Instantons or monopoles? Dyons

Bornyakov, V.; Schierholz, G.

doi:10.1016/0370-2693(96)00796-4

Instantons or monopoles? Dyons

V. Bornyakov
(
- Serpukhov, IHEP
)
,
G. Schierholz
(
- DESY and
- Julich, NIC
)

Apr, 1996

7 pages

Published in:

Phys.Lett.B 384 (1996) 190-196,
Phys.Lett.B 384 (1996) 190-196

Published: Feb 12, 1999

e-Print:

hep-lat/9605019 [hep-lat]

DOI:

10.1016/0370-2693(96)00796-4 (publication)

Report number:

DESY-96-069,
HLRZ-96-22

View in:

pdf

reference search69 citations

Citations per year

Abstract: (Elsevier B.V.)

Non-abelian gauge theories can be cast into abelian gauge theories with monopoles. We ask what becomes of the instantons after abelian projection. Instantons are found to consist of closed dyon loops. It is shown that the electric charge of the dyons is quantized. The implication of this result for the dynamics of the Yang-Mills vacuum is briefly discussed.

Note:

13 pages, uuencoded Z-compressed postscript file. Also available from http://www.desy.de/pub/preprints/desy/1996 Report-no: DESY 96-069

gauge field theory: SU(2)
gauge: abelian
field equations: instanton
field equations: monopole
postulated particle: dyon
charge: quantization
lattice field theory
numerical calculations: Monte Carlo

References(39)

Figures(0)

[1]

Pseudoparticle Solutions of the Yang-Mills Equations

A.A. Belavin
(
- Landau Inst.
)
,
Alexander M. Polyakov
(
- Landau Inst.
)
,
A.S. Schwartz
(
- Landau Inst.
)
,
Yu.S. Tyupkin
(
- Landau Inst.
)

- Phys.Lett.B 59 (1975) 85-87,
- Also in *Rebbi, C. (ed.), Soliani, G. (ed.): Solitons and Particles*, 739-741, and in *Mohapatra, R. N. ( Ed.), Lai, C. H. ( Ed.): Gauge Theories Of Fundamental Interactions*, 371-373,
•
DOI:
- 10.1016/0370-2693(75)90163-X

[2]

Symmetry Breaking Through Bell-Jackiw Anomalies

Gerard 't Hooft
(
- Harvard U.
)

- Phys.Rev.Lett. 37 (1976) 8-11,
•
DOI:
- 10.1103/PhysRevLett.37.8

[2]

Computation of the Quantum Effects Due to a Four-Dimensional Pseudoparticle

Gerard 't Hooft
(
- Harvard U.
)

- Phys.Rev.D 14 (1976) 3432-3450,
- Phys.Rev.D 18 (1978) 2199 (erratum),
•
DOI:
- 10.1103/PhysRevD.14.3432

[3]

Current Algebra Theorems for the U(1) Goldstone Boson

Edward Witten
(
- Harvard U.
)

- Nucl.Phys.B 156 (1979) 269-283
•
DOI:
- 10.1016/0550-3213(79)90031-2

[3]

U(1) Without Instantons

G. Veneziano
(
- CERN
)

- Nucl.Phys.B 159 (1979) 213-224
•
DOI:
- 10.1016/0550-3213(79)90332-8

[4]

Scaling Behavior and Volume Dependence of the SU(2) Topological Susceptibility

M. Kremer
(
- Mainz U., Inst. Phys.
)
,
Andreas S. Kronfeld
(
- DESY
)
,
M.L. Laursen
(
- Mainz U., Inst. Phys. and
- Bohr Inst.
)
,
G. Schierholz
(
- DESY and
- Kiel U.
)
,
C. Schleiermacher
(
- Hannover U.
)

et al.

