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The static pair correlation (distribution) function and the structure factor of particle distributions in three-dimensional homogeneous isotropic systems are explicitly restored from two-dimensional data observed in a thin slab sliced out…

Data Analysis, Statistics and Probability · Physics 2009-12-31 Hiroo Totsuji

An approach is introduced for the non-parametric reconstruction of the statistical properties of penetrable, isotropic randomly rough surfaces from in-plane, co-polarized light scattering data. Starting from expressions within the Kirchhoff…

Optics · Physics 2021-10-13 Verónica P. Simonsen , Dick Bedeaux , Ingve Simonsen

Effective chiral restoration in the hadronic spectrum has been conjectured as an explanation of multiplets of nearly degenerate seen in highly excited hadrons. The conjecture depends on the states being insensitive to the dynamics of…

High Energy Physics - Phenomenology · Physics 2009-11-11 Thomas D. Cohen

The extraction of spectral densities from Euclidean correlators evaluated on the lattice is an important problem, as these quantities encode physical information on scattering amplitudes, finite-volume spectra, inclusive decay rates, and…

High Energy Physics - Lattice · Physics 2023-12-01 Luigi Del Debbio , Alessandro Lupo , Marco Panero , Nazario Tantalo

We study the charmonium spectral functions at finite momentum and the dispersion relation of $\eta_c$ at finite temperature. For the analysis of the spectral function, we use an extended maximum entropy method (MEM). We perform the MEM…

High Energy Physics - Lattice · Physics 2014-12-02 A. Ikeda , M. Asakawa , M. Kitazawa

We present a self-consistent approach for computing the correlated quasiparticle spectrum of charged excitations in iterative $\mathcal{O}[N^5]$ computational time. This is based on the auxiliary second-order Green's function approach [O.…

Chemical Physics · Physics 2020-10-05 Oliver J. Backhouse , George H. Booth

We discuss a method to reconstruct two-dimensional proton bunch densities using vertex distributions accumulated during LHC beam-beam scans. The $x$-$y$ correlations in the beam shapes are studied and an alternative luminosity calibration…

High Energy Physics - Experiment · Physics 2019-04-10 Markus Klute , Catherine Medlock , Jakob Salfeld-Nebgen

We compute non-perturbative spectral functions in a scalar $\phi^4$-theory in three spacetime dimensions via the spectral functional renormalisation group. This approach allows for the direct, manifestly Lorentz covariant computation of…

High Energy Physics - Theory · Physics 2023-03-30 Jan Horak , Friederike Ihssen , Jan M. Pawlowski , Jonas Wessely , Nicolas Wink

This paper is concerned with function reconstruction from samples. The sampling points used in several approaches are (1) structured points connected with fast algorithms or (2) unstructured points coming from, e.g., an initial random draw…

Numerical Analysis · Mathematics 2023-06-07 Felix Bartel , Lutz Kämmerer , Daniel Potts , Tino Ullrich

We demonstrate the universality of the spectral correlation functions of a QCD inspired random matrix model that consists of a random part having the chiral structure of the QCD Dirac operator and a deterministic part which describes a…

High Energy Physics - Theory · Physics 2009-10-30 A. D. Jackson , M. K. Sener , J. J. M. Verbaarschot

A new method to compute the incoherent scattering function of harmonic lattices is introduced. It is based in a saddle point approximation for each term of the phonon expansion, and is simple enough to be used in practice. The method gives…

Other Condensed Matter · Physics 2018-07-20 Victor Laliena , Javier Campo

Smearing the bare quantum fields in lattice calculations before applying composite hadron creation operators has a long record of substantially improving overlaps onto low-lying energy eigenstates. A technique called distillation which…

High Energy Physics - Lattice · Physics 2022-11-15 Francesco Knechtli , Tomasz Korzec , Michael Peardon , Juan Andrés Urrea-Niño

We compute the sphaleron rate on the lattice from the inversion of the Euclidean time correlators of the topological charge density, performing also controlled continuum and zero-smoothing extrapolations. The correlator inversion is…

High Energy Physics - Lattice · Physics 2023-09-26 Claudio Bonanno , Francesco D'Angelo , Massimo D'Elia , Lorenzo Maio , Manuel Naviglio

A mechanism is described to symmetrize the ultraspherical spectral method for self-adjoint problems. The resulting discretizations are symmetric and banded. An algorithm is presented for an adaptive spectral decomposition of self-adjoint…

Numerical Analysis · Mathematics 2020-04-22 Jared Lee Aurentz , Richard Mikael Slevinsky

We give a transparent derivation of a relation obtained using a supersymmetric non-linear sigma model by Andreev and Altshuler [Phys. Rev. Lett. 72, 902, (1995)], which connects smooth and oscillatory components of spectral correlation…

Disordered Systems and Neural Networks · Physics 2009-10-31 B. Mehlig , M. Wilkinson

We analyze the quark spectral function above the critical temperature for deconfinement in quenched lattice QCD using clover improved Wilson fermions in Landau gauge. We show that the temporal quark correlator is well reproduced by a…

High Energy Physics - Lattice · Physics 2008-11-26 Frithjof Karsch , Masakiyo Kitazawa

We present a semiclassical approach to n-point spectral correlation functions of quantum systems whose classical dynamics is chaotic, for arbitrary n. The basic ingredients are sets of periodic orbits that have nearly the same action and…

Chaotic Dynamics · Physics 2018-11-14 Sebastian Müller , Marcel Novaes

We examine the behavior of the spectral function for the trace of the stress tensor in QCD in the two regimes where it is possible to make analytical progress; weak coupling, and close to a second order QCD phase transition. We determine…

High Energy Physics - Phenomenology · Physics 2011-07-18 Guy D. Moore , Omid Saremi

We introduce a method that allows the evaluation of general expressions for the spectral functions of the one-dimensional Hubbard model for all values of the on-site electronic repulsion U. The spectral weights are expressed in terms of…

Strongly Correlated Electrons · Physics 2007-05-23 J. M. P. Carmelo , K. Penc

Correlation functions provide information on the properties of mesons in vacuum and of hot nuclear matter. In this Letter, we present a new method to derive a well-defined spectral representation for correlation functions. Combining this…

Nuclear Theory · Physics 2013-07-19 Si-xue Qin
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