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Related papers: About Fractional Analytic QCD

200 papers

We present a brief overview of fractional analytic QCD.

High Energy Physics - Phenomenology · Physics 2023-11-06 A. V. Kotikov , I. A. Zemlyakov

We present an overview of fractional analytic QCD beyond leading order, following the results recently obtained in Ref. [1]. We demonstrate four different representations, the details of their derivation, and show the applicability of…

High Energy Physics - Phenomenology · Physics 2022-07-05 A. V. Kotikov , I. A. Zemlyakov

We describe the development of Analytic Perturbation Theory (APT) in QCD, called Fractional APT (FAPT), which has been suggested to apply the renormalization group evolution and QCD factorization technique in the framework of APT.

High Energy Physics - Phenomenology · Physics 2007-10-10 Alexander P. Bakulev

I review the current status of lattice QCD results. I concentrate on new analytical developments and on numerical results relevant to phenomenology.

High Energy Physics - Lattice · Physics 2015-06-25 Apoorva Patel

I review some of the main results on hard diffraction, in their relation to QCD, and indicate some of the strengths and weaknesses of the arguments. I also make some suggestions for future work.

High Energy Physics - Phenomenology · Physics 2007-05-23 John Collins

A short overview of recent developments on resummations in QCD is presented.

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrea Banfi

A Compact Introduction to Fractional Calculus is presented including basic definitions, fractional differential equations and special functions.

History and Overview · Mathematics 2023-01-03 Alexander I. Zhmakin

Some topics from recent progresses in lattice QCD are reviewed.

High Energy Physics - Lattice · Physics 2015-05-14 Sinya Aok

Fractional analytic QCD is constructed beyond leading order using the standard inverse logarithmic expansion. It is shown that, contrary to the usual QCD coupling constant, for which this expansion can be used only for large values of its…

High Energy Physics - Phenomenology · Physics 2023-05-30 A. V. Kotikov , I. A. Zemlyakov

An overview of recent theoretical progress on Non-Relativistic QCD and related effective theories is provided.

Nuclear Theory · Physics 2008-11-26 Joan Soto

I give a brief introduction to lattice QCD for non-specialists.

High Energy Physics - Lattice · Physics 2015-01-20 Christian Hoelbling

In this talk I give the mini-review on recent development in the non-linear QCD (at low $x$).

High Energy Physics - Phenomenology · Physics 2007-10-11 E. Levin

We summarize the current status of our understanding of the structure of the perturbative QCD expressions for the QCD generalization of the Crewther relation.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. L. Kataev

This paper deals with fractional-order controlled systems and fractional-order controllers in the frequency domain. The mathematical description by fractional transfer functions and properties of these systems are presented. The new ways…

Optimization and Control · Mathematics 2007-05-23 I. Petras , L. Dorcak , P. O'Leary , B. M. Vinagre , I. Podlubny

Fractional calculus represents a natural tool for describing relativistic phenomena in pseudo-Euclidean space-time. In this study, Fractional modified special relativity is presented. We obtain fractional generalized relation for the time…

General Physics · Physics 2011-09-06 Hosein Nasrolahpour

Abstrct: In this note, by considering fractionally linear functions over a finite field and consequently developing an abstract sequence, we study some of its properties.

Discrete Mathematics · Computer Science 2007-05-23 V. M. Siddlenikov , R. N. Mohan , Moon Ho Lee

We present a general overview of recent QCD results at hadronic colliders.

High Energy Physics - Experiment · Physics 2007-05-23 C. Royon

Here, we report briefly two topics: 1) The latest version of ``Analytic Perturbation Theory" (APT) devised recently for the QCD observables both in the Euclidean and Minkowskian regions. 2) Results of the APT--based calculation for some…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. V. Shirkov

I summarize what we know of adjoint QCD. Some observations (albeit very simple) are new.

High Energy Physics - Theory · Physics 2015-06-16 M. Shifman

Quasiparticles with fractional charge and fractional statistics are key features of the fractional quantum Hall effect. We discuss in detail the definitions of fractional charge and statistics and the ways in which these properties may be…

Mesoscale and Nanoscale Physics · Physics 2021-06-24 D. E. Feldman , Bertrand I. Halperin
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