On spherically symmetric ’t Hooft–Polyakov monopoles - INSPIRE

DataBETA

On spherically symmetric ’t Hooft–Polyakov monopoles

M.O. Katanaev

Aug 19, 2022

14 pages

Published in:

Int.J.Mod.Phys.A 37 (2022) 20n21, 2243012

Published: Aug 19, 2022

DOI:

10.1142/S0217751X22430126

View in:

AMS MathSciNet

reference search1 citation

Citations per year

Abstract: (WSP)

We consider a general spherically symmetric ansatz for 𝕊𝕌(2) connection depending on three arbitrary functions in 𝕊𝕌(2) gauge model with the triplet of scalar fields in the adjoint representation. A general analytic solution of the Bogomol’nyi equations is derived. It depends on two constants and one arbitrary function on radius. In the particular gauge, the solution coincides with Protogenov’s solutions and contains the Bogomol’nyi–Prasad–Sommerfield solution. Static spherically symmetric Euler–Lagrange equations are considered and reduced to a system of two nonlinear partial differential equations for two unknown functions.

’t Hooft–Polyakov monopole
Bogomol’nyi equations

References(14)

Figures(0)

[1]

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

[2]

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,

[3]

Topology of Gauge Fields and Condensed Matter

M. Monastyrsky

•
DOI:
- 10.1007/978-1-4899-2403-2

[4]

Classical theory of gauge fields

V.A. Rubakov

[5]

Magnetic Monopoles

Yakov M. Shnir

DOI:
- 10.1007/3-540-29082-6

[6]

Geometrical methods in mathematical physics

M.O. Katanaev
(
- Steklov Math. Inst., Moscow
)

e-Print:
- 1311.0733

[7]

The ’t Hooft–Polyakov monopole in the geometric theory of defects

M.O. Katanaev
(
- Steklov Math. Inst., Moscow and
- Kazan State U.
)

- Mod.Phys.Lett.B 34 (2020) 12, 2050126
•
e-Print:
- 2007.13490
•
DOI:
- 10.1142/S0217984920501262

[8]

Disclinations in the geometric theory of defects

M.O. Katanaev

- Proc.Steklov Inst.Math. 313 (2021) 1-21
•
e-Print:
- 2108.07177
•
DOI:
- 10.1134/S0081543821020097

[9]

Spin Distribution for the ’t Hooft–Polyakov Monopole in the Geometric Theory of Defects

Mikhail O. Katanaev

- Universe 7 (2021) 8, 256
•
DOI:
- 10.3390/universe7080256

[10]

Stability of Classical Solutions

E.B. Bogomolny
(
- Landau Inst.
)

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

[11]

Exact Classical Solutions of Yang-Mills Sourceless Equations

A.P. Protogenov
(
- Gorky State U.
)

- Phys.Lett.B 67 (1977) 62-64
•
DOI:
- 10.1016/0370-2693(77)90806-1

[12]

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

[13]

Point disclinations in the Chern-Simons geometric theory of defects

M.O. Katanaev
(
- Steklov Math. Inst., Moscow and
- Kazan State U.
)
,
B.O. Volkov
(
- Steklov Math. Inst., Moscow and
- Moscow, MIPT
)

- Mod.Phys.Lett.B 34 (2020) supp01, 2150012
•
e-Print:
- 1908.08473
•
DOI:
- 10.1142/S0217984921500123

[14]

Gewöhnliche Differentialgleichungen, 6th edn. (Leipzig,)

E. von Kamke