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An elegant and more precise formula for the 3-loop perturbative QCD coupling is discussed. It improves the common expression (e.g., canonized by PDG) in few GeV region. On its base, we propose simple analytic Model for ghost-free QCD…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. V. Shirkov

The product of the gluon dressing function and the square of the ghost dressing function in the Landau gauge can be regarded to represent, apart from the inverse power corrections $1/Q^{2 n}$, a nonperturbative generalization $A(Q^2)$ of…

High Energy Physics - Phenomenology · Physics 2017-12-05 Gorazd Cvetic

We show that a finite non-vanishing ghost dressing function at zero momentum satisfies the scaling properties of the ghost propagator Schwinger-Dyson equation. This kind of Schwinger-Dyson solutions may well agree with lattice data and…

High Energy Physics - Phenomenology · Physics 2010-03-19 Ph. Boucaud , Th. Brüntjen , J. P. Leroy , A. Le Yaouanc , A. Y. Lokhov , J. Micheli , O. Pène , J. Rodríguez-Quintero

The ghost-gluon scattering kernel is a special correlation function that is intimately connected with two fundamental vertices of the gauge sector of QCD: the ghost-gluon vertex, which may be obtained from it through suitable contraction,…

High Energy Physics - Phenomenology · Physics 2019-03-11 A. C. Aguilar , M. N. Ferreira , C. T. Figueiredo , J. Papavassiliou

String-localized QFT allows to explain Standard Model interactions in an autonomous way, committed to quantum principles rather than a "gauge principle", thus avoiding an indefinite state space and compensating ghosts. The resulting…

High Energy Physics - Theory · Physics 2025-10-21 Iustus C. Hemprich , Karl-Henning Rehren

A particular initial state for the construction of a perturbative QCD expansion is investigated. It is formed as a coherent superposition of zero momentum gluon pairs and shows Lorentz as well as global $SU(3)$ symmetries. The general form…

High Energy Physics - Theory · Physics 2007-05-23 Marcos Rigol

We employ analytic QCD (anQCD) approach to analyze the unpolarized nucleon structure function (NSF) in deep inelastic scattering ( DIS ) processes at the next-to-leading order (NLO) accuracy. Considering the unreliable results of underlying…

High Energy Physics - Phenomenology · Physics 2021-10-13 L. Ghasemzadeh , A. Mirjalili , S. Atashbar Tehrani

We present a gauge independent method to construct the effective action of QCD, and calculate the one loop effective action of $SU(2)$ QCD in an arbitrary constant background field. Our result establishes the existence of a dynamical…

High Energy Physics - Theory · Physics 2007-05-23 Y. M. Cho , D. G. Pak

We reconstruct ghost and gluon spectral functions in 2+1 flavor QCD with Gaussian process regression. This framework allows us to largely suppress spurious oscillations and other common reconstruction artifacts by specifying generic…

High Energy Physics - Phenomenology · Physics 2022-02-25 Jan Horak , Jan M. Pawlowski , José Rodríguez-Quintero , Jonas Turnwald , Julian M. Urban , Nicolas Wink , Savvas Zafeiropoulos

Truncated Dyson-Schwinger equations represent finite subsets of the equations of motion for Green's functions. Solutions to these non-linear integral equations can account for non-perturbative correlations. A closed set of coupled…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andreas Hauck , Lorenz von Smekal , Reinhard Alkofer

We investigate different aspects of lattice QCD in Landau gauge using Monte Carlo simulations. In particular, we focus on the low momentum behavior of gluon and ghost propagators. The gauge group is SU(3). Different systematic effects on…

High Energy Physics - Lattice · Physics 2007-05-23 Andre Sternbeck

We resolve the controversy on the stability of the monopole condensation in the one-loop effective action of SU(2) QCD by calculating the imaginary part of the effective action with two different methods at one-loop order. Our result…

High Energy Physics - Theory · Physics 2015-06-26 Y. M. Cho , M. L. Walker , D. G. Pak

Recent developments of perturbation theory at finite temperature based on effective field theory methods are reviewed. These methods allow the contributions from the different scales to be separated and the perturbative series to be…

High Energy Physics - Phenomenology · Physics 2009-10-30 Agustin Nieto

We show that the gauge invariant treatment of the Schwinger-Dyson equations of QCD leads to an infrared finite gluon propagator, signaling the dynamical generation of an effective gluon mass, and a non-enhanced ghost propagator, in…

High Energy Physics - Phenomenology · Physics 2009-04-14 A. C. Aguilar , D. Binosi , J. Papavassiliou

The objective of this thesis is to present two new perturbative frameworks for the study of low-energy Quantum Chromodynamics (QCD), termed the Screened Massive Expansion and the Dynamical Model. Both the frameworks paint a picture of the…

High Energy Physics - Theory · Physics 2023-06-26 Giorgio Comitini

The effective action for the multi-Regge asymptotics is considered as a first step in calculating the unitarity correction to the perturbative pomeron. It can be derived from the original QCD action by intgrating out certain modes of the…

High Energy Physics - Theory · Physics 2007-05-23 R. Kirschner

We calculate the leading nonperturbative contributions to the effective Wilson coefficient of the four-fermion operators arising from the QCD penguin, and we demonstrate how the usual perturbative one loop contribution is augmented by…

High Energy Physics - Phenomenology · Physics 2016-09-06 Mohammad R. Ahmady , Victor Elias

A new fundamental form of the path integral for theories with local symmetry is introduced. It is utilised to construct effective actions that generate correlation functions of dressed fields in Yang-Mills theories and quantum gravity. The…

High Energy Physics - Theory · Physics 2025-05-20 Kevin Falls

We present a new truncation scheme for the Schwinger-Dyson equations of QCD that respects gauge invariance at any level of the dressed loop expansion. When applied to the gluon self-energy, it allows for its non-perturbative treatment…

High Energy Physics - Phenomenology · Physics 2008-11-26 Daniele Binosi , Joannis Papavassiliou

The one-loop effective action in QED at zero and finite temperature is obtained by using the worldline approach. The Feynman rules for the perturbative expansion of the action in the number of derivatives are derived. The general structure…

High Energy Physics - Theory · Physics 2011-04-15 Igor A. Shovkovy