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

2020 ◽  
Vol 34 (12) ◽  
pp. 2050126
Author(s):  
M. O. Katanaev
Keyword(s):  
Physical Interpretation ◽  
Continuous Distribution ◽  
Geometric Theory ◽  
Yang Mills ◽  
Monopole Solution ◽  
Distribution Of Dislocations

The ’t Hooft–Polyakov monopole solution in Yang–Mills theory is given new physical interpretation in the geometric theory of defects. It describes solids with continuous distribution of dislocations and disclinations. The corresponding densities of Burgers and Frank vectors are computed. It means that the ’t Hooft–Polyakov monopole can be seen, probably, in solids.

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

Universe ◽  
2021 ◽  
Vol 7 (8) ◽  
pp. 256
Author(s):  
Mikhail O. Katanaev
Keyword(s):  
Physical Interpretation ◽  
Continuous Distribution ◽  
Geometric Theory ◽  
Elastic Media ◽  
Spin Distribution ◽  
Yang Mills ◽  
Spin Distributions ◽  
Distribution Of Dislocations

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.

scholarly journals Brane configuration from monopole solution in non-commutative super Yang-Mills theory

1999 ◽  
Vol 1999 (12) ◽  
pp. 021-021 ◽  
Author(s):  
Koji Hashimoto ◽  
Hiroyuki Hata ◽  
Sanefumi Moriyama
Keyword(s):  
Yang Mills ◽  
Monopole Solution ◽  
Super Yang Mills Theory

Monopole solution of Yang-Mills equations

1977 ◽  
Vol 68 (5) ◽  
pp. 463-465 ◽  
Author(s):  
M. Carmeli
Keyword(s):  
Yang Mills ◽  
Monopole Solution

A Tension Crack Impinging Upon Frictional Interfaces

1989 ◽  
Vol 56 (2) ◽  
pp. 291-298 ◽  
Author(s):  
Anna Dollar ◽  
Paul S. Steif
Keyword(s):  
Continuous Distribution ◽  
Fiber Composites ◽  
Solution Technique ◽  
Tension Crack ◽  
Tension Axis ◽  
Finite Crack ◽  
Crack Tips ◽  
Frictional Interface ◽  
Well Posed ◽  
Distribution Of Dislocations

A crack impinging normally upon a frictional interface is studied theoretically. We employ a solution technique which superposes the solution of a crack in a perfectly-bonded elastic medium with a continuous distribution of dislocations which represent slippage at the frictional interface. This procedure reduces the problem to a singular integral equation which is solved numerically. Specifically, we consider the problem of an infinite sheet subjected to uniaxial tension containing a finite crack which lies normal to the tension axis and has both crack tips impinging normally on frictional interfaces. The limiting problem of a semi-infinite crack impinging on a frictional interface is considered as well. Posed as model problems for cracking in weakly bonded fiber composites, these studies reveal the effective blunting that can result when a weak interface serves to deflect a propagating crack.

scholarly journals GENERALIZED JACOBI ELLIPTIC ONE-MONOPOLE: TYPE A

2010 ◽  
Vol 25 (31) ◽  
pp. 5731-5746 ◽  
Author(s):  
ROSY TEH ◽  
KHAI-MING WONG ◽  
KOK-GENG LIM
Keyword(s):  
Equations Of Motion ◽  
Higgs Field ◽  
Elliptic Functions ◽  
Finite Energy ◽  
Generalized Solution ◽  
Adjoint Representation ◽  
Winding Number ◽  
Axially Symmetric ◽  
Yang Mills ◽  
Monopole Solution

We present a new classical generalized one-monopole solution of the SU(2) Yang–Mills–Higgs theory with the Higgs field in the adjoint representation. We show that this generalized solution with θ-winding number m = 1 and ϕ-winding number n = 1 is an axially symmetric Jacobi elliptic generalization of the 't Hooft–Polyakov one-monopole. We construct this axially symmetric one-monopole solution by generalizing the large distance asymptotic solution of the 't Hooft–Polyakov one-monopole to the Jacobi elliptic functions and solving the second-order equations of motion numerically when the Higgs potential is vanishing and nonvanishing. These solutions are regular non-BPS finite energy solutions.

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