Fluctuations and stability of the t'Hooft-Polyakov monopole

Baacke, J.

doi:10.1007/BF01625898

Fluctuations and stability of the t'Hooft-Polyakov monopole

J. Baacke
(
- Dortmund U.
)

Dec, 1990

13 pages

Published in:

Z.Phys.C 53 (1992) 399-401

DOI:

10.1007/BF01625898

Report number:

DO-TH-90-17

View in:

AMS MathSciNet

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Abstract: (Springer)

We obtain the equations for the quantum fluctuations of gauge and Higgs fields in the background of a 't Hooft-Polyakov monopole. The integration of these equations at frequency zero provides a check for the stability of the classical solution according to the Jacobi criterion. The numerical analysis shows that the monopole is indeed stable against spherical and non-spherical fluctuations.

gauge field theory: SO(3)
spontaneous symmetry breaking
Higgs model
field equations: monopole
perturbation theory
stability
zero mode
numerical calculations

References(23)

Figures(0)

Magnetic Monopoles in Unified Gauge Theories

Gerard 't Hooft
(
- CERN
)

- Nucl.Phys.B 79 (1974) 276-284,
•
DOI:
- 10.1016/0550-3213(74)90486-6

- Nucl.Phys.B 105 156

Particle Spectrum in Quantum Field Theory

Alexander M. Polyakov
(
- Landau Inst.
)

- JETP Lett. 20 (1974) 194-195,
- Pisma Zh.Eksp.Teor.Fiz. 20 (1974) 430-433,

New Developments in the Theory of Magnetic Monopoles

P. Goddard
(
- Cambridge U.
)
,
David I. Olive
(
- CERN and
- Imperial Coll., London
)

- Rept.Prog.Phys. 41 (1978) 1357
•
DOI:
- 10.1088/0034-4885/41/9/001

QUANTUM CORRECTION TO MONOPOLE MASS

V.G. Kiselev
(
- Minsk, Inst. Phys.
)
,
K.G. Selivanov
(
- Moscow, ITEP
)

- Phys.Lett.B 213 (1988) 165-167
•
DOI:
- 10.1016/0370-2693(88)91018-0

Bound States of a Gauge Boson by a Magnetic Monopole

Hidenori Sonoda
(
- Caltech
)

- Phys.Lett.B 143 (1984) 142-146
•
DOI:
- 10.1016/0370-2693(84)90821-9

Numerical Evaluation of the One Loop Effective Action in Static Backgrounds With Spherical Symmetry

J. Baacke
(
- Dortmund U.
)

- Z.Phys.C 47 (1990) 263-268
•
DOI:
- 10.1007/BF01552348

Stability and Instability of the Wu-Yang Solution of Yang-Mills Field Equation

Tamiaki Yoneya
(
- City Coll., N.Y.
)

- Phys.Rev.D 16 (1977) 2567
•
DOI:
- 10.1103/PhysRevD.16.2567

Concept of Nonintegrable Phase Factors and Global Formulation of Gauge Fields

Tai Tsun Wu
(
- Harvard U.
)
,
Chen Ning Yang
(
- SUNY, Stony Brook
)

- Phys.Rev.D 12 (1975) 3845-3857,
- Also in *Yang, C.N.: Selected Papers 1945-1980*, 460-472,
•
DOI:
- 10.1103/PhysRevD.12.3845

Dirac Monopole Without Strings: Monopole Harmonics

Tai Tsun Wu
(
- Harvard U.
)
,
Chen Ning Yang
(
- SUNY, Stony Brook
)

- Nucl.Phys.B 107 (1976) 365,
- In *Yang, C.n.: Selected Papers 1945-1980*, 493-508. ( Nucl. Phys. B107 ( 1976) 365-380) and State Univ. New York Stony Brook - ITP-SB-76-05 (76,REC.FEB.) 30 P. (602076) (SEE BOOK INDEX)
•
DOI:
- 10.1016/0550-3213(76)90143-7

An Exact Classical Solution for the 't Hooft Monopole and the Julia-Zee Dyon

M.K. Prasad
(
- Yale U.
)
,
Charles M. Sommerfield
(
- Yale U.
)

- Phys.Rev.Lett. 35 (1975) 760-762
•
DOI:
- 10.1103/PhysRevLett.35.760

Stability of Classical Solutions

E.B. Bogomolny
(
- Landau Inst.
)

- Sov.J.Nucl.Phys. 24 (1976) 449,
- Yad.Fiz. 24 (1976) 861-870

- Phys.Rev.D 15 554

- Phys.Rev.D 21 253

Stability Analysis for Singular Nonabelian Magnetic Monopoles

Richard A. Brandt
(
- New York U.
)
,
Filippo Neri
(
- New York U.
)

- Nucl.Phys.B 161 (1979) 253-282
•
DOI:
- 10.1016/0550-3213(79)90211-6

STABILITY OF SU(2) MONOPOLE IN THE PRESENCE OF CHIRAL FERMIONS ANALYZED ON COMPUTERS

H. Bohr
(
- ICTP, Trieste and
- SISSA, Trieste
)
,
I. Khan
(
- ICTP, Trieste and
- INFN, Trieste
)

- Nuovo Cim.A 90 (1985) 66
•
DOI:
- 10.1007/BF02734947

A Nonlinear field theory

T.H.R. Skyrme
(
- Harwell, AERE
)

- Proc.Roy.Soc.Lond.A 260 (1961) 127-138,
- Also in *Brown, G.E. (ed.): Selected papers of Tony Hilton Royle Skyrme* 195-206
•
DOI:
- 10.1098/rspa.1961.0018

The Skyrme Soliton in Pion, Vector and Scalar Meson Fields: $\pi N$ Scattering and Photoproduction

- Phys.Rept. 173 (1989) 173
•
DOI:
- 10.1016/0370-1573(89)90022-7

Integral Equations for Extended Solutions in Field Theory: Monopoles and Dyons

F.A. Bais
(
- UC, Santa Cruz
)
,
J.R. Primack
(
- UC, Santa Cruz
)

- Phys.Rev.D 13 (1976) 819
•
DOI:
- 10.1103/PhysRevD.13.819

Poles with Both Magnetic and Electric Charges in Nonabelian Gauge Theory

B. Julia
(
- Princeton U.
)
,
A. Zee
(
- Princeton U.
)

- Phys.Rev.D 11 (1975) 2227-2232
•
DOI:
- 10.1103/PhysRevD.11.2227

The Baryon Spectrum of the Skyrme Model

Michael P. Mattis
(
- SLAC
)
,
Marek Karliner
(
- SLAC
)

- Phys.Rev.D 31 (1985) 2833
•
DOI:
- 10.1103/PhysRevD.31.2833

BARYON RESONANCES AS FLUCTUATIONS OF THE SKYRME SOLITON

H. Walliser
(
- Siegen U.
)
,
G. Eckart
(
- Siegen U.
)

- Nucl.Phys.A 429 (1984) 514-526,
- Nucl. Phys. A429 ( 1984) 514-526
•
DOI:
- 10.1016/0375-9474(84)90695-X

Photoproduction of Baryon Resonances in the Skyrme Model

G. Eckart
(
- Siegen U.
)
,
B. Schwesinger
(
- Siegen U.
)

- Nucl.Phys.A 458 (1986) 620-636
•
DOI:
- 10.1016/0375-9474(86)90190-9