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We investigate functionals defined on manifolds through parameterizations. If they are to be meaningful, from a geometrical viewpoint, they ought to be invariant under reparameterizations. Standard, local, integral functionals with this…

Differential Geometry · Mathematics 2024-11-08 Pablo Pedregal

Azimuthal and single spin asymmetries play a crucial role in the study of the spin structure of hadrons in terms of their elementary constituents. Exploiting them to uncover information over subtle distribution and fragmentation functions,…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Boglione , P. J. Mulders

Recent deep inelastic results from the H1 collaboration are presented. The topics covered include inclusive diffractive physics, the determination of alpha_S using the event shapes, the study of the hadronic final state at low x with single…

High Energy Physics - Experiment · Physics 2009-10-30 Gregorio Bernardi

Nonanalytic features are interesting in physics as they carry valuable information about the physical properties of the system. These properties manifest themselves in observables containing a one- or two-particle spectral function. In this…

Superconductivity · Physics 2026-03-31 Igor Benek-Lins , Dean Fountas , Jonathan Discenza , Saurabh Maiti

An application of resonant inelastic x-ray scattering technique for studying of optical scale excitations in electron-correlated materials is discussed. Examples are given including data obtained for 3d transition metal, lanthanide, and…

Strongly Correlated Electrons · Physics 2007-05-23 Sergei M. Butorin

We discuss interfaces in spin glasses. We present new theoretical results and a numerical method to characterize overlap interfaces and the stability of the spin-glass phase in extended disordered systems. We use this definition to…

Statistical Mechanics · Physics 2009-02-02 Silvio Franz , T Jorg , Giorgio Parisi

The paper explores various special functions which generalize the two-parametric Mittag-Leffler type function of two variables. Integral representations for these functions in different domains of variation of arguments for certain values…

Functional Analysis · Mathematics 2017-05-17 Christian Lavault

A review is presented on all higher order QCD corrections to deep inelastic structure functions. The implications of these corrections for polarized and unpolarized deep inelastic lepton-hadron scattering will be discussed.

High Energy Physics - Phenomenology · Physics 2007-05-23 W. L. van Neerven

The current status of the theory of and the experimental evidence for color transparency are reviewed. The problems with interpretation of quasielastic scattering on nuclei are discussed to some detail.

Nuclear Theory · Physics 2007-05-23 N. N. Nikolaev , B. G. Zakharov

Coherent control has enabled various novel phenomena in wave scattering. We introduce an effect called coherent orthogonal scattering, where the output wave becomes orthogonal to the reference output state without scatterers. This effect…

Optics · Physics 2024-08-13 Cheng Guo , Shanhui Fan

We introduce floating bodies for convex, not necessarily bounded subsets of $\mathbb{R}^n$. This allows us to define floating functions for convex and log concave functions and log concave measures. We establish the asymptotic behavior of…

Functional Analysis · Mathematics 2018-08-07 Ben Li , Carsten Schuett , Elisabeth M. Werner

The distribution of a suitably defined azimuthal angle in diffractive deep inelastic scattering contains information on the polarisation of the exchanged photon. In particular it allows one to constrain the longitudinal diffractive…

High Energy Physics - Phenomenology · Physics 2011-09-13 M. Diehl

Supersymmetric (SUSY) optical structures display a number of intriguing properties that can lead to a variety of potential applications, ranging from perfect global phase matching to highly efficient mode conversion and novel multiplexing…

A review is presented of some aspects of semi-inclusive deeply inelastic scattering and transversity. In particular, the role of $k_T$-dependent and higher-twist (or multi-parton) distributions in generating single-spin asymmetries is…

High Energy Physics - Phenomenology · Physics 2014-11-18 Philip G. Ratcliffe

As a contribution to the inverse scattering problem for classical chaotic systems, we show that one can select sequences of intervals of continuity, each of which yields the information about period, eigenvalue and symmetry of one unstable…

chao-dyn · Physics 2016-08-31 Thomas Bütikofer , Christof Jung , Thomas H. Seligman

A short review of recent theoretical results on the Deep Inelastic Scattering is presented.

High Energy Physics - Phenomenology · Physics 2007-05-23 B. I. Ermolaev

In this work we derive important properties regarding matrix invariants which occur in the theory of differential equations with reflection.

Classical Analysis and ODEs · Mathematics 2018-12-26 Santiago Codesido , F. Adrián F. Tojo

In this work a symmetry of universal finite-size scaling functions under a certain anisotropic scale transformation is postulated. This transformation connects the properties of a finite two-dimensional system at criticality with…

Statistical Mechanics · Physics 2009-11-07 Alfred Hucht

We show that spin-flip probabilities emerge in the relativistic regime for scalar potentials, absent in the standard Dirac representation. We examine 1D scattering for the Dirac equation employing an alternate matrix representation…

Quantum Physics · Physics 2025-11-12 Muhammad Adeel Ajaib

The QCD expectations concerning the deep inelastic lepton - hadron scattering at low $x$ and their phenomenological implications for HERA are summarised. Theoretical predictions for the structure function $F_2(x,Q^2)$ based on the leading…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Kwieciński