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The complete next to leading logarithmic (${\cal O}(\alpha_{s})$) corrections to the spin dependent weak deep inelastic structure functions $g_{1},g_{3}$ and $g_{4}$, are calculated using dimensional regularization within the HVBM method.…

High Energy Physics - Phenomenology · Physics 2010-11-01 D. de Florian , R. Sassot

We develop a numerical algorithm for identifying approximately conserved quantities in models perturbed away from integrability. In the long-time regime, these quantities fully determine correlation functions of local observables. Applying…

Strongly Correlated Electrons · Physics 2015-08-27 Marcin Mierzejewski , Tomaz Prosen , Peter Prelovsek

We study numerical integration of functions $f: \mathbb{R}^{s} \to \mathbb{R}$ with respect to a probability measure. By applying the corresponding inverse cumulative distribution function, the problem is transformed into integrating an…

Numerical Analysis · Mathematics 2025-10-01 Tiangang Cui , Josef Dick , Friedrich Pillichshammer

Corrections to the asymptotic correlation function in a Heisenberg spin-1/2 antiferromagnetic spin chain are known to vanish slowly (logarithmically) as a function of the distance r or the chain size L. This leads to significant differences…

Strongly Correlated Electrons · Physics 2009-10-31 Victor Barzykin , Ian Affleck

The approach to equilibrium is studied for long-range quantum Ising models where the interaction strength decays like r^{-\alpha} at large distances r with an exponent $\alpha$ not exceeding the lattice dimension. For a large class of…

Quantum Physics · Physics 2011-03-31 Michael Kastner

We investigate the static and dynamical behavior of 1D interacting fermions in disordered Hubbard chains, contacted to semi-infinite leads. The chains are described via the repulsive Anderson-Hubbard Hamiltonian, using static and…

Mesoscale and Nanoscale Physics · Physics 2013-03-27 V. Vettchinkina , A. Kartsev , D. Karlsson , C. Verdozzi

We present an integral transformation capable of extracting moments of arbitrary Paley-Wiener entire functions against a given spectral distribution based solely on short-time values of the correlation function in a small open disk about…

Mathematical Physics · Physics 2007-05-23 Cristian Predescu

In our recent work [Phys. Rev. Lett. 102, 230502 (2009)] we showed that the partition function of all classical spin models, including all discrete standard statistical models and all Abelian discrete lattice gauge theories (LGTs), can be…

Quantum Physics · Physics 2014-11-20 G. De las Cuevas , W. Dür , H. J. Briegel , M. A. Martin-Delgado

At the beginning of the 70's, Baxter introduced a multiparametric generalization of the six-vertex model. This integrable system has been found to exhibit a remarkable variety of critical behaviors. The work is part of a series of papers…

High Energy Physics - Theory · Physics 2025-11-26 Gleb A. Kotousov , Sergei L. Lukyanov , Daria A. Shabetnik

Environments with immobile obstacles or void regions that inhibit and alter the motion of individuals within that environment are ubiquitous. Correlation in the location of individuals within such environments arises as a combination of the…

Statistics Theory · Mathematics 2019-03-27 Stuart T. Johnston , Edmund J. Crampin

The strong coupling $\alpha_s$ is determined with high precision from fits to lattice QCD simulations on the static energy. Our theoretical setup relies on R-improving the three-loop fixed-order prediction for the static energy by removing…

High Energy Physics - Phenomenology · Physics 2026-02-04 Jose M. Mena-Valle , Vicent Mateu , Pablo G. Ortega

In this paper we present the 1-loop perturbative computation of the renormalization constants and mixing coefficients of the lattice quark operators of rank three whose hadronic elements enter in the determination of the second moment of…

High Energy Physics - Lattice · Physics 2016-09-01 Giuseppe Beccarini , Massimo Bianchi , Stefano Capitani , Giancarlo Rossi

We consider multi-dimensional Schr\"odinger operators with a weak random perturbation distributed in the cells of some periodic lattice. In every cell the perturbation is described by the translate of a fixed abstract operator depending on…

Analysis of PDEs · Mathematics 2021-02-03 Denis Borisov , Matthias Täufer , Ivan Veselic

We investigate, via numerical simulations, the phase ordering kinetics of a two- dimensional soft-spin O(2) Ginzburg-Landau model when a reversible mode cou- pling is included via the conserved conjugate momentum of the spin order parameter…

Statistical Mechanics · Physics 2015-05-20 Keekwon Nam , Bongsoo Kim , Sung Jong Lee

We study one-loop corrections to retarded and symmetric hydrostatic correlation functions within the Schwinger-Keldysh effective field theory framework for relativistic hydrodynamics, focusing on charge diffusion. We first consider the…

High Energy Physics - Theory · Physics 2021-02-25 Akash Jain , Pavel Kovtun , Adam Ritz , Ashish Shukla

For the treatment of interacting electrons in crystal lattices approximations based on the picture of effective sites, coupled in a self-consistent fashion, have proven very useful. Particularly in the presence of strong local correlations,…

Strongly Correlated Electrons · Physics 2008-09-19 Norbert Grewe , Sebastian Schmitt , Torben Jabben , Frithjof B. Anders

We introduce the framework of discrete holomorphic functions on t-embeddings of weighted bipartite planar graphs; t-embeddings also appeared under the name Coulomb gauges in a recent paper arXiv:1810.05616. We argue that this framework is…

Probability · Mathematics 2022-11-08 Dmitry Chelkak , Benoît Laslier , Marianna Russkikh

We consider spectral quantities in lattice QCD and determine the asymptotic behavior of their discretization errors. Wilson fermion with O$(a)$-improvement, (M\"obius) Domain wall fermion (DWF), and overlap Dirac operators are considered in…

High Energy Physics - Lattice · Physics 2024-10-18 Nikolai Husung , Peter Marquard , Rainer Sommer

The spin-dependent interactions in mesons are considered in detail in the framework of the Field Correlator Method. Analytic expressions for the spin-dependent potentials in heavy and light quarkonia are derived with the QCD string moment…

High Energy Physics - Phenomenology · Physics 2008-12-30 A. M. Badalian , A. V. Nefediev , Yu. A. Simonov

In the high spin-orbit coupled Sr2IrO4, the high sensitivity of the ground state to the details of the local lattice structure shows a large potential for the manipulation of the functional properties by inducing local lattice distortions.…