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The Yang-Mills Schr\"odinger equation is variationally solved in Coulomb gauge for the vacuum sector using a trial wave functional, which is strongly peaked at the Gribov horizon. We find the absence of gluons in the infrared and also a…

High Energy Physics - Theory · Physics 2007-05-23 C. Feuchter , H. Reinhardt

The vacuum of Yang-Mills theories can be imagined as a magnetically disordered medium with domain structure, with color magnetic flux in each domain quantized in units corresponding to the gauge group center. This model leads to the…

High Energy Physics - Lattice · Physics 2011-07-14 S. Olejnik

In Yang-Mills theory massless point sources lead naturally to shock-wave configurations. Their magnetic counterparts endow the vacuum of the four-dimensional compact abelian model with a Coulomb-gas behaviour whose physical implications are…

High Energy Physics - Theory · Physics 2008-02-03 M. Martellini , A. Sagnotti , M. Zeni

Gribov's observation that global gauge fixing is impossible has led to suggestions that there may be a deep connection between gauge-fixing and confinement. We find an unexpected relation between the topological non-triviality of the gauge…

High Energy Physics - Theory · Physics 2015-06-11 A. P. Balachandran , Sachindeo Vaidya , Amilcar R. de Queiroz

It is a long-standing question whether the confinement of matter fields in QCD has an imprint in the (gauge-dependent) correlation functions, especially the propagators. As the analytic structure plays an important role in this question,…

High Energy Physics - Lattice · Physics 2016-07-08 Axel Maas

In this paper we develop a phenomenological model inspired by QCD that mimics QCD theory. We use gauge theory in color dielectric medium ($G(\phi)$) coupled with fermion fields to produce scalar and vector confinement in chromoelectric flux…

High Energy Physics - Theory · Physics 2020-04-28 Adamu Issifu , Francisco A. Brito

We study the physics of N=1 super Yang-Mills theory with gauge group U(Nc) and one adjoint Higgs field, by using the recently derived exact effective superpotentials. Interesting phenomena occur for some special values of the Higgs…

High Energy Physics - Theory · Physics 2010-12-03 Frank Ferrari

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

We study various entanglement measures in a one-parameter family of three-dimensional, strongly coupled Yang-Mills-Chern-Simons field theories by means of their dual supergravity descriptions. A generic field theory in this family possesses…

High Energy Physics - Theory · Physics 2021-03-17 Niko Jokela , Javier G. Subils

We study an extended Gross-Neveu model with $N_f$ quark flavors and with an additional SU(2) (global color) degree of freedom of the quarks. The four fermion interaction in the color channel is mediated by a random color matrix with fixed…

High Energy Physics - Phenomenology · Physics 2009-10-28 Kurt Langfeld

In a solvable model of two dimensional SU(N) (N \to \infty) gauge fields interacting with matter in both adjoint and fundamental representations we investigate the nature of the phase transition separating the strong and weak coupling…

High Energy Physics - Theory · Physics 2009-10-30 L. D. Paniak

Color confinement is the most puzzling phenomenon in the theory of strong interaction based on a quantum SU(3) Yang-Mills theory. The origin of color confinement supposed to be intimately related to non-perturbative features of the…

High Energy Physics - Theory · Physics 2020-12-29 D. G. Pak , Takuya Tsukioka

For a theory with a pseudo scalar coupling $\phi F\tilde F$ and in the case that there is a constant electric or magnetic strength expectation value, we compute the interaction potential within the structure of the gauge-invariant but…

High Energy Physics - Theory · Physics 2009-11-10 P. Gaete , E. I. Guendelman

We consider large-N confining gauge theories with a Hagedorn density of states. In such theories the potential between a pair of colour-singlet sources may diverge at a critical distance r_c = 1/ T_H. We consider, in particular, pure N=1…

High Energy Physics - Theory · Physics 2008-11-26 Adi Armoni , Timothy J. Hollowood

We investigate gauge theories based on the smallest exceptional simple lie group G(2). Our first model considered here is G(2) Yang-Mills coupled to a fundamental Higgs field. In 4 spacetime dimensions we explore the phase diagram of the…

High Energy Physics - Lattice · Physics 2011-11-03 Björn H. Wellegehausen

We employ a functional approach to investigate the confinement problem in quenched Landau gauge QCD. We demonstrate analytically that a linear rising potential between massive quarks is generated by infrared singularities in the dressed…

High Energy Physics - Phenomenology · Physics 2010-10-27 Reinhard Alkofer , Christian S. Fischer , Felipe J. Llanes-Estrada

Yang--Mills theory in four dimensions is studied by using the Coulomb gauge. The Coulomb gauge Hamiltonian involves integration of matrix elements of an operator P built from the Laplacian and from a first-order differential operator. The…

High Energy Physics - Theory · Physics 2009-11-07 Giampiero Esposito

Color confinement by the mechanism of Kugo and Ojima can treat confinement of any quantized color carrying fields including dynamical quarks. However, the non-perturbative condition for this confinement has been known to be satisfied only…

High Energy Physics - Theory · Physics 2016-09-06 Hiroyuki Hata , Yusuke Taniguchi

We investigate a recently proposed Higgs-like model (arXiv:0811.4423 [hep-th]), in the framework of a gauge-invariant but path-dependent variables formalism. We compute the static potential between test charges in a condensate of scalars…

High Energy Physics - Theory · Physics 2010-03-26 Patricio Gaete , Euro Spallucci

The study of Yang-Mills theories in three dimensions is an insightful playground to grasp important features for the four-dimensional case. Additionally, in three dimensions, the Chern-Simons term can be introduced with a mass parameter of…

High Energy Physics - Theory · Physics 2020-07-01 Luigi C. Ferreira , Antonio D. Pereira , Rodrigo F. Sobreiro