Quark confinement in 2+1 dimensional pure Yang-Mills theory

Pramana ◽  
1997 ◽  
Vol 49 (1) ◽  
pp. 71-80
Author(s):  
Spenta R Wadia
Keyword(s):  
Quark Confinement ◽  
Yang Mills

Mass gap and quark confinement due to a novel vacuum condensate in Yang-Mills theory

2003 ◽  
Vol 721 ◽  
pp. C891-C894
Author(s):  
K.-I. Kondo ◽  
T. Iamai ◽  
H. Kato ◽  
T. Murakami ◽  
T. Shinohara
Keyword(s):  
Quark Confinement ◽  
Vacuum Condensate ◽  
Yang Mills ◽  
Mass Gap

scholarly journals Reformulations of the Yang-Mills theory toward quark confinement and mass gap

2016 ◽  
Author(s):  
Kei-Ichi Kondo ◽  
Seikou Kato ◽  
Akihiro Shibata ◽  
Toru Shinohara
Keyword(s):  
Quark Confinement ◽  
Yang Mills ◽  
Mass Gap

scholarly journals Magnetic condensation, Abelian dominance, and instability of Savvidy vacuum in Yang-Mills theory

2005 ◽  
Vol 20 (19) ◽  
pp. 4609-4614 ◽  
Author(s):  
Kei-Ichi KONDO
Keyword(s):  
Magnetic Monopoles ◽  
Quark Confinement ◽  
Mass Generation ◽  
Dynamical Mass ◽  
Yang Mills ◽  
Dynamical Mass Generation

We propose a novel type of color magnetic condensation originating from magnetic monopoles so that it provides the mass of off-diagonal gluons in the Yang-Mills theory. This dynamical mass generation enables us to explain the infrared Abelian dominance and monopole dominance by way of a non-Abelian Stokes theorem, which supports the dual superconductivity picture of quark confinement. Moreover, we show that the instability of Savvidy vacuum disappears by sufficiently large color magnetic condensation.

Two-dimensional Yang-Mills theory: A model of quark confinement

1976 ◽  
Vol 13 (6) ◽  
pp. 1649-1669 ◽  
Author(s):  
Curtis G. Callan ◽  
Nigel Coote ◽  
David J. Gross
Keyword(s):  
Two Dimensional ◽  
Quark Confinement ◽  
Yang Mills

scholarly journals A FORMULATION OF THE YANG–MILLS THEORY AS A DEFORMATION OF A TOPOLOGICAL FIELD THEORY BASED ON THE BACKGROUND FIELD METHOD AND QUARK CONFINEMENT PROBLEM

2001 ◽  
Vol 16 (07) ◽  
pp. 1303-1346 ◽  
Author(s):  
KEI-ICHI KONDO
Keyword(s):  
Field Theory ◽  
Magnetic Monopole ◽  
Background Field ◽  
Field Method ◽  
Quark Confinement ◽  
Mass Generation ◽  
Yang Mills ◽  
Topological Quantum ◽  
Gauge Fixing ◽  
Background Field Method

By making use of the background field method, we derive a novel reformulation of the Yang–Mills theory which was proposed recently by the author to derive quark confinement in QCD. This reformulation identifies the Yang–Mills theory with a deformation of a topological quantum field theory. The relevant background is given by the topologically nontrivial field configuration, especially, the topological soliton which can be identified with the magnetic monopole current in four dimensions. We argue that the gauge fixing term becomes dynamical and that the gluon mass generation takes place by a spontaneous breakdown of the hidden supersymmetry caused by the dimensional reduction. We also propose a numerical simulation to confirm the validity of the scheme we have proposed. Finally we point out that the gauge fixing part may have a geometric meaning from the viewpoint of global topology where the magnetic monopole solution represents the critical point of a Morse function in the space of field configurations.

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