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

Recently the ’t Hooft–Polyakov monopole solutions in Yang–Mills theory were given new physical interpretation in the geometric theory of defects describing the continuous distribution of dislocations and disclinations in elastic media. It means that the ’t Hooft–Polyakov monopole can be seen, probab...

Full description

Bibliographic Details
Main Author: Mikhail O. Katanaev
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/7/8/256
_version_ 1797521946494107648
author Mikhail O. Katanaev
author_facet Mikhail O. Katanaev
author_sort Mikhail O. Katanaev
collection DOAJ
description Recently the ’t Hooft–Polyakov monopole solutions in Yang–Mills theory were given new physical interpretation in the geometric theory of defects describing the continuous distribution of dislocations and disclinations in elastic media. It means that the ’t Hooft–Polyakov monopole can be seen, probably, in solids. To this end we need to compute the corresponding spin distribution on lattice sites of crystals. The paper describes one of the possible spin distributions. The Bogomol’nyi–Prasad–Sommerfield solution is considered as an example.
first_indexed 2024-03-10T08:19:46Z
format Article
id doaj.art-a5117fd9b8c540d6b463f8055d4349fe
institution Directory Open Access Journal
issn 2218-1997
language English
last_indexed 2024-03-10T08:19:46Z
publishDate 2021-07-01
publisher MDPI AG
record_format Article
series Universe
spelling doaj.art-a5117fd9b8c540d6b463f8055d4349fe2023-11-22T10:05:15ZengMDPI AGUniverse2218-19972021-07-017825610.3390/universe7080256Spin Distribution for the ’t Hooft–Polyakov Monopole in the Geometric Theory of DefectsMikhail O. Katanaev0Steklov Mathematical Institute, ul. Gubkina, 119991 Moscow, RussiaRecently the ’t Hooft–Polyakov monopole solutions in Yang–Mills theory were given new physical interpretation in the geometric theory of defects describing the continuous distribution of dislocations and disclinations in elastic media. It means that the ’t Hooft–Polyakov monopole can be seen, probably, in solids. To this end we need to compute the corresponding spin distribution on lattice sites of crystals. The paper describes one of the possible spin distributions. The Bogomol’nyi–Prasad–Sommerfield solution is considered as an example.https://www.mdpi.com/2218-1997/7/8/256’t Hooft–Polyakov monopolegeometric theory of defectsdisclination
spellingShingle Mikhail O. Katanaev
Spin Distribution for the ’t Hooft–Polyakov Monopole in the Geometric Theory of Defects
Universe
’t Hooft–Polyakov monopole
geometric theory of defects
disclination
title Spin Distribution for the ’t Hooft–Polyakov Monopole in the Geometric Theory of Defects
title_full Spin Distribution for the ’t Hooft–Polyakov Monopole in the Geometric Theory of Defects
title_fullStr Spin Distribution for the ’t Hooft–Polyakov Monopole in the Geometric Theory of Defects
title_full_unstemmed Spin Distribution for the ’t Hooft–Polyakov Monopole in the Geometric Theory of Defects
title_short Spin Distribution for the ’t Hooft–Polyakov Monopole in the Geometric Theory of Defects
title_sort spin distribution for the t hooft polyakov monopole in the geometric theory of defects
topic ’t Hooft–Polyakov monopole
geometric theory of defects
disclination
url https://www.mdpi.com/2218-1997/7/8/256
work_keys_str_mv AT mikhailokatanaev spindistributionforthethooftpolyakovmonopoleinthegeometrictheoryofdefects