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The normalization of the gluon condensate and of renormalon-related power corrections in QCD is computed under the assumption that their ``perturbative'' part dominates over any eventual extra contribution from the non-trivial vacuum. The…

High Energy Physics - Phenomenology · Physics 2010-02-03 Georges Grunberg

In this thesis we deal with different aspects of quantum field theory, particularly in non-perturbative but also perturbative regimes, applied to the intellectual construction that is the Standard Model for Particle Physics (SM), but also…

High Energy Physics - Phenomenology · Physics 2023-09-25 Alexandre Salas-Bernárdez

We give an introduction to perturbative Quantum Chromodynamics, focusing on a pedagogical description of concepts and methods to calculate cross sections measured at high energy colliders. After introducing basic concepts that allow for a…

High Energy Physics - Phenomenology · Physics 2026-01-01 Gudrun Heinrich , Anton Olsson

In this paper we discuss effective strong coupling constants. Those are well behaved in the low-Q^2 domain, contrarily to alpha_s from pQCD. We present an extraction of an effective strong coupling constant from Jefferson Lab polarized data…

High Energy Physics - Phenomenology · Physics 2009-08-24 A. Deur

Selected, recent results, primarily from collider experiments but including some fixed target experiments, are presented as a survey of Quantum Chromodynamics (QCD). The concepts of leading order and next-to-leading order QCD are…

High Energy Physics - Experiment · Physics 2011-03-23 Gerald C. Blazey

This work provides an overview of recent results obtained in the framework of QCD with analytic coupling. Applications to the polarized Bjorken and Gross-Llewellyn Smith sum rules are considered.

High Energy Physics - Phenomenology · Physics 2025-09-29 I. R. Gabdrakhmanov , N. A. Gramotkov , A. V. Kotikov , O. V. Teryaev , D. A. Volkova , I. A. Zemlyakov

We perform an analytic semi-classical quantization of the straight QCD string with one end fixed and a massless quark on the other, in the limits of orbital and radial dominant motion. We compare our results to the exact numerical…

High Energy Physics - Phenomenology · Physics 2014-11-17 Theodore J. Allen , Charles Goebel , M. G. Olsson , Sinisa Veseli

Analytical approximations for $< \phi^2 >$ of a quantized scalar field in ultrastatic asymptotically flat spacetimes are obtained. The field is assumed to be both massive and massless, with an arbitrary coupling $\xi$ to the scalar…

High Energy Physics - Theory · Physics 2009-11-10 Arkady A. Popov

We review the determination of the strong coupling alpha_s from the comparison of the perturbative expression for the Quantum Chromodynamics static energy with lattice data. We collect here all the perturbative expressions needed to…

High Energy Physics - Phenomenology · Physics 2020-06-05 Xavier Garcia i Tormo

Quantum Monte Carlo is used to investigate the possibility of d_{x^2-y^2} superconductivity in the two-dimensional repulsive Hubbard model. A small energy scale relevant to possible pairing requires a care (i.e., sufficiently small level…

Strongly Correlated Electrons · Physics 2009-10-30 Kazuhiko Kuroki , Hideo Aoki

We use analytic continuation to extend the gauge/gravity duality nonperturbative description of the strong force coupling into the transition, near-perturbative, regime where perturbative effects become important. By excluding the…

High Energy Physics - Phenomenology · Physics 2024-03-26 Guy F. de Teramond , Arpon Paul , Stanley J. Brodsky , Alexandre Deur , Hans Gunter Dosch , Tianbo Liu , Raza Sabbir Sufian

We propose a generalization of Grunberg's method of effective charges in which, starting with the effective charge for some dimensionless QCD observable dependent on the single energy scale $Q, R(Q)$, we introduce an infinite set of…

High Energy Physics - Phenomenology · Physics 2009-10-30 C. J. Maxwell

We review the basic aspects of the perturbative QCD based on the operator product expansion to analyze the nucleon structure functions in a pedagogical way. We explain the non-trivial relation between the QCD results and the parton model…

High Energy Physics - Phenomenology · Physics 2016-09-01 J. Kodaira

An evaluation of the effective QED coupling at the scale M_Z is presented. It employs the predictions of perturbative QCD for the cross section of electron positron annihilation into hadrons up to order \alpha_s^2, including the full quark…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. H. Kühn , M. Steinhauser

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 elaborate on the relation between perturbative and power-like corrections to short-distance sensitive QCD observables. We confront theoretical expectations with explicit perturbative calculations existing in literature. As is expected,…

High Energy Physics - Phenomenology · Physics 2010-05-28 S. Narison , V. I. Zakharov

Based on a study of the analytic running coupling obtained from the standard perturbation theory results up to four-loop order, the QCD ``synthetic'' running coupling \alpha_{syn} is built. In so doing the perturbative time-like…

High Energy Physics - Phenomenology · Physics 2009-11-11 Aleksey I. Alekseev

The renormalization group applied to perturbation theory is ordinarily used to define the running coupling constant in the spacelike region. However, to describe processes with timelike momenta transfers, it is important to have a…

High Energy Physics - Phenomenology · Physics 2009-10-30 Kimball A. Milton , Olga P. Solovtsova

We present a systematic method to expand the quantum complexity of interacting theory in series of coupling constant. The complexity is evaluated by the operator approach in which the transformation matrix between the second quantization…

High Energy Physics - Theory · Physics 2021-03-17 Wung-Hong Huang

Perturbative QCD predicts and describes various features of multihadron production. An amazing similarity between observable hadron systems and calculable underlying parton ensembles justifies the attempts to use the language of quarks and…

High Energy Physics - Phenomenology · Physics 2009-11-07 Yuri L. Dokshitzer