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We show that the correlation functions of ghosts and gluons for the pure Yang-Mills theory in Landau gauge can be accurately reproduced for all momenta by a one-loop calculation. The key point is to use a massive extension of the…

High Energy Physics - Phenomenology · Physics 2010-11-11 Matthieu Tissier , Nicolas Wschebor

We derive the partition function for the SU(3) Yang-Mills theory in the presence of a uniform gluon field within the background field method. We show, that the $n$-body gluon contributions in the partition function are characterized solely…

High Energy Physics - Phenomenology · Physics 2015-06-04 Chihiro Sasaki , Krzysztof Redlich

We make progress towards a derivation of a low energy effective theory for SU(2) Yang-Mills theory. This low energy action is computed to 1-loop using the renormalization group technique, taking proper care of the Slavnov-Taylor identities…

High Energy Physics - Theory · Physics 2019-02-20 A. N. Efremov

The effects of the Gribov copies on the gluon and ghost propagators are investigated in SU(2) Euclidean Yang-Mills theory quantized in the maximal Abelian gauge. The diagonal component of the gluon propagator displays the characteristic…

High Energy Physics - Theory · Physics 2009-11-11 M. A. L. Capri , V. E. R. Lemes , R. F. Sobreiro , S. P. Sorella , R. Thibes

The propagators of the elementary degrees of freedom of (minimal-)Landau-gauge Yang-Mills theory have been a useful tool in various investigations. However, in lattice calculations they show severe dependencies on lattice artifacts. This…

High Energy Physics - Lattice · Physics 2015-02-06 Axel Maas

We present new relations for scattering amplitudes of color ordered gluons and gravitons in Einstein-Yang-Mills theory. Tree-level amplitudes of arbitrary multiplicities and polarizations involving up to three gravitons and up to two color…

High Energy Physics - Theory · Physics 2017-01-24 Dhritiman Nandan , Jan Plefka , Oliver Schlotterer , Congkao Wen

The exact nonperturbative confining solutions of the SU(3)-Yang-Mills equations recently obtained by author in Minkowski spacetime with the help of the black hole theory techniques are analysed and on the basis of them the gluon propagator…

High Energy Physics - Theory · Physics 2013-12-23 Yu. P. Goncharov

Propagators approximated by a meromorphic functions with complex conjugated poles are widely used to model infrared behavior of QCD Green's functions. In this paper, analytical solutions for two point correlator made out of functions with…

High Energy Physics - Theory · Physics 2016-10-10 V. Sauli

Possible mechanisms for gluon confinement in Yang-Mills theory in covariant gauges are discussed briefly. Implications for the infrared behavior of the Green's functions are outlined. Results for the gluon and Faddeev-Popov ghost…

High Energy Physics - Phenomenology · Physics 2007-05-23 Wolfgang Schleifenbaum , Axel Maas , Jochen Wambach , Reinhard Alkofer

We propose a description of the gluon scattering amplitudes as the inverse Mellin transforms of the conformal correlators of light operators in two-dimensional Liouville theory tensored with WZW-like chiral currents on the celestial sphere.…

High Energy Physics - Theory · Physics 2023-08-22 Stephan Stieberger , Tomasz R. Taylor , Bin Zhu

We study the gluon sector in pure Yang-Mills theories via the computation of two, three and four point Landau gauge gluon correlation functions via LQCD using the Wilson action for Monte-Carlo simulations. The first goal was to use lattice…

High Energy Physics - Lattice · Physics 2021-01-18 Guilherme Telo R. Catumba

In this note we discuss a couple of technical issues relevant to solving the Dyson-Schwinger equation for the gluon propagator in Landau gauge Yang-Mills theory. In the deep infrared functional methods extract a one-parameter family of…

High Energy Physics - Phenomenology · Physics 2015-05-20 Christian S. Fischer , Lorenz von Smekal

We demonstrate that power-like non-perturbative behavior of gluon and ghost propagators in infrared limit of Yang-Mills theories can provide at finite temperatures T a negative T^4-contribution to the pressure and energy density. Existence…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. N. Chernodub , V. I. Zakharov

The high-temperature phase of Yang-Mills theory in Landau gauge is studied using Dyson-Schwinger equations. The propagators of the gluon and the Faddeev-Popov ghosts are obtained at finite and infinite temperature, partially analytically.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Axel Maas

The same complex matrix model calculates both tachyon scattering for the c=1 non-critical string at the self-dual radius and certain correlation functions of half-BPS operators in N=4 super-Yang-Mills. It is dual to another complex matrix…

High Energy Physics - Theory · Physics 2011-10-11 T. W. Brown

We derive a gauge-invariant low-energy effective model of the SU(2) Yang-Mills theory. We find that the effective gluon propagator belongs to the Gribov-Stingl type, irrespective of the gauge choice. In the maximally Abelian gauge,…

High Energy Physics - Theory · Physics 2011-12-22 Kei-Ichi Kondo

A four-dimensional ${\rm SU}(4)$ confining Yang-Mills field, coupled to a fundamental fermion field and a bi-fundamental scalar field, has excitations with spin-2, but no other quantum numbers. These spin-2 excitations can be light or can…

High Energy Physics - Theory · Physics 2021-01-08 Peter Orland

Complex mass poles, or ghost poles, are present in the Hartree-Fock solution of the Schwinger-Dyson equation for the nucleon propagator in renormalizable models with Yukawa-type meson-nucleon couplings, as shown many years ago by Brown,…

Nuclear Theory · Physics 2009-10-30 C. A. da Rocha , G. Krein , L. Wilets

2+1-dimensional Yang-Mills theory is reinterpreted in terms of metrics on 3-manifolds. The dual gluons are related to diffeomorphisms of the 3-manifold. Monopoles are identified with points where the Ricci tensor has triply degenerate…

High Energy Physics - Theory · Physics 2009-10-31 Ramesh Anishetty , Pushan Majumdar , H. S. Sharatchandra

We investigate the infrared (strong-coupling) regime of SU(N)-Yang-Mills theory on a self-dual background. We present an evaluation of the full effective potential for the field strength invariant F_{\mu {\nu}}F^{\mu {\nu}} from…

High Energy Physics - Phenomenology · Physics 2011-03-22 Astrid Eichhorn , Holger Gies , Jan M. Pawlowski