Linked Questions

24 votes
4 answers

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 ...
10GeV's user avatar
  • 799
21 votes
5 answers

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 ...
jak's user avatar
  • 9,809
20 votes
1 answer

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 ...
xiaohuamao's user avatar
  • 3,591
10 votes
1 answer

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 ...
Ruslan's user avatar
  • 28.5k
7 votes
1 answer

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 ...
Xiao-Qi Sun's user avatar
4 votes
2 answers

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. ...
wonderich's user avatar
  • 7,720
2 votes
3 answers

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},$...
baba26's user avatar
  • 331
1 vote
0 answers

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 ...
346699's user avatar
  • 5,841
0 votes
1 answer

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 ...
Fizikus's user avatar
  • 109
0 votes
0 answers

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 ...
user824530's user avatar
1 vote
0 answers

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}\...
user824530's user avatar