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The dual Meissner effect scenario of confinement is discussed by studying the low energy regime of SU(2) Yang-Mills in a maximal Abelian gauge. The Abelian projected effective action is computed perturbatively. This serves as an input for a…

High Energy Physics - Theory · Physics 2016-09-06 Filipe Freire

Starting from SU(2) Yang-Mills theory in 3+1 dimensions, we prove that the abelian-projected effective gauge theories are written in terms of the maximal abelian gauge field and the dual abelian gauge field interacting with monopole…

High Energy Physics - Theory · Physics 2009-10-30 Kei-ichi Kondo

We investigate the confinement-deconfinement phase transition at finite temperature of the SU(3) Yang-Mills(YM) theory on the lattice from a viewpoint of the dual superconductor picture based on the novel reformulation of the YM theory. In…

High Energy Physics - Lattice · Physics 2019-11-05 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato

First, we present a simple confining abelian pure gauge theory. Classically, its kinetic term is not positive definite, and it contains a simple UV regularized F^4 interaction. This provoques the formation of a condensate ~ F^2 such that,…

High Energy Physics - Theory · Physics 2011-09-13 U. Ellwanger , N. Wschebor

The question of the role of the center of the gauge group in the phenomenon of confinement in Yang-Mills theory is addressed. The investigation is performed from the most general perspective of considering all possible choices for the gauge…

High Energy Physics - Lattice · Physics 2015-06-25 Michele Pepe

We study the volume dependence of electric flux energies for SU(2) gauge theory with twisted boundary conditions. The curves interpolate smoothly between the perturbative semiclassicalresults and the Confinement regime. On the basis of our…

High Energy Physics - Lattice · Physics 2008-11-26 A. Gonzalez-Arroyo , P. Martinez

By making use of the Abelian projection method, a dual version of the SU(2)-gluodynamics with manifest monopole-like excitations, arising from the integration over singular gauge transformations, is formulated in the continuum limit. The…

High Energy Physics - Theory · Physics 2007-05-23 Dmitri Antonov , Dietmar Ebert

The dual superconductivity is a promising mechanism for quark confinement. We proposed the non-Abelian dual superconductivity picture for SU(3) Yang-Mills theory, and demonstrated the restricted field dominance (called conventionally…

High Energy Physics - Lattice · Physics 2014-03-18 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

We study the formulation of the Wilson renormalization group (RG) method for a non-Abelian gauge theory. We analyze the simple case of $SU(2)$ and show that the local gauge symmetry can be implemented by suitable boundary conditions for the…

High Energy Physics - Theory · Physics 2009-10-22 M. Bonini , M. D'Attanasio , G. Marchesini

We present recent results on quark confinement: in SU(3) Yang-Mills theory, confinement of fundamental quarks is obtained due to the dual Meissner effect originated from non-Abelian magnetic monopoles defined in a gauge-invariant way, which…

High Energy Physics - Theory · Physics 2015-06-11 Kei-Ichi Kondo , Akihiro Shibata , Toru Shinohara , Seikou Kato

We make progress towards a derivation of a low energy effective theory for SU(2) Yang-Mills theory. This low energy action is computed to 1-loop using the renormalization group technique, taking proper care of the Slavnov-Taylor identities…

High Energy Physics - Theory · Physics 2019-02-20 A. N. Efremov

In this paper we present a model of confinement based on an analogy with the confinement mechanism of the Schwarzschild solution of general relativity. Using recently discovered exact, Schwarzschild-like solutions of the SU(2)…

High Energy Physics - Theory · Physics 2015-06-26 Douglas Singleton , Atsushi Yoshida

It is shown that the renormalized finite temperature effective potential for continuum $SU(2)$ Yang-Mills theory develops a non-perturbative minimum for sufficiently strong coupling, i.e. below a critical temperature. The corresponding…

High Energy Physics - Theory · Physics 2022-02-23 K. Sailer , W. Greiner

The dual superconductivity is a promising mechanism for quark confinement. We have presented a new formulation of the Yang-Mills theory on the lattice that enables us to change the original non-Abelian gauge field into the new field…

High Energy Physics - Lattice · Physics 2017-01-16 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

The dual Meissner effect is the promising mechanism for quark confinement. We have proposed a new formulation of SU(N) Yang-Mills (YM) theory on a lattice, which can extract the dominant mode for quark confinement in the gauge independent…

High Energy Physics - Lattice · Physics 2012-04-26 Akihiro Shibata , Kei-Ichi Kondo , Toru Shinohara

The random vortex world-surface model is extended to the gauge groups SU(4) and Sp(2). Compared to the SU(2) and SU(3) models studied previously, which reproduce the infrared properties of the corresponding Yang-Mills theories on the basis…

High Energy Physics - Lattice · Physics 2008-11-26 M. Engelhardt , B. Sperisen

An effective low energy action for Yang-Mills theories is proposed, which invokes an additional auxiliary field $H_{\mu \nu}$ for the field strength $F_{\mu \nu}$. For a particular relation between the parameters of this action a gluon…

High Energy Physics - Phenomenology · Physics 2009-10-30 Ulrich Ellwanger

Electromagnetic and strong hadron processes at low energies are considered in the renormalizable model with the spontaneously broken $U_0(1)\times U(1)\times SU(2)$ gauge symmetry. Calculated radiative widths of vector mesons and effective…

High Energy Physics - Phenomenology · Physics 2011-03-29 V. Beylin , V. Kuksa , G. Vereshkov

The dual superconductivity is a promising mechanism for quark confinement. We have proposed the non-Abelian dual superconductivity picture for SU(3) Yang-Mills theory, and showed the restricted field dominance (called conventionally Abelian…

High Energy Physics - Lattice · Physics 2014-03-18 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

We observe a strong correlation between the decrease in the number of action density peaks in SU(2) Yang-Mills configurations with cooling and that of the string tension. The nature and distribution of these peaks is investigated. The…

High Energy Physics - Lattice · Physics 2008-11-26 A. Gonzalez-Arroyo , A. Montero
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