Linked Questions
11 questions linked to/from Magnetic monopoles in field theory
24
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4
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5k
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Why are magnetic monopoles "incompatible" with quantum mechanics?
I'm reading this Physics Today article on magnetic monopoles, and I'm a bit confused by a discussion of the necessity of Dirac strings for compatibility with quantum mechanics. I'll reproduce the ...
- 799
21
votes
5
answers
3k
views
Is there a topological difference between an electric monopole and an magnetic monopole?
When we introduce magnetic monopoles, we have duality, i.e. invariance under the exchange of electric and magnetic fields.
Magnetic (Dirac) monopoles are usually discussed using topological ...
- 9,809
20
votes
1
answer
3k
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Does magnetic monopole violate $U(1)$ gauge symmetry?
Does a magnetic monopole violate $U(1)$ gauge symmetry? In what sense and why?
Insofar as I know, there are at least two types of magnetic monopoles. One is the Dirac monopole while the other is the ...
- 3,591
10
votes
1
answer
996
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How will SR EM Lagrangian change if we find a magnetic charge?
When we introduce electromagnetic field in Special Relativity, we add a term of
$$-\frac e c A_idx^i$$
into Lagrangian. When we then derive equations of motion, we get the magnetic field that is ...
- 28.5k
7
votes
1
answer
1k
views
What is the action for an electromagnetic field if including magnetic charge
Recently, I try to write an action of an electromagnetic field with magnetic charge and quantize it. But it seems not as easy as it seems to be. Does anyone know anything or think of anything like ...
- 553
4
votes
2
answers
1k
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Why magnetic monopole has't been shown in the particle physics's Standard Model context?
For various reasons, experts, since Dirac, believe that a unified field theory must have a magnetic monopole. For example, Polyakov said: "I am quite certain that magnetic monopoles really exist. ...
- 7,720
2
votes
3
answers
241
views
Self-duality of Maxwell lagrangian in terms of magnetic gauge field
I have read at many places that the pure Maxwell theory (without any matter) is self-dual. This is the general form for Maxwell Lagrangian density:
$$\mathcal{L} = - \frac{1}{4} F_{\mu\nu} F^{\mu\nu},$...
- 331
1
vote
0
answers
343
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What's the Lagrangian of Electromagnetic field with magnetic and electronic charge?
Lagrangian for electromagnetic field without magnetic charge is
$$\mathcal{L} \, = \, - \frac{1}{4 \mu_0} F^{\alpha \beta} F_{\alpha \beta} - A_{\alpha} J^{\alpha} $$
And we know that Maxwell's ...
- 5,841
0
votes
1
answer
186
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How to incorporate Dirac's magnetic monopole solution into a continuous magnetic charge density?
Dirac famously solved Maxwell equations in the presence of a point magnetic monopole. He was able to do so in a manner which used only the standard vector potential $\vec{A}$ and gave the correct ...
- 109
0
votes
0
answers
199
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Magnetic monopole Lagrangian and Hamiltonian
How do I find an equation analogous to
\begin{equation}
\mathcal{L}(q,\dot q)=\frac12 m \dot q ^2-q\phi+q\vec{\dot q}\cdot \vec A\quad\quad \text{where}\quad \vec B =\vec\nabla\times\vec A, \quad \vec ...
- 243
1
vote
0
answers
121
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Force law from Lagrangian for magnetic monopole
How to construct a Lagrangian that gives the Lorentz force law with both magnetic and electric monopole?
I got that the force will be of the form
\begin{equation}
m \frac{\mathrm{d}x^\nu}{\mathrm{d}\...
- 243