# Magnetic monopoles in pure $SU (2)$ Yang–Mills theory with a gauge-invariant mass

@article{Nishino2018MagneticMI, title={Magnetic monopoles in pure \$SU (2)\$ Yang–Mills theory with a gauge-invariant mass}, author={Shogo Nishino and Ryutaro Matsudo and Matthias Warschinke and Kei-ichi Kondo}, journal={Progress of Theoretical and Experimental Physics}, year={2018} }

In this paper, we show the existence of magnetic monopoles in the pure $SU(2)$ Yang--Mills theory even in absence of scalar fields when the gauge-invariant mass term is introduced. This result follows from the recent proposal for obtaining the gauge field configurations in the Yang-Mills theory from the solutions of the field equations in the "complementary" gauge-scalar model with the radial length of the scalar field being fixed. The gauge-invariant mass term is obtained through a change of…

## 4 Citations

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## References

SHOWING 1-10 OF 85 REFERENCES

Gauge-independent Brout–Englert–Higgs mechanism and Yang–Mills theory with a gauge-invariant gluon mass term

- PhysicsThe European Physical Journal C
- 2018

For the Yang–Mills theory coupled to a single scalar field in the fundamental representation of the gauge group, we present a gauge-independent description of the Brout–Englert–Higgs mechanism by…

Reformulating SU(N) Yang-Mills Theory Based on Change of Variables

- Physics
- 2008

We propose a new version of SU(N) Yang-Mills theory reformulated in terms of new field variables which are obtained by a nonlinear change of variables from the original Yang-Mills gauge field. The…

Magnetic monopoles in gauge field theories

- Physics
- 1978

An account is given of the new insight into the theory of magnetic monopoles originating from the work of 't Hooft (1976) and Polyakov (1974). Their magnetic monopole, associated with the…

Quark confinement and dual representation in (2+1)-dimensional pure Yang-Mills theory.

- Physics, MedicinePhysical review. D, Particles and fields
- 1996

Coulomb gas, where Debye screening holds for arbitrarily low temperatures, is shown in a self-consistent way that a mass gap is dynamically generated in the gauge theory and also determines the size of the monopoles.

Phase diagrams of lattice gauge theories with Higgs fields

- Physics
- 1979

We study the phase diagram of lattice gauge theories coupled to fixed-length scalar (Higgs) fields. We consider several gauge groups: Z/sub 2/, U(1), and SU(N). We find that when the Higgs fields…

Monopole condensation in SU ( 2 ) QCD

- Physics
- 2002

Based on the gauge independent decomposition of the non-Abelian gauge field into the dual potential and the valence potential, we calculate the one loop effective action of SU(2) QCD in an arbitrary…

Extended Gauge Theory and Its Mass Spectrum

- Physics
- 1981

Based on the recently proposed restricted gauge theory an extended gauge theory is constructed which takes into account not only the local structure but also the topological structure of a…

An Effective action for monopoles and knot solitons in Yang-Mills theory

- Physics
- 1999

Abstract By comparison with numerical results in the maximal Abelian projection of lattice Yang–Mills theory, it is argued that the nonperturbative dynamics of Yang Mills theory can be described by a…