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Perturbative QCD uses the Faddeev-Popov gauge-fixing procedure, which leads to ghosts and the local BRST invariance of the gauge-fixed perturbative QCD action. In the asymptotic regime, where perturbative QCD is relevant, Gribov copies can…

High Energy Physics - Lattice · Physics 2017-08-23 Anthony G. Williams

The pinch technique (PT) is applied to obtain the gauge-independent resummed gluon self-energy in a hot Yang-Mills gas. Calculation is performed at one- loop level in linear gauges which preserve rotational invariance and the res ummed…

High Energy Physics - Phenomenology · Physics 2009-10-30 Ken Sasaki

I review recent results on the infrared properties of QCD from Dyson-Schwinger equations. The topics include infrared exponents of one-particle irreducible Green's functions, the fixed point behaviour of the running coupling at zero…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian S. Fischer

About ten years ago the use of standard functional manipulations was demonstrated to imply an unexpected property satisfied by the fermionic Green's functions of QCD and dubbed effective locality. This feature of QCD is non-perturbative as…

High Energy Physics - Theory · Physics 2020-02-18 Thierry Grandou , Ralf Hofmann

The recent investigations of pure Landau gauge SU(3) Yang-Mills theories which are based on the truncated Schwinger-Dyson equations (SDE) indicate an infrared power law behavior of the gluon and the ghost propagators. It has been shown that…

High Energy Physics - Theory · Physics 2007-05-23 Junya Kato

In Landau gauge QCD the Kugo-Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators are reviewed. It is demonstrated that the realization of this confinement criterion (which is closely…

Nuclear Theory · Physics 2009-11-10 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal

The full gluon propagator relevant for the description of the truly non-perturbative QCD dynamics, the so-called intrinsically non-perturbative gluon propagator has been derived in our previous work. It explicitly depends on the regularized…

High Energy Physics - Phenomenology · Physics 2009-12-15 V. Gogokhia

Motivated by recent experimental refinements of stellar reaction rates, we establish a non-perturbative Green's function formalism based on the exact solution of the Dyson equation for sub-barrier proton-nucleus resonant scattering. By…

Nuclear Theory · Physics 2026-03-19 Bahruz Suleymanli , Kutsal Bozkurt

We present the perturbative and non-perturbative QCD structure of the dipole-dipole scattering amplitude in momentum space. The perturbative contribution is described by two-gluon exchange and the non-perturbative contribution by the…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. I. Shoshi , F. D. Steffen , H. G. Dosch , H. J. Pirner

The Gluon and Ghost propagators in Landau gauge QCD are investigated using the Schwinger-Dyson equation approach. Working in Euclidean spacetime, we solve for these propagators using a selection of vertex inputs, initially for the ghost…

High Energy Physics - Phenomenology · Physics 2012-01-12 M. R. Pennington , D. J. Wilson

The Schrodinger wave functional for the d=3+1 SU(N) vacuum is a partition function constructed in d=4; the exponent 2S in the square of the wave functional plays the role of a d=3 Euclidean action. We start from a gauge-invariant conjecture…

High Energy Physics - Theory · Physics 2008-11-26 John M. Cornwall

The non-perturbative structure of the photon and gluon propagators plays an important role in governing the dynamics of quantum electrodynamics (QED) and quantum chromodynamics (QCD) respectively. Although it is often assumed that these…

High Energy Physics - Theory · Physics 2017-09-21 Peter Lowdon

A solvable systematic truncation scheme for the Dyson-Schwinger equations of Euclidean QCD in Landau gauge is presented. It implements the Slavnov-Taylor identities for the three-gluon and ghost-gluon vertices, whereas irreducible…

High Energy Physics - Phenomenology · Physics 2009-07-09 Lorenz von Smekal , Andreas Hauck , Reinhard Alkofer

We consider the capacitive interaction between a charge qubit and a sensor quantum dot(SQD) perturbatively to the second order of their coupling constant at zero temperature by utilizing the method of non-equilibrium Green's functions…

Mesoscale and Nanoscale Physics · Physics 2017-07-12 S. Mojtaba Tabatabaei

The vertex connecting one background gluon with two quantum ones constitutes a central ingredient in the gauge-invariant Schwinger-Dyson equation that determines the non-perturbative dynamics of the gluon propagator. This vertex satisfies a…

High Energy Physics - Phenomenology · Physics 2011-03-04 Joannis Papavassiliou

At 2-loop order, Feynman integrals in the Coulomb gauge are divergent over the internal energy variables. Nevertheless, it is known how to calculate the effective action provided that the external gluon fields are all transverse. We show…

High Energy Physics - Theory · Physics 2015-06-22 A. Andrasi , J. C. Taylor

As has been recently realized, a certain two-point function $\Lambda$ -- and its associated form factors G and L -- play a prominent role in the PT-BFM formulation of the Schwinger-Dyson equations used to study gauge-invariantly the gluon…

High Energy Physics - Phenomenology · Physics 2015-05-20 Daniele Binosi

Through the application of the thermal operator to the zero temperature retarded Green's functions, we derive in a simple way the well known hard thermal effective action in QCD. By relating these functions to forward scattering amplitudes…

High Energy Physics - Theory · Physics 2008-11-26 Ashok Das , J. Frenkel

We present a quantum-field-theoretical framework based on path integrals and Feynman diagrams for the investigation of the quantum-optical properties of one-dimensional waveguiding structures with embedded quantum impurities. In particular,…

A non-perturbative calculation of the ghost-gluon running QCD coupling constant is performed using $N_f=2$ twisted-mass dynamical fermions. The extraction of $\Lambda_{\bar{MS}}$ in the chiral limit reveals the presence of a…

High Energy Physics - Lattice · Physics 2010-10-28 B. Blossier , Ph. Boucaud , F. De soto , V. Morenas , M. Gravina , O. Pène , J. Rodríguez-Quintero
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