# SU(2) calorons and magnetic monopoles

@article{Lee1998SU2CA, title={SU(2) calorons and magnetic monopoles}, author={Kimyeong M. Lee and Changhai Lu}, journal={Physical Review D}, year={1998}, volume={58}, pages={025011} }

We investigate the self-dual Yang-Mills gauge configurations on R{sup 3}{times}S{sup 1} when the gauge symmetry SU(2) is broken to U(1) by the Wilson loop. We construct the explicit field configuration for a single instanton by the Nahm method and show that an instanton is composed of two self-dual monopoles of opposite magnetic charge. We normalize the moduli space metric of an instanton and study various limits of the field configuration and its moduli space metric. {copyright} {ital 1998…

## Figures from this paper

## 229 Citations

### Calorons and constituent monopoles

- Mathematics
- 2022

. We study anti-self-dual Yang–Mills instantons on R 3 × S 1 , also known as calorons, and their behaviour under collapse of the circle factor. In this limit, we make explicit the decomposition of…

### Gluino zero-modes for non-trivial holonomy calorons

- Physics
- 2006

We couple fermion fields in the adjoint representation (gluinos) to the SU(2) gauge field of unit charge calorons defined on R 3 × S1. We compute corresponding zero- modes of the Dirac equation.…

### Constructing SU(N) fractional instantons

- MathematicsJournal of High Energy Physics
- 2020

Abstract
We study self-dual SU(N) gauge field configurations on the 4 torus with twisted boundary conditions, known as fractional instantons. Focusing on the minimum non-zero action case, we…

### Symmetric calorons

- Physics
- 2008

We construct SU(2) calorons, with non-trivial holonomy, instanton charge 2 and magnetic charge 0 or -1; these calorons have two constituent monopoles, with charges (2, 2) or (2, 1). Our calorons are…

### Instanton Partons in 5-dim SU(N) Gauge Theory

- Physics
- 2011

The circle compactification of the 6-dim (2,0) superconformal theory of AN 1 type leads the 5-dim SU(N) maximally supersymmetric gauge theory. Instanton solitons embody Kaluza-Klein modes and are…

### SU(N) caloron measure and its relation to instantons

- Physics
- 2005

Calorons of the SU(N) gauge group with nontrivial holonomy, i.e. periodic instantons with arbitrary eigenvalues of the Polyakov line at spatial infinity, can be viewed as composed of N…

### Calorons in the Weyl gauge

- Physics
- 2001

We demonstrate by explicit construction that while the untwisted Harrington-Shepard caloron A{sub {mu}} is manifestly periodic in Euclidean time, with a period {beta}=1/T, when transformed to the…

## References

SHOWING 1-10 OF 29 REFERENCES

### Phys. Rev. D

- Phys. Rev. D
- 1997

### Phys

- Rev. D 56, 3711
- 1997

### Phys

- Rev. D54, 1633
- 1996

### Phys

- Lett. B 376, 97 (1996); J P. Gauntlett and D.A. Lowe, Nucl. Phys. B 472, 194
- 1996

### Nucl. Phys. B

- Nucl. Phys. B
- 1981

### Phys

- Lett. B 90, 413 (1980); N.J. Hitchin, Commun. Math. Phys. 89, 145 (1983); E. Corrigan and P. Goddard, Ann. Phys. 154, 253 (1984); H. Nakajima, in ‘Einstein Metrics and Yang-Mills Connections,’ T. Mabuch et.al. eds.
- 1993