All Questions
Tagged with duality magnetic-monopoles
19
questions
2
votes
3
answers
366
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},$...
- 513
2
votes
1
answer
103
views
What do monopoles have to do with strong coupling?
My understanding is that strong coupling effects arise from instantons in the path integral.
But I sometimes read that monopoles (see the electric-magnetic duality) can allow one to calculate strong ...
- 742
2
votes
1
answer
209
views
Is the Dirac monopole quantization condition out by 1/2?
Consider an electron with electric charge $e$ that is moved around a closed horizontal circular path $C$ centered around a magnetic monopole with magnetic charge $g$. Assume that the monopole produces ...
- 5,925
2
votes
0
answers
76
views
Are we sure that electric “monopoles” are not just ends of an “Electrical Dirac String”? [closed]
The Dirac String is used to model magnetic monopoles. So how are we sure that physical electric “monopoles” are not in fact the ends of an “Electrical Dirac String” produced by a solenoid carrying a ...
- 129
2
votes
0
answers
68
views
How can holographic duals (eg. AdS/CFT) be used to study magnetic monopoles? [closed]
What useful things are possible to find out about magnetic monopoles through the use of dual theories? I'm thinking of characteristics such as stability (or chaoticness), expectation values, central ...
- 79
2
votes
1
answer
170
views
What would happen if the fine structure constant were set to 1?
While reading up on magnetic monopoles, I have been led to understand that, due to S-duality, the magnetic equivalent of the fine-structure constant, $\alpha_M$ must be related to the reciprocal of $\...
- 2,196
2
votes
0
answers
35
views
If magnetic monopoles existed, would the electric field also require a vector potential? [duplicate]
I'm studying magnetic duality and it seems that duality is nearly complete for the exception of the apparent non-existence of magnetic monopoles.
My issue here isn't this one. My issue is that, if ...
- 223
4
votes
0
answers
79
views
How do we perform a perturbative expansion for magnetic monopoles?
Magnetic monopoles in non-abelian (and even abelian) gauge theory essentially appear as a non-perturbative, composite phenomenon if we perform the standard perturbative expansion in terms of, say, ...
- 71
2
votes
1
answer
113
views
Free fermion dual to monopole operator in scalar $QED_3+$ Chern-Simons term equivalence proof?
In most papers discussing 3D Abelian bosonization duality, they say that monopole operator in scalar $QED_3+CS$ is dual to free fermions.
How do they know it, because I have never seen an actual proof ...
- 1,369
1
vote
1
answer
149
views
A universe with fully symmetric electromagnetism?
Although several extensions to the Standard Model predict the possible existence of magnetic monopoles, their expected properties are rather significantly different from those of the electrically-...
- 2,196
8
votes
1
answer
568
views
Question about Monopole Operator
I've been studying IR-dualities in 2+1 dimensions. I encountered monopole operators in the following paper:
Time-Reversal Symmetry, Anomalies, and Dualities in (2+1)d
On page 10, starting from $...
- 2,923
4
votes
1
answer
666
views
Is there either a Lagrangian or a Hamiltonian formulation of electromagnetism with continuous distributions of magnetic monopoles?
Maxwell's equations generalize very nicely if we add in magnetic monopoles: we get
$$\begin{align*}
\partial_\mu F^{\mu \nu} &= J^\nu \\
\partial_\mu \tilde{F}^{\mu \nu} &= \tilde{J}^\nu,
\end{...
- 48.4k
12
votes
3
answers
3k
views
Symmetry in electricity and magnetism due to magnetic monopoles
I was wondering about the differences between electricity and magnetism in the context of Maxwell's equations. When I thought over it, I came to the conclusion that the only difference between the two ...
- 2,918
7
votes
1
answer
554
views
Why is Seiberg duality called an electromagnetic duality?
An electromagnetic duality is a duality that maps electric to magnetic degrees of freedom of two distinct theories. Apart from source-less Maxwell electrodynamics, other theories require magnetic ...
- 17.8k
2
votes
1
answer
313
views
Dyon condensation and generalized Meissner effect
In section 2.B of Metlitski and Vishwanath's paper:
"Generally condensation of a dyon with charges $(q,m)$ gives rise to an analogue of a Meissner effect for the gauge field combination $q\vec{b}-2\...
- 145