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We relate the non-perturbative exact results in supersymmetry to perturbation theory using several different methods: instanton calculations at weak or strong coupling, a method using gaugino condensation and another method relating strong…

High Energy Physics - Theory · Physics 2016-09-06 D. Finnell , P. Pouliot

We performed a self-consistent calculation of the transport properties of a d-wave superconductor. We used for calculations the T-matrix approximation. The coresponding equations were evaluated numerically directly on the real frequecy…

Strongly Correlated Electrons · Physics 2009-11-07 C. P. Moca , E. Macocian

We study the fine geometric structure of bifurcation currents in the parameter space of cubic polynomials viewed as dynamical systems. In particular we prove that these currents have some laminar structure in a large region of parameter…

Dynamical Systems · Mathematics 2007-05-23 Romain Dujardin

We outline a representation for discrete multivariate distributions in terms of interventional potential functions that are globally normalized. This representation can be used to model the effects of interventions, and the independence…

Machine Learning · Statistics 2012-05-14 Mark Schmidt , Kevin Murphy

We report on evidence that confinement is related to dual superconductivity of the vacuum in full QCD, as in quenched QCD. The vacuum is a dual superconductor in the confining phase, whilst the U(1) magnetic symmetry is realized a la Wigner…

High Energy Physics - Lattice · Physics 2008-11-26 J. M. Carmona , M. D'Elia , L. Del Debbio , A. Di Giacomo , B. Lucini , G. Paffuti

The pseudoparticle approach is a numerical method to approximate path integrals in SU(2) Yang-Mills theory. Path integrals are computed by summing over all gauge field configurations, which can be represented by a linear superposition of a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Marc Wagner

We study how the influence of structural correlations in disordered systems manifests itself in experimentally measurable magnitudes, focusing on dc conductance of semiconductor superlattices with general potential profiles. We show that…

Condensed Matter · Physics 2009-10-22 Enrique Diez , Angel Sanchez , Francisco Dominguez-Adame

We study the discrete state structure of $\hat c=1$ superconformal matter coupled to 2-D supergravity. Factorization properties of scattering amplitudes are used to identify these states and to construct the corresponding vertex operators.…

High Energy Physics - Theory · Physics 2015-06-26 G. Aldazabal , M. Bonini , J. M. Maldacena

Statistics of closed paths in two-dimensional systems, which just determines the interference quantum correction to conductivity and anomalous magnetoconductance, has been studied by computer simulation of a particle motion over the plane…

Statistical Mechanics · Physics 2007-05-23 A. V. Germanenko , V. A. Larionova , G. M. Minkov , S. A. Negashev , I. V. Gornyi

Density of states (DOS) of graphene under a high uniform magnetic field and white-noise random potential is numerically calculated. The disorder broadened zero-energy Landau band has a Gaussian shape whose width is proportional to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 W. Zhu , Q. W. Shi , X. R. Wang , J. Chen , J. G. Hou

We study statistics of resonances in a one-dimensional disordered chain coupled to an outer world simulated by a perfect lead. We consider a limiting case for weak disorder and derive some results which are new in these studies. The main…

Disordered Systems and Neural Networks · Physics 2012-05-25 Vinayak

Statistical problems often involve linear equality and inequality constraints on model parameters. Direct estimation of parameters restricted to general polyhedral cones, particularly when one is interested in estimating low dimensional…

Methodology · Statistics 2025-05-01 Neha Agarwala , Arkaprava Roy , Anindya Roy

Many high-dimensional uncertainty quantification problems are solved by polynomial dimensional decomposition (PDD), which represents Fourier-like series expansion in terms of random orthonormal polynomials with increasing dimensions. This…

Numerical Analysis · Mathematics 2018-04-06 Sharif Rahman

In many applications it is important to understand the sensitivity of eigenvalues of a matrix polynomial to perturbations of the polynomial. The sensitivity commonly is described by condition numbers or pseudospectra. However, the…

Numerical Analysis · Mathematics 2017-04-06 Silvia Noschese , Lothar Reichel

Rapidity divergences occur when parton densities in a gauge theory are defined in the most natural way, as expectation values of partonic number operators in light-front quantization. I review these and other related divergences, and show…

High Energy Physics - Phenomenology · Physics 2009-02-19 John Collins

Disordered and frustrated graphical systems are ubiquitous in physics, biology, and information science. For models on complete graphs or random graphs, deep understanding has been achieved through the mean-field replica and cavity methods.…

Statistical Mechanics · Physics 2012-04-10 Haijun Zhou , Chuang Wang , Jing-Qing Xiao , Zedong Bi

Recent numerical simulations have shown that the distribution of conductance P(g) in 3D strongly localized regiem differs significally from the expected log normal distribution. To understand the origin of this difference analytically, we…

Disordered Systems and Neural Networks · Physics 2015-06-24 K. A. Muttalib. P. Markos , P. Woelfle

An assumption of smooth response to small parameter changes, of statistics or long-time averages of a chaotic system, is generally made in the field of sensitivity analysis, and the parametric derivatives of statistical quantities are…

Chaotic Dynamics · Physics 2021-06-22 Adam A. Sliwiak , Nisha Chandramoorthy , Qiqi Wang

Compartmental models based on tracer mass balance are extensively used in clinical and pre-clinical nuclear medicine in order to obtain quantitative information on tracer metabolism in the biological tissue. This paper is the second of a…

Medical Physics · Physics 2018-09-14 Delbary Fabrice , Garbarino Sara

A disorder parameter detecting dual superconductivity of the vacuum is measured across the chiral phase transition in full QCD with two flavours of dynamical staggered fermions. The observed behaviour is similar to the quenched case.

High Energy Physics - Lattice · Physics 2008-11-26 J. M. Carmona , M. D'Elia , L. Del Debbio , A. Di Giacomo , B. Lucini , G. Paffuti