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We investigate the finite-temperature SU(2) Savvidy model under an imaginary angular velocity. Employing the background-field method, we derive the one-loop effective potential and analyze both its real and imaginary parts. We demonstrate…

High Energy Physics - Phenomenology · Physics 2026-02-06 Hao-Lei Chen , Xu-Guang Huang

We study the effective monopole action obtained in the Maximal Abelian projection of quenched SU(2) lattice QCD. We determine the quadratic part of the lattice action using analytical blocking from continuum dual superconductor model to the…

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

We study numerically the length distributions of the infrared monopole clusters in pure SU(2) QCD. These distributions are Gaussian for all studied blocking steps of monopoles, lattice volumes and lattice coupling constant. We also…

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

I construct an isotropic, gauge invariant monopole condensate in SU(2) QCD. It provides a suitable, gauge-invariant vacuum for the dual-Meissner effect to provide QCD colour confinement without violating the isotropy of real space.

High Energy Physics - Theory · Physics 2008-02-28 M. L. Walker

To find a perfect lattice action in terms of monopole action on the dual lattice, we performed simulations of a monopole effective action obtained numerically from vacuum configurations in SU(2) QCD. Although the Polyakov loop behavior near…

High Energy Physics - Lattice · Physics 2009-10-28 Tsuneo Suzuki , Yoshimi Matsubara , Shinji Ejiri , Kazuya Yamada , Natsuko Arasaki

Phenomenological evidence and analytic approximations to the QCD ground state suggest a complex gluon condensate structure. Exclusion of elementary fermion excitations by the generation of infinite mass corrections is a consequence. In…

High Energy Physics - Theory · Physics 2007-05-23 R. Vilela Mendes

We calculate a one loop effective action of SU(2) QCD in the presence of the monopole background, and find a possible connection between the resulting QCD effective action and a generalized Skyrme-Faddeev action of the non-linear sigma…

High Energy Physics - Theory · Physics 2009-11-07 Y. M. Cho , H. W. Lee , D. G. Pak

Using the SU(2) lattice QCD, we formulate the dual Wilson loop and study the dual Higgs mechanism induced by monopole condensation in the maximally abelian (MA) gauge, where QCD is reduced into an abelian gauge theory including the electric…

High Energy Physics - Lattice · Physics 2007-05-23 Atsunori Tanaka , Hideo Suganuma

We determine the critical strength of the effective electric coupling for the onset of Bose condensation of stable magnetic monopoles and antimonopoles in SU(2) Yang-Mills thermodynamics. Two scenarios are considered: infinitely fast and…

High Energy Physics - Theory · Physics 2012-06-01 Ralf Hofmann

We study the confinement physics in QCD in the maximally abelian (MA) gauge using the SU(2) lattice QCD. To clarify the origin of abelian dominance for the long-range physics, we study the charged-gluon propagator in the lattice QCD, and…

High Energy Physics - Lattice · Physics 2008-11-26 Hideo Suganuma , Hiroko Ichie , Atsunori Tanaka , Kazuhisa Amemiya

We obtain an almost perfect monopole action numerically after abelian projection in pure SU(3) lattice QCD. Performing block-spin transformations on the dual lattice, the action fixed depends only on a physical scale b. Monopole…

High Energy Physics - Lattice · Physics 2009-10-31 K. Yamagishi , S. Kitahara , T. Suzuki

We consider one-loop effective action of SU(3) QCD with a most general constant chromomagnetic (chromoelectric) background which has two independent Abelian field components. The effective potential with a pure magnetic background has a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Y. M. Cho , J. H. Kim , D. G. Pak

We show how to calculate the effective potential of SU(3) QCD which tells that the true minimum is given by the monopole condensation. To do this we make the gauge independent Weyl symmetric Abelian decomposition of the SU(3) QCD which…

High Energy Physics - Theory · Physics 2019-07-24 Y. M. Cho , Franklin H. Cho

New evidence is discussed of monopole condensation in the vacuum of SU(2) and SU(3) gauge theories. Monopoles defined by different abelian projections do condense in the transition to the confined phase and show the same behavior. For SU(2)…

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

We compute one-loop effective action of magnetic monopole in three-dimensional electrodynamics of massless bosons and fermions and find that it contains an infrared logarithm. So, when the number of massless matter species is sufficiently…

High Energy Physics - Phenomenology · Physics 2009-10-22 S. Yu. Khlebnikov

The evidence is reviewed for the mechanism of colour confinement in QCD by dual superconductivity of the ground state, i.e. by condensation of monopoles.

High Energy Physics - Lattice · Physics 2008-11-26 A. Di Giacomo

The magnetic monopole in euclidean pure SU(2) gauge theory is investigated using a background field method on the lattice. With Monte Carlo methods we study the mass of the monopole in the full quantum theory. The monopole background under…

High Energy Physics - Lattice · Physics 2009-10-22 J. Smit , A. J. Van Der Sijs

We review the recent results in the physics of the magnetic monopoles in gluodynamics and a dual formulation of non-Abelian theories, relevant to the physics of the confinement. It occurs that the dual gluon is a U(1) gauge boson, despite…

High Energy Physics - Lattice · Physics 2017-08-23 M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov , V. I. Zakharov

We review recent results from lattice on topological aspects of QCD: most of the results refer to monopoles and to instantons. We discuss in detail the evidence for condensation of monopoles in the vacuum and confinement of colour by dual…

High Energy Physics - Lattice · Physics 2009-10-28 A. Di Giacomo

We study the properties of the QCD vacuum in the dual Ginzburg-Landau theory, where QCD-monopole condensation leads to the linear confinement potential. Using the effective potential, we find monopole dominance for chiral-symmetry breaking.…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Umisedo , H. Toki , H. Suganuma