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Recently evidence appeared that instantons and monopoles have a certain local correlation in four-dimensional pure $SU(2)$ and $SU(3)$ gauge theory. We visualize several specific gauge field configurations and show directly that there is an…

高能物理 - 格点 · 物理学 2009-10-28 M. Feurstein , H. Markum , St. Thurner

We analyze the interplay of topological objects in four-dimensional QCD on the lattice. The distributions of color magnetic monopoles in the maximum abelian gauge are computed around instantons in both pure and full QCD. We find an enhanced…

高能物理 - 格点 · 物理学 2007-05-23 M. Feurstein , H. Markum , S. Thurner

We analyze the interplay of topological objects in four dimensional QCD. The distributions of color magnetic monopoles obtained in the maximum abelian gauge are computed around instantons in both pure and full QCD. We find an enhanced…

高能物理 - 格点 · 物理学 2007-05-23 S. Thurner , M. Feurstein , H. Markum

We analyze the relation between instantons and abelian projected monopoles in both phases of pure QCD by calculating local correlation functions between topological charge densities and monopole densities. On an $8^{3} \times 4$ lattice, it…

高能物理 - 格点 · 物理学 2009-10-28 H. Markum , W. Sakuler , S. Thurner

We study the correlation between instantons and QCD-monopoles both in the lattice gauge theory and in the multi-instanton system using the maximally abelian gauge. First, we find the existence of an almost linear correlation between the…

We study the relation between instantons and monopoles in the abelian gauge. First, we investigate the monopole in the multi-instanton solution in the continuum Yang-Mills theory using the Polyakov gauge. At a large instanton density, the…

高能物理 - 格点 · 物理学 2009-10-28 H. Suganuma , S. Sasaki , H. Ichie , F. Araki , O. Miyamura

We study the Abelian projection of SU(2) instantons in the Maximally Abelian gauge. We find that in this gauge an isolated instanton produces a closed monopole loop within its core and the size of this loop increases with the core size. We…

高能物理 - 格点 · 物理学 2009-10-28 A. Hart , M. Teper

We study the nonperturbative QCD in terms of topological objects, i.e., QCD-monopoles and instantons. In the 't Hooft abelian gauge, QCD is reduced into an abelian gauge theory with QCD-monopoles, and the confinement mechanism can be…

高能物理 - 唯象学 · 物理学 2007-05-23 H. Suganuma , F. Araki , M. Fukushima , H. Ichie , Y. Koma , S. Sasaki , A. Tanaka , H. Toki , S. Umisedo

The correlation between instantons and QCD-monopoles is studied both in the lattice gauge theory and in the continuum theory. From a simple topological consideration, instantons are expected to live only around the QCD-monopole trajectory…

高能物理 - 唯象学 · 物理学 2008-02-03 H. Suganuma , K. Itakura , H. Toki , O. Miyamura

We review the physics of topological objects in QCD. Topics include: solitons, vortices, magnetic monopoles, instantons, (effective theories of) confinement.

高能物理 - 理论 · 物理学 2007-05-23 Gerard 't Hooft , Falk Bruckmann

We show that the instantons induce the abelian monopoles in the Maximal Abelian Projection of $SU(2)$ gluodynamics. As an example we consider the case of one instanton and the case of a set of instantons arranged along a straight line. The…

高能物理 - 理论 · 物理学 2008-02-03 M. N. Chernodub , F. V. Gubarev

We analyze topological objects in pure QCD in the presence of external quarks by calculating the distributions of instanton and monopole densities around static color sources. We find a suppression of the densities close to external sources…

高能物理 - 理论 · 物理学 2016-11-03 St. Thurner , H. Markum , W. Sakuler

Many quantum field theories in one, two and four dimensions possess remarkable limits in which the instantons are present, the anti-instantons are absent, and the perturbative corrections are reduced to one-loop. We analyze the…

高能物理 - 理论 · 物理学 2007-05-23 E. Frenkel , A. Losev , N. Nekrasov

This study is part of a research program aimed to investigate the relations between instantons, monopoles, and chiral symmetry breaking. Monopoles are important 3-dimensional topological configurations existing in QCD, which are believed to…

高能物理 - 格点 · 物理学 2015-03-31 Adriano Di Giacomo , Masayasu Hasegawa

This is a brief summary of our studies of quantum field theories in a special limit in which the instantons are present, the anti-instantons are absent, and the perturbative corrections are reduced to one-loop. We analyze the corresponding…

高能物理 - 理论 · 物理学 2008-11-26 E. Frenkel , A. Losev , N. Nekrasov

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…

高能物理 - 格点 · 物理学 2009-10-31 Hiroko Ichie , Hideo Suganuma

The correlation between instantons and QCD-monopoles is studied both in the lattice gauge theory and in the continuum theory. An analytical study in the Polyakov-like gauge, where $A_4(x)$ is diagonalized, shows that the QCD-monopole…

高能物理 - 格点 · 物理学 2009-10-28 Hideo Suganuma , Atsunori Tanaka , Shoichi Sasaki , Osamu Miyamura

I start by giving a brief overview over new developments in the area of confinement and topology. As an example for the interrelations between topological objects, instantons at finite temperature are discussed. Then I focus on new insights…

高能物理 - 格点 · 物理学 2008-11-26 Falk Bruckmann

The confinement mechanism in the nonperturbative QCD is studied in terms of topological excitation as QCD-monopoles and instantons. In the 't Hooft abelian gauge, QCD is reduced into an abelian gauge theory with monopoles, and the QCD…

高能物理 - 格点 · 物理学 2009-10-30 Hideo Suganuma , Masahiro Fukushima , Hiroko Ichie , Atsunori Tanaka

Correlation between instantons and QCD-monopoles is studied in the abelian-gauge-fixed QCD. From a simple topological consideration, instantons are expected to appear only around the QCD-monopole trajectory in the abelian-dominating system.…

高能物理 - 理论 · 物理学 2008-02-03 H. Suganuma , K. Itakura , H. Toki
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