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We address, within the dual superconductivity model for color confinement, the question whether the Yang-Mills vacuum behaves as a superconductor of type I or type II. In order to do that we compare, for the theory with gauge group SU(2),…

High Energy Physics - Lattice · Physics 2008-11-26 A. D'Alessandro , M. D'Elia , L. Tagliacozzo

An example of higher-derivative theory with a non-Abelian gauge symmetry is proposed. In the free limit, the model describes the multiplet of vector fields, being subjected to the extended Chern-Simons equations. The theory admits a single…

High Energy Physics - Theory · Physics 2020-11-26 D. S. Kaparulin

Some nonperturbative aspects of Euclidean Yang-Mills theories in four dimensions, quantized in the Landau gauge, are analytically studied. In particular, we investigate the dynamical mass generation for the gluons due to the presence of…

High Energy Physics - Theory · Physics 2007-05-30 R. F. Sobreiro

We investigate the type of dual superconductivity responsible for quark confinement. For this purpose, we solve the field equations of the $U(1)$ gauge-scalar model to obtain the static vortex solution in the whole range without restricting…

High Energy Physics - Lattice · Physics 2020-05-21 Shogo Nishino , Kei-Ichi Kondo , Akihiro Shibata , Takaaki Sasago , Seikou Kato

Lattice simulations and theoretical analyses consistently identify center vortices and monopoles as key nonperturbative configurations in Yang-Mills theory. In the continuum, the effective representation of mixed oriented and nonoriented…

High Energy Physics - Theory · Physics 2026-03-27 David R. Junior , Gastão Krein , Luis E. Oxman , Bruno R. Soares

We study the electric flux tubes that undertake color confinement in N=2 supersymmetric Yang-Mills theories softly broken down to N=1 by perturbing with the first two Casimir operators. The relevant Abelian Higgs model is not the standard…

High Energy Physics - Theory · Physics 2009-10-31 Jose D. Edelstein , Wifredo Garcia Fuertes , Javier Mas , Juan Mateos Guilarte

There is a natural way to study the long distance interactions of gauge theories in the electric (momentum) representation. Here, the main ideas are presented for the Abelian and Yang-Mills gauge theories emphasizing on the structure and…

High Energy Physics - Theory · Physics 2007-05-23 Jiannis Pachos

Domain walls in strongly coupled gauge theories are discussed. A general mechanism is suggested automatically leading to massless gauge bosons localized on the wall. In one of the models considered, outside the wall the theory is in the…

High Energy Physics - Theory · Physics 2009-10-30 G. Dvali , M. Shifman

We have proposed the non-Abelian dual superconductivity in SU(3) Yang-Mills theory for the mechanism of quark confinement,and we presented the numerical evidences in preceding lattice conferences by using the proposed gauge link…

High Energy Physics - Lattice · Physics 2015-01-27 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

We show the construction of the dual superconducting theory for the confinement mechanism from QCD in the maximally abelian (MA) gauge using the lattice QCD Monte Carlo simulation. We find that essence of infrared abelian dominance is…

High Energy Physics - Lattice · Physics 2016-05-23 H. Suganuma , K. Amemiya , A. Tanaka , H. Ichie

We apply a functional perturbative approach to the calculation of the equal-time two-point correlation functions and the potential between static color charges to one-loop order in Coulomb gauge Yang-Mills theory. The functional approach…

High Energy Physics - Theory · Physics 2012-06-05 D. Campagnari , A. Weber , H. Reinhardt , F. Astorga , W. Schleifenbaum

We investigate the low-order Green's functions of SU(N) Yang-Mills theory in Landau gauge, using a covariant variational principle based on the effective action formalism. Employing an approximation to the Faddeev-Popov determinant…

High Energy Physics - Theory · Physics 2014-04-02 Markus Quandt , Hugo Reinhardt , Jan Heffner

I continue the study of a renormalizable four-dimensional generally covariant Yang-Mills-like action, which depends on the Lorentzian complex structure of spacetime and not its metric. The field equations and their integrability conditions…

High Energy Physics - Theory · Physics 2010-12-13 C. N. Ragiadakos

We study the dual Higgs mechanism induced by monopole condensation based on the dual gauge formalism in the maximally abelian (MA) gauge in the lattice QCD. To examine ``monopole condensation'' in QCD, we study the monopole part or the…

High Energy Physics - Lattice · Physics 2016-09-01 Atsunori Tanaka , Hideo Suganuma

We expand our previous study [1] of replicated gauge configurations in lattice SU(Nc) Yang-Mills theory -- employing Bloch's theorem, from condensed-matter physics -- to construct gauge-fixed field configurations on significantly larger…

High Energy Physics - Lattice · Physics 2025-06-10 Attilio Cucchieri , Tereza Mendes

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

The dual superconductivity of the vacuum in SU(3) gauge theory is investigated by constructing a disorder parameter which signals monopole condensation in various abelian projections and by studying numerically on the lattice its behaviour…

High Energy Physics - Lattice · Physics 2009-10-31 A. Di Giacomo , B. Lucini , L. Montesi , G. Paffuti

We introduce a self-dual field strength which replaces the gauge field in spontaneously broken Yang-Mills theory, reformulating it as a Lorentz covariant non-linear sigma model. This dualized theory is in both a unitary and renormalizable…

High Energy Physics - Theory · Physics 2007-05-23 Gordon Chalmers , Warren Siegel

In the Abelian-Higgs model, or Ginzburg-Landau model of superconductivity, the existence of an infrared stable charged fixed point ensures that there is a parameter range where the superconducting phase transition is second order, as…

High Energy Physics - Theory · Physics 2019-07-22 Aron J. Beekman , Gergely Fejős

We investigate the $(2+1)$-dimensional $q$-deformed $\mathrm{SU}(N)_k$ Yang-Mills theory in the lattice Hamiltonian formalism, which is characterized by three parameters: the number of colors $N$, the coupling constant $g$, and the level…

High Energy Physics - Lattice · Physics 2026-01-08 Tomoya Hayata , Yoshimasa Hidaka , Hiromasa Watanabe