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Variational models with coupling terms are becoming increasingly popular in image analysis. They involve auxiliary variables, such that their energy minimisation splits into multiple fractional steps that can be solved easier and more…

Computer Vision and Pattern Recognition · Computer Science 2019-12-13 Aaron Wewior , Joachim Weickert

We consider a phenomenologycal parametrization of the QCD running coupling which arises from the dispersion relation respecting the holomorphic properties of the physical QCD observables in the complex momentum plane. The parameters are…

High Energy Physics - Phenomenology · Physics 2017-10-03 Cesar Ayala

We present a method for calculating event shapes in QCD based on correlation functions of conserved currents. The method has been previously applied to the maximally supersymmetric Yang-Mills theory, but we demonstrate that supersymmetry is…

High Energy Physics - Theory · Physics 2021-02-24 D. Chicherin , J. M. Henn , E. Sokatchev , K. Yan

Hadronization corrections to the thrust and related event shape distributions in the two-jet kinematical region of e+e- annihilation are summarized by nonperturbative shape functions. The moments of shape functions are given by universal…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Belitsky , G. P. Korchemsky , G. Sterman

We discuss the topological properties of the manifold of coupling constants for multi-coupling deformations of conformal field theories. We calculate the Euler and Betti numbers and briefly discuss physical applications of these results.

High Energy Physics - Theory · Physics 2007-05-23 Ulf Lindstrom , Maxim Zabzine

In this paper we provide a connection between the geometrical properties of a chaotic dynamical system and the distribution of extreme values. We show that the extremes of so-called physical observables are distributed according to the…

Statistical Mechanics · Physics 2015-06-12 Valerio Lucarini , Tobias Kuna , Davide Faranda , Jeroen Wouters

We propose a model for the QCD running coupling constant based on the Analytical Inverse QCD Coupling Constant concept with an additional regularization in the low momentum region. Analyticity in the $q^2$-complex plane, where $q$ is the…

High Energy Physics - Phenomenology · Physics 2025-11-11 Malaspina R. , Pierini L. , Shekhovtsova O. , Pacetti S

A disorder parameter is constructed which signals the condensation of vortices. The construction is tested by numerical simulations. Advances in the understanding of the basic properties of QCD vacuum will be reported. Three main subjects…

High Energy Physics - Lattice · Physics 2007-05-23 A. Di Giacomo

The Quantum Chromodynamics (QCD) coupling, $\alpha_s$, is not a physical observable of the theory since it depends on conventions related to the renormalization procedure. We introduce a definition of the QCD coupling, denoted by…

High Energy Physics - Phenomenology · Physics 2016-10-12 Diogo Boito , Matthias Jamin , Ramon Miravitllas

We introduce the notion of multiscale covariance tensor fields (CTF) associated with Euclidean random variables as a gateway to the shape of their distributions. Multiscale CTFs quantify variation of the data about every point in the data…

Machine Learning · Statistics 2017-03-01 Diego Hernán Díaz Martínez , Facundo Mémoli , Washington Mio

The compatibility of theoretically calculated values for the strong coupling constant,through the renormalization group approach with experimental data is studied. There exist considerable divergence in-between theoretical and experimental…

High Energy Physics - Phenomenology · Physics 2021-05-28 K. Javidan , M. M. Yazdanpanah , H. Nematollahi

Event shapes have long been used to extract information about hadronic final states and the properties of QCD, such as particle spin and the running coupling. Recently, a family of event shapes, the angularities, has been introduced that…

High Energy Physics - Phenomenology · Physics 2009-11-11 Carola F. Berger

The electromagnetic coupling constant, $\alpha$, is one of the fundamental parameters of the Standard Model (SM). Its value at the Z boson mass, $\alpha(M_Z)$, is of particular interest as it enters electroweak precision tests. When running…

High Energy Physics - Lattice · Physics 2024-01-09 Sophie Mutzel

We use a variational approach to gain insight into the strongly correlated d-wave superconducting state of the high Tc cuprates at T=0. We show that strong correlations lead to qualitatively different trends in pairing and phase coherence:…

Superconductivity · Physics 2009-11-10 Arun Paramekanti , Mohit Randeria , Nandini Trivedi

We show that the leading power corrections to the event shape distributions can be resummed into nonperturbative shape functions that do not depend on the center-of-mass energy and measure the energy flow in the final state. In the case of…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. P. Korchemsky

Astrophysical indications that the fine structure constant has undergone a small time variation during the cosmological evolution are discussed within the framework of the standard model of the electroweak and strong interactions and of…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Fritzsch

In this paper we present a set of criteria for the choice of the shape parameter c contained in multiquadrics.

Numerical Analysis · Mathematics 2010-04-07 Lin-Tian Luh

A general model is proposed for time-varying coupling constants in field theory, assuming the ultraviolet cutoff is a varying entity in the expanding universe. It is assumed that the cutoff depends on the scale factor of the universe and…

High Energy Physics - Phenomenology · Physics 2024-01-11 Taekoon Lee

The perturbative quantum chromodynamics (QCD) is quite successful in the description of main features of multiparticle production processes. Ten most appealing characteristics are described in this brief review talk and compared with QCD…

High Energy Physics - Phenomenology · Physics 2015-06-25 I. M Dremin

Airborne pathogen transmission mechanisms play a key role in the spread of infectious diseases such as COVID-19. In this work, we propose a computational fluid dynamics (CFD) approach to model and statistically characterize airborne…

Fluid Dynamics · Physics 2023-11-07 Fatih Gulec , Falko Dressler , Andrew W. Eckford