- Nucl.Phys.B 305 (1988) 109-125
•
DOI:
- 10.1016/0550-3213(88)90687-6

[4]

Boulder preprint

T. DeGrand
,
A. Hasenfratz
,
D. Zhu

[5]

Monopole Condensation and Color Confinement

Andreas S. Kronfeld
(
- DESY
)
,
M.L. Laursen
(
- Nordita
)
,
G. Schierholz
(
- DESY and
- Kiel U.
)
,
U.J. Wiese
(
- Hamburg U.
)

- Phys.Lett.B 198 (1987) 516-520
•
DOI:
- 10.1016/0370-2693(87)90910-5

[6]

Monopoles and confinement

Tsuneo Suzuki
(
- Kanazawa U.
)

- Nucl.Phys.B Proc.Suppl. 30 (1993) 176-183,
- Amsterdam Lattice 1992:0176-183
•
DOI:
- 10.1016/0920-5632(93)90187-B

[6]

Pisa preprint

A. Di Giacomo

[7]

A.ZichichiPalermo (1975)

G. 't Hooft

[7]

The Topological Mechanism for Permanent Quark Confinement in a Nonabelian Gauge Theory

Gerard 't Hooft
(
- Utrecht U.
)

- Phys.Scripta 25 (1982) 133-142,
- Phys. Scr. 25 ( 1982) 133-142
•
DOI:
- 10.1088/0031-8949/25/1B/005

[7]

Vortices and Quark Confinement in Nonabelian Gauge Theories

S. Mandelstam
(
- UC, Berkeley
)

- Phys.Rept. 23 (1976) 245-249,
- In *Gervais, J.L. (Ed.), Jacob, M. (Ed.): Non-linear and Collective Phenomena In Quantum Physics*, 12-16
•
DOI:
- 10.1016/0370-1573(76)90043-0

[8]

Toward the Quantitative Theory of the Topological Effects in Gauge Field Theories. 1. Phenomenology and the Method of Collective Coordinates

Edward V. Shuryak
(
- Novosibirsk, IYF
)

- Nucl.Phys.B 302 (1988) 559-573
•
DOI:
- 10.1016/0550-3213(88)90188-5

[9]

Abelian dominance of chiral symmetry breaking on SU(2) lattice

O. Miyamura
(
- Hiroshima U.
)

- Nucl.Phys.B Proc.Suppl. 42 (1995) 538-540,
- Nucl. Phys. B, Proc. Suppl. 42 (1995) 538-540. In *Bielefeld 1994, lattice 94* 538-540
•
DOI:
- 10.1016/0920-5632(95)00305-S

[9]

Abelian dominance of chiral symmetry breaking in lattice QCD

Frank X. Lee
(
- TRIUMF
)
,
R.M. Woloshyn
(
- TRIUMF
)
,
Howard D. Trottier
(
- Simon Fraser U.
)

- Phys.Rev.D 53 (1996) 1532-1536
•
e-Print:
- hep-lat/9509028
•
DOI:
- 10.1103/PhysRevD.53.1532

[10]

Topology of the Gauge Condition and New Confinement Phases in Nonabelian Gauge Theories

Gerard 't Hooft
(
- Caltech
)

- Nucl.Phys.B 190 (1981) 455-478
•
DOI:
- 10.1016/0550-3213(81)90442-9

[11]

On the existence of a first order phase transition at small vacuum angle theta in the CP**3 model

S. Olejnik
(
- Vienna, Tech. U.
)
,
G. Schierholz
(
- DESY and
- Julich, NIC
)

- Nucl.Phys.B Proc.Suppl. 34 (1994) 709-711,
- In *Dallas 1993, Proceedings, Lattice '93* 709-711. (Nucl. Phys. B, Proc. Suppl. 34 (1994) 709-711). and Hamburg DESY - DESY 93-177 (93/12,rec.Dec.) 8 p. and Wien Tech. Univ. - IK-TUW-93-11-401 (93/12,rec.Dec.) 8 p
•
e-Print:
- hep-lat/9312019
•
DOI:
- 10.1016/0920-5632(94)90490-1