# Dual superconductivity, monopole condensation and confining string in low-energy Yang-Mills theory. Part I.

@article{Kondo2000DualSM, title={Dual superconductivity, monopole condensation and confining string in low-energy Yang-Mills theory. Part I.}, author={Kei-ichi Kondo}, journal={arXiv: High Energy Physics - Theory}, year={2000} }

We show that the QCD vacuum (without dynamical quarks) is a dual superconductor at least in the low-energy region in the sense that monopole condensation does really occur. In fact, we derive the dual Ginzburg-Landau theory (i.e., dual Abelian Higgs model) directly from the SU(2) Yang-Mills theory by adopting the maximal Abelian gauge. The dual superconductor can be on the border between type II and type I, excluding the London limit. The masses of the dual Abelian gauge field is expressed by…

## 10 Citations

A Confining String Theory Derivable from Yang-Mills Theory due to a Novel Vacuum Condensate

- Physics
- 2002

We discuss within the weak-field approximation and the derivative expansion how the area law of the Wilson loop follows directly from the vacuum condensate of mass dimension 2, i.e., simultaneous…

Vacuum condensates, effective gluon mass and color confinement in a new reformulation of QCD

- Physics
- 2003

We propose a new reformulation of Yang-Mills theory in which three- and four-gluon self-interactions are eliminated at the price of introducing a sufficient number of auxiliary fields. We discuss the…

Effective Abelian-Higgs theory from SU(2) gauge field theory

- Physics
- 2004

In the present work we show that it is possible to arrive at a Ginzburg-Landau (GL) like equation from pure SU(2) gauge theory. This has a connection to the dual superconducting model for color…

Vacuum condensates, effective gluon mass and color confinement in the large $N_c$ expansion

- Physics
- 2003

We propose a new reformulation of Yang-Mills theory in which three- and four-gluon self-interactions are eliminated at the price of introducing a sufficient number of auxiliary fields. We discuss the…

Nonperturbative calculational method in quantum field theory

- Physics
- 2004

An approximate procedure for performing nonperturbative calculations in quantum field theories is presented. The focus will be quantum non-Abelian gauge theories with the goal of understanding some…

Quark confinement and gauge invariant monopoles in SU(2) YM

- Physics
- 2006

We give a short review of recently obtained results on a new lattice formulation of the non-linear change of variables which was once called the Cho--Faddeev--Niemi decomposition in SU(2) Yang-Mills…

## References

SHOWING 1-10 OF 74 REFERENCES

Renormalizable Abelian-Projected Effective Gauge Theory Derived from Quantum Chromodynamics

- Physics
- 2001

We show that an effective Abelian gauge theory can be obtained as a renormalizable theory from QCD in the maximal Abelian gauge. The derivation improves in a systematic manner the previous version…

Curvature expansion for the background-induced gluodynamics string

- Physics
- 1996

Abstract Using the cumulant expansion for an averaged Wilson loop we derive an action of the gluodynamics string in the form of a series in powers of the correlation length of the vacuum. In the…

High Energy Physics High Energy Physics

- Physics
- 2002

Author This document was written in March 1999 by David M. Harrison, Department of Physics, University of Toronto, mailto:harrison@physics.utoronto.ca. This is version 1.10, date (m/d/y) 04/05/02.…

Strings and QCD

- Physics
- 1992

Is large-$N$ QCD equivalent to a string theory? Maybe, maybe not. I review various attempts to answer the question.

Table of Integrals, Series, and Products

- Mathematics
- 1943

Introduction. Elementary Functions. Indefinite Integrals of Elementary Functions. Definite Integrals of Elementary Functions. Indefinite Integrals of Special Functions. Definite Integrals of Special…

Topology and geometry for physicists

- Physics
- 1983

Applications from condensed matter physics, statistical mechanics and elementary particle theory appear in the book. An obvious omission here is general relativity--we apologize for this. We…