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Results tagged with magnetic-monopoles
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user 2190
A magnetic monopole is a hypothetical particle with only one magnetic pole. Their magnetic fields would not be divergence-less. Predicted by certain modern theories, including string theory, supergravity, and various popular grand unified theories.
5
votes
Accepted
On the Dirac charge quantisation, bare vs. renormalised$.$
Any term in the action, subject to a quantization condition should possess an appropriate nonrenormalization theorem protecting its coefficient. Please, see the following Wikipedia article . (The art …
- 31.2k
11
votes
Why isn't Dirac credited with the discovery of the Aharonov-Bohm effect?
Dirac's discovery of the quantization of the magnetic charge is distinct from the Aharonov-Bohm effect.
These effects depend on different topological properties of the manifold on which a charged par …
- 31.2k
3
votes
Do we have a quantum field theory of monopoles?
This answer is based on David Tong's lectures on solitons - Chapter 2 - Monopoles.
The general answer to the question is that it is known how to construct a quantum mechanical theory of magnetic mo …
- 31.2k
5
votes
Why does adjoint representation matter in some field theories?
Theories with fundamental quarks which experience spontaneous chiral symmetry breaking:
$$ SU_L(N_f) \times SU_R(N_f) \rightarrow SU_A(N_f)$$
($N_f$ is the number of flavors)
(This is the observed …
- 31.2k
1
vote
Accepted
Relation between electric charge and gauge parameter of the moduli space of monopoles
A theory describing a charged particle on a configuration space $M$ can be obtained
from the reduction of a theory of a particle moving on an extended
configuration space $M \times S^1$. (To be precis …
- 31.2k
1
vote
Killing vectors for $\rm SO(3)$ (rotational) symmetry
The specific form of the Killing vectors depends on the parameterization of the group element, from the notation (and the results), one can deduce that Euler angle parameterization has been used:
$ g …
- 1,364
0
votes
Accepted
What is the winding number of a magnetic monopole, and why is it conserved?
I was intending to update my answer to your
original question to give you the required additional information. It is
just a little technical and takes some time to write down all the technicalities.
…
- 31.2k
2
votes
Winding number in the topology of magnetic monopoles
N is equal to the number of points in the $S_2$ sphere at infinity mapped to the same point of the $S_2$ Higgs vacuum manifold.The integral is a topological invariant depending only on this number and …
- 31.2k