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By superposition of regular gauge instantons or merons, ensembles of gauge fields are constructed which describe the confining phase of SU(2) Yang-Mills theory. Various properties of the Wilson loops, the gluon condensate and the…

High Energy Physics - Phenomenology · Physics 2010-02-16 F. Lenz

The gluon propagator in Landau gauge is calculated on the lattice for SU(2) gauge theory. In particular the manifestation of confinement in the gluon propagator is studied. Removing the confining center vortices from the Yang-Mills ensemble…

High Energy Physics - Lattice · Physics 2015-06-25 K. Langfeld , H. Reinhardt , J. Gattnar

The dual Meissner effect scenario of confinement is analysed using exact renormalisation group (ERG) equations. In particular, the low energy regime of SU(2) Yang-Mills is studied in a maximal Abelian gauge. It is shown that under general…

High Energy Physics - Theory · Physics 2007-05-23 Filipe Freire

We use effective magnetic SU(N) pure gauge theory with cutoff M and fixed gauge coupling g_m to calculate non-perturbative magnetic properties of the deconfined phase of SU(N) Yang-Mills theory. We obtain the response to an external closed…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Baker

The infrared behavior of Landau gauge gluon and ghost propagators are investigated in Yang-Mills theory at non-vanishing temperatures. Self-consistent solutions are presented for temperatures below the presumed phase transition and in the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Axel Maas , Jochen Wambach , Burghard Gruter , Reinhard Alkofer

We study in detail gaugino condensation in globally and locally supersymmetric Yang-Mills theories. We focus on models for which gauge-neutral matter couples to the gauge bosons only through nonminimal gauge kinetic terms, for the cases of…

High Energy Physics - Theory · Physics 2009-10-28 C. P. Burgess , J. -P. Derendinger , F. Quevedo , M. Quiros

The quantum of action $\hbar$, multiplying in certain powers perturbative vertices in 4D gauge theory, is related to the action of just-not-resolved selfdual and thermal gauge field configurations, calorons and anticalorons, of charge…

General Physics · Physics 2012-11-09 Ralf Hofmann , Dariush Kaviani

The mechanism of confinement in Yang-Mills theories remains a challenge to our understanding of nonperturbative gauge dynamics. While it is widely perceived that confinement may arise from chromo-magnetically charged gauge configurations…

High Energy Physics - Phenomenology · Physics 2018-03-28 Miguel Angel Lopez-Ruiz , Yin Jiang , Jinfeng Liao

The effective action for the Polyakov loop serving as an order parameter for deconfinement is obtained in one-loop approximation to second order in a derivative expansion. The calculation is performed in $d\geq 4$ dimensions, mostly…

High Energy Physics - Theory · Physics 2009-10-31 Holger Gies

The effective potential of the order parameter for confinement is calculated for SU(N) Yang--Mills theory in the Hamiltonian approach. Compactifying one spatial dimension and using a background gauge fixing, this potential is obtained…

High Energy Physics - Theory · Physics 2013-10-08 Hugo Reinhardt , Jan Heffner

The thesis is devoted to the problem of colour confinement in the non-Abelian Yang-Mills theory (gluon part of Quantum Chromodynamics). A generalisation of the 3-dimensional Fock-Schwinger gauge is proposed where the Gauss law constraint is…

Statistical Mechanics · Physics 2024-05-24 E. G. Timoshenko

A few issues on gluon confinement are addressed with the help of a renormalizable gauge model obtained by introducing a replica of the Faddeev-Popov action and a soft breaking of the BRST symmetry. Confinement turns out to be encoded in the…

High Energy Physics - Theory · Physics 2011-08-23 Silvio Paolo Sorella

We propose a new reformulation of Yang-Mills theory in which three- and four-gluon self-interactions are eliminated at the price of introducing a sufficient number of auxiliary fields. We discuss the validity of this reformulation in the…

High Energy Physics - Theory · Physics 2017-08-23 K. -I. Kondo

The confinement problem has been solved in the anisotropic (2+1)-dimensional SU(N) Yang-Mills theory at weak coupling. In this paper, we find the low-lying spectrum for N=2. The lightest excitations are pairs of fundamental particles of the…

High Energy Physics - Theory · Physics 2008-11-26 Peter Orland

Expanding the Landau gauge gluon and ghost two-point functions in a power series we investigate their infrared behavior. The corresponding powers are constrained through the ghost Dyson-Schwinger equation by exploiting multiplicative…

High Energy Physics - Phenomenology · Physics 2009-11-07 Peter Watson , Reinhard Alkofer

We revisit the non-Abelian dipole problem in the context of a simple semiclassical approach that incorporates some essential features of the infrared sector of Yang-Mills theories in the Landau gauge, in particular, the fact that both the…

High Energy Physics - Theory · Physics 2025-11-06 Marcela Peláez , Urko Reinosa , Julien Serreau , Matthieu Tissier , Nicolás Wschebor

We derive the Polyakov-loop thermodynamic potential in the perturbative approach to pure SU(3) Yang-Mills theory. The potential expressed in terms of the Polyakov loop in the fundamental representation corresponds to that of the…

High Energy Physics - Phenomenology · Physics 2013-02-01 Chihiro Sasaki , Krzysztof Redlich

We propose a mechanism displaying gluon confinement, as defined by the behavior of the propagators, in a model of SU(2) gauge fields. The model originates from an explicitly broken SU(3) gauge theory giving rise to a replica model composed…

High Energy Physics - Theory · Physics 2013-12-12 M. M. Amaral , M. A. L. Capri , Y. E. Chifarelli , V. E. R. Lemes

We provide a short discussion of the dimension two condensate <A^2> and its influence on the infrared behaviour of the gluon propagator in the Landau gauge. Simultaneously, we pay attention to the issue of Gribov copies in the Landau gauge.…

High Energy Physics - Theory · Physics 2008-11-26 M. Capri , D. Dudal , J. Gracey , V. Lemes , R. Sobreiro , S. P. Sorella , R. Thibes , H. Verschelde

We investigate the perturbative part of Seiberg's low-energy effective action of N=2 supersymmetric Yang-Mills theory in Wess-Zumino gauge in the conventional effective field theory technique. Using the method of constant field…

High Energy Physics - Theory · Physics 2009-10-31 M. Chaichian , W. F. Chen , C. Montonen