapman-Enskog…

Plasma Physics · Physics 2015-06-23 Scott D. Baalrud , Kim O. Rasmussen , Jerome Daligault

We revisit the strong coupling limit of the cusp anomalous dimension in planar N=4 super Yang-Mills theory. It is known that the strong coupling expansion is asymptotic and non-Borel summable. As a consequence, the cusp anomalous dimension…

High Energy Physics - Theory · Physics 2015-10-28 Daniele Dorigoni , Yasuyuki Hatsuda

We analyze the partition function of two dimensional Yang-Mills theory on a family of surfaces of infinite genus. These surfaces have a recursive structure, which was used by one of us to compute the partition function that results in a…

High Energy Physics - Theory · Physics 2014-11-20 Debashis Ghoshal , Camillo Imbimbo , Dushyant Kumar

Physical systems and signals are often characterized by complex functions of frequency in the harmonic-domain. The extension of such functions to the complex frequency plane has been a topic of growing interest as it was shown that specific…

Several results related to flat Friedmann-Lema\^{\i}tre-Robertson-Walker models in the conformal (Einstein) frame of scalar-tensor gravity theories are extended. Scalar fields with arbitrary (positive) potentials and arbitrary coupling…

General Relativity and Quantum Cosmology · Physics 2014-10-14 Carlos R. Fadragas , Genly Leon

The electronic properties of correlated metals with a strong electron-phonon coupling may be understood in terms of a combination of Landau's Fermi-liquid theory and the strong-coupling theory of Migdal and Eliashberg. In these lecture…

Superconductivity · Physics 2018-09-19 D. Rainer , J. A. Sauls

In the limit of infinite spatial dimensions a thermodynamically consistent theory of the strongly correlated electron systems, which is valid for arbitrary value of the Coulombic interaction ($U<\infty$), is built. For the Hubbard model the…

Strongly Correlated Electrons · Physics 2007-05-23 A. M. Shvaika

A strong-coupling expansion for the antiferromagnetic phase of the Hubbard model is derived in the framework of the slave-boson mean-field approximation. The expansion can be obtained in terms of moments of the density of states of freely…

Condensed Matter · Physics 2009-10-28 P. J. H. Denteneer

We consider a scalar quantum field theory with global $O(N)^3$ symmetry in four Euclidean dimensions and solve it numerically in closed form in the large-N limit. For imaginary tetrahedral coupling the theory is asymptotically free, with…

High Energy Physics - Theory · Physics 2024-09-04 Jürgen Berges , Razvan Gurau , Hannes Keppler , Thimo Preis

We examine the effect of clamping variables for approximate inference in undirected graphical models with pairwise relationships and discrete variables. For any number of variable labels, we demonstrate that clamping and summing approximate…

Machine Learning · Computer Science 2015-10-02 Adrian Weller , Justin Domke

The total measurable level of a pathogen is due to many sources, which produce a variety of pulses, overlapping in time, that rise suddenly and then decay. What is measured is the level of the total contribution of the sources at a given…

Applications · Statistics 2008-11-23 O. E. Percus , J. K. Percus

To achieve control objectives for extremely large-scale complex networks using standard methods is essentially intractable. In this work a theory of the approximate control of complex network systems is proposed and developed by the use of…

Optimization and Control · Mathematics 2020-10-28 Shuang Gao , Peter E. Caines

Models of coupled oscillators are useful in describing a wide variety of phenomena in physics, biology and economics. These models typically rest on the premise that the oscillators are weakly coupled, meaning that amplitudes can be assumed…

Quantitative Methods · Quantitative Biology 2018-12-18 Erik D. Fagerholm , Rosalyn J. Moran , Inês R. Violante , Robert Leech , Karl J. Friston

We introduce a method for calculating the stationary state of a translation invariant array of weakly coupled cavities in the presence of dissipation and coherent as well as incoherent drives. Instead of computing the full density matrix…

Quantum Physics · Physics 2014-03-06 Elena del Valle , Michael J. Hartmann

Extreme-value copulas arise as the limiting dependence structure of component-wise maxima. Defined in terms of a functional parameter, they are one of the most widespread copula families due to their flexibility and ability to capture…

Methodology · Statistics 2022-03-25 Javier Fernández Serrano

Given an observable and its operator product expansion (OPE), we present expressions that carefully disentangle truncated sums of the perturbative series in powers of $\alpha$ from the non-perturbative (NP) corrections. This splitting is…

High Energy Physics - Theory · Physics 2019-04-24 Cesar Ayala , Xabier Lobregat , Antonio Pineda

This work is devoted to the six-gluon scattering amplitude in strongly coupled N=4 supersymmetric Yang-Mills theory. At weak coupling, an appropriate high energy limit of the so-called remainder function, i.e. of the deviation from the BDS…

High Energy Physics - Theory · Physics 2011-02-01 J. Bartels , J. Kotanski , V. Schomerus
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