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We propose a new class of regular stationary axially symmetric solutions in a pure QCD which correspond to monopole-antimonopole pairs at macroscopic scale. The solutions represent vacuum field configurations which are locally stable…

High Energy Physics - Theory · Physics 2018-03-26 D. G. Pak , Bum-Hoon Lee , Y. Kim , T. Tsukioka , P. M. Zhang

We compute the effective action for covariantly constant gauge fields that are solutions of the sourceless Yang-Mills equation and have the form of magnetic flux tubes. They represent a superposition of infinite many alternating…

High Energy Physics - Theory · Physics 2026-01-09 George Savvidy

The effective action with homogeneous valence (off-diagonal) gluons as background fields in the extended SU(2) model of QCD is obtained in one-loop approximation. We keep the manifest gauge and Lorentz invariance during whole calculation by…

High Energy Physics - Theory · Physics 2007-05-23 Y. M. Cho , Haewon Lee , D. G. Pak

We evaluate S_{APQCD}, the Abelian projection QCD(APQCD) action nonperturbatively on the lattice. For SU(2), we find S_{APQCD} at strong coupling is essentially the compact QED(CQED) action. At weaker coupling, we find S_{APQCD} mutates: it…

High Energy Physics - Phenomenology · Physics 2016-09-01 Ken Yee

We construct the effective model based on QCD with gluon condensate. Under the assumption that the gluons are condensed with the sharp momentum peak in the momentum space, we formulate the effective field theory incorporating both the gluon…

High Energy Physics - Phenomenology · Physics 2016-06-03 Hiroaki Kohyama

The chromomagnetic vacuum of SU(2) gluodynamics is considered in the background of a finite radius flux tube (center-vortex) with homogeneous field inside and zero field outside. In this background there are tachyonic modes. These modes…

High Energy Physics - Theory · Physics 2023-11-30 M. Bordag

We employ nonperturbative flow equations for an investigation of the effective action in Yang-Mills theories. We compute the effective action $\Gamma[B]$ for constant color magnetic fields $B$ and examine Savvidy's conjecture of an unstable…

High Energy Physics - Theory · Physics 2009-10-30 M. Reuter , C. Wetterich

We employ nonperturbative flow equations for the description of the effective action in Yang-Mills theories. We find that the perturbative vacuum with vanishing gauge field strength does not correspond to the minimum of the Euclidean…

High Energy Physics - Theory · Physics 2008-02-03 M. Reuter , C. Wetterich

New terms are derived for the three-dimensional effective action of the static modes of pure gauge SU(N) at high temperature. In previous works, effective vertices have been obtained by evaluating diagrams involving 2, 3 or 4 external…

High Energy Physics - Phenomenology · Physics 2010-11-01 Scott Chapman

Properties of space-like monopoles projected on the 3D space in finite temperature quenched SU(2) QCD are studied. The monopole energy is derived from the effective action of the monopoles which is determined by an inverse Monte-Carlo…

High Energy Physics - Lattice · Physics 2009-11-10 Tsuneo Suzuki , M. N. Chernodub , Katsuya Ishiguro

The disorder parameter $<\mu>$ for the condensation of monopoles in QCD is estimated analytically in terms of gauge invariant field strength correlators. The continuum limit is discussed.

High Energy Physics - Lattice · Physics 2008-11-26 Adriano Di Giacomo

This is the short review of Monte-Carlo studies of quark confinement in lattice QCD. After abelian projections both in the maximally abelian and Polyakov gauges, it is seen that the monopole part alone is responsible for confinement. A…

High Energy Physics - Lattice · Physics 2016-11-03 Tsuneo Suzuki

We study a SU(2) gauge theory with a classical complex modulus. Introducing a chemical potential for a conserved modulus hypercharge causes it to become unstable and start condensing. We show that the modulus condensation in turn generates…

High Energy Physics - Theory · Physics 2008-11-26 Alex Buchel , Junji Jia , V. A. Miransky

We explicitly construct a monopole creation operator: its vacuum expectation value is an order parameter for dual superconductivity, in that, if different from zero, it signals a spontaneous breaking of the $U(1)$ symmetry corresponding to…

High Energy Physics - Lattice · Physics 2009-10-22 L. Del Debbio A. Di Giacomo , G. Paffuti

It is demonstrated that monopole condensation in the confined phase of SU(2) and SU(3) gauge theories is independent of the specific Abelian projection used to define the monopoles. Hence the dual excitations which condense in the vacuum to…

High Energy Physics - Lattice · Physics 2008-11-26 J. M. Carmona , M. D'Elia , A. Di Giacomo , B. Lucini , G. Paffuti

The hypothesis is analysed that the monopoles condensing in QCD vacuum to make it a dual superconductor are classical solutions of the equations of motion.

High Energy Physics - Lattice · Physics 2015-09-09 Adriano Di Giacomo

We investigated a behavior of monopole currents in the high temperature phase of abelian projected finite temperature SU(2) QCD in maximally abelian gauge. Wrapped monopole currents which are closed by periodic boundary play an important…

High Energy Physics - Lattice · Physics 2009-10-28 Shinji Ejiri

We investigate SU(2) gauge theory in a constant chromomagnetic field in three dimensions both in the continuum and on the lattice. Using a variational method to stabilize the unstable modes, we evaluate the vacuum energy density in the…

High Energy Physics - Lattice · Physics 2009-10-22 P. Cea , L. Cosmai

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 study monopoles and gluon fields in QCD in the maximally abelian (MA) gauge in the context of the dual superconductor picture for confinement. In the abelian gauge, unit-charge magnetic monopoles appear, but multi-charge monopoles do not…

High Energy Physics - Lattice · Physics 2009-10-31 Hiroko Ichie , Hideo Suganuma