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A detailed discussion is given of the disorder parameter for dual superconductivity of lattice gauge theories, introduced in a previous paper, and of its relation to other approaches. New lattice data are reported. Among other results, we…

High Energy Physics - Lattice · Physics 2010-04-06 A. Di Giacomo , G. Paffuti

We discover the origin of the pathologies of the disorder parameter used in previous papers to detect dual superconductivity of QCD vacuum, and we remove them by defining an improved disorder parameter. A check of the approach is made by…

High Energy Physics - Lattice · Physics 2012-03-06 Claudio Bonati , Guido Cossu , Massimo D'Elia , Adriano Di Giacomo

We construct a disorder parameter for dual superconductivity of the ground state of $U(1)$ gauge theory.

High Energy Physics - Lattice · Physics 2009-10-28 L. Del Debbio , A. Di Giacomo , G. Paffuti

We study dual superconductivity of the ground state of SU(2) gauge theory, in connection with confinement. We do that measuring on the lattice a disorder parameter describing condensation of monopoles. Confinement appears as a transition to…

High Energy Physics - Lattice · Physics 2008-11-26 A. Di Giacomo , B. Lucini , L. Montesi , G. Paffuti

A disorder parameter detecting dual superconductivty of the vacuum is used as a probe to characterize the confining properties of the phase diagram of two color QCD at finite temperature and density. We obtain evidence for the disappearing…

High Energy Physics - Lattice · Physics 2008-11-26 Simone Conradi , Alessio D'Alessandro , Massimo D'Elia

We demonstrate that the disorder parameter $<\mu>$ to detect dual superconductivity in the confining phase of QCD is the v.e.v. of a magnetically charged, Dirac like, gauge invariant operator $\mu$. We also show that the abelian projection…

High Energy Physics - Lattice · Physics 2007-05-23 A. Di Giacomo , G. Paffuti

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

The abelian projection in SU(N) gauge theories is discussed in detail, as well as the construction of a disorder parameter to study dual superconductivity as a mechanism for color confinement. If the ideas of the large N limit are correct,…

High Energy Physics - Lattice · Physics 2007-05-23 L. Del Debbio , A. Di Giacomo , B. Lucini , G. Paffuti

In this paper we produce evidence that confinement of colour is due to dual superconductivity of $QCD$ vacuum. To do that we put together results of old numerical simulations and results of more recent investigations. The starting point is…

High Energy Physics - Lattice · Physics 2026-02-11 Adriano Di Giacomo

A disorder parameter detecting dual superconductivity of the vacuum is measured across the chiral phase transition in full QCD with two flavours of dynamical staggered fermions. The observed behaviour is similar to the quenched case.

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

We study the confining properties of QCD with two colors across the finite density phase transition. A disorder parameter detecting dual superconductivity of the QCD vacuum is used as a probe for the confinement/deconfinement phase…

High Energy Physics - Lattice · Physics 2011-01-28 S. Conradi , A. D'Alessandro , M. D'Elia

In view of the presence of a superpotential, the dual of a gauge theory like SQCD contains two coupling parameters. The method of the Reduction of Couplings is used in order to express the parameter of the superpotential in terms of the…

High Energy Physics - Theory · Physics 2009-10-31 Reinhard Oehme

The condensation of monopoles (dual superconductivity) of QCD vacuum is reviewed. Direct evidence is produced that the system, in the confined phase, is a dual superconductor.

High Energy Physics - Lattice · Physics 2016-11-03 Adriano di Giacomo

We investigate the dual superconductivity mechanism in the exceptional group $G_2$. This is a centerless group (no 't Hooft flux vortices are allowed) and we check for the presence of a magnetic monopole condensate in the confined phase by…

High Energy Physics - Lattice · Physics 2008-11-26 G. Cossu , M. D'Elia , A. Di Giacomo , B. Lucini , C. Pica

Results about the phase structure of certain N=1 supersymmetric gauge theories, which have been obtained as a consequence of holomorphy and `electric-magnetic' duality, are shown to be in quantitative agreement with corresponding…

High Energy Physics - Theory · Physics 2016-09-06 Reinhard Oehme

In contrast to conventional s-wave superconductivity, unconventional (e.g. p or d-wave) superconductivity is strongly suppressed even by relatively weak disorder. Upon approaching the superconductor-metal transition, the order parameter…

Superconductivity · Physics 2015-01-27 A. Keles , A. V. Andreev , S. A. Kivelson , B. Z. Spivak

Evidence is discussed, from lattice simulations, that QCD vacuum is a dual superconductor in the confining phase, and undergoes a phase transition to normal at the deconfining temperature.

High Energy Physics - Theory · Physics 2007-05-23 A. Di Giacomo

We propose a characterization of zero temperature phases in disordered superconductors on the basis of the nature of quasiparticle transport. In three dimensional systems, there are two distinct phases in close analogy to the distinction…

Superconductivity · Physics 2009-10-31 S. Vishveshwara , T. Senthil , Matthew P. A. Fisher

We report on recent progress in understanding confinement of colour in $QCD$ as dual superconductivity of the vacuum. A gauge invariant version of the creation operator of monopoles is constructed whose vacuum expectation value is the order…

High Energy Physics - Lattice · Physics 2022-10-10 Adriano Di Giacomo

We report on evidence that confinement is related to dual superconductivity of the vacuum in full QCD, as in quenched QCD. The vacuum is a dual superconductor in the confining phase, whilst the U(1) magnetic symmetry is realized a la Wigner…

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