Questions tagged [magnetic-monopoles]

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.

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Monopole operator: correlation functions

Let's consider free Maxwell theory: $$ S_{Maxwell} = \int d^dx \; -\frac{1}{4e^2}F_{\mu\nu}F^{\mu\nu} $$ In such theory one can define monopole operator using path integral via correlation functions ...
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Dyon and monopole are mutually non-local objects?

Why dyon and monopole are mutually non-local objects? This statement from Matteo Bertolini: Lectures on Supersymmetry, section 12.3.3 and related to this question.
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Magnetic Force and Magnetic Field - Conservative or Non Conservative? [closed]

I understand that this question is asked many times on PSE, but my questions which I ask below are slightly different. I have read almost all the discussions on PSE on the topic but a few questions ...
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What actually is monopole current and monopole charge?

When I searched the term "monopole" on internet I found it was related to the magnetic property. A hypothetical version or a presumed magnetic particle. I came to know recently that "monopole current" ...
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Why are magnetic monopoles hard to find (if exist)?

I understand the Yang-Mill perspective of $U(1)$-gauge theory. In that, you can easily write down the field of a Dirac magnetic monopole. What interests me is the fact that it's so hard to find (if ...
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Is the magnetic monopole the same than the electric charge? [duplicate]

As I understand, magnetic materials (ferromagnets, paramagnets and diamagnets) appear due to the polarization of it atoms or molecules. In other words, they exist because their atoms or molecules are ...
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How accurate is the magnetic field determined by assuming a circular current carrying loop as a magnetic dipole?

I've learnt that a circular loop of area $A$ carrying a current $i$ produces a magnetic moment equal to $iA$ and the field due to the loop can be considered to be due to a magnetic dipole, consisting ...
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How inflation explains the missing monopole? [duplicate]

I read that Alan Guth used phase transition model of early universe to dilute the monopole so that nowadays we don't get to see any of them? I know there is no monopole in nature but I am interested ...
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Is there a difference between magnetic moment and monopole moment?

I have stumbled upon the following formulation: For a magnetic pole located at $X=Y=Z=0$ with monopole moment $g=\text{constant}$, the magnetic 3-vector is given by: $\mathbf{B} = \frac{g}{r^3}(X,Y,...
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What does it means that electric charge is conserved but not quantized? [closed]

I always thought electric charge is quantized until someone told me in writing that there is no such thing as magnetic monopole which suggests electric charge isn't quantized. Then what the difference ...
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What are the physics implications of a world with magnetic monopoles? [closed]

When I studied Electromagnetism, even though I was already used to the idea of always finding magnets with two poles, one thing that was really shocking for the first time was seeing one of Maxwell's ...
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How does magnetic monopole arise from Berry curvature?

The Berry connection is defined as $$A_n(R)=i\left<\psi_n(R)\right|\nabla_R\left|\psi_n(R)\right>$$ and it is mathematically analogous to the vector potential. We can then naively define the ...
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Does magnetic monopoles really exist? [duplicate]

I have found out some research going at CERN (LHC) . Is it true that monopoles behave like electrons or protons? and thus prove quantization of charge?
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In layman terms, what would it mean if a magnetic monopole was observed?

I am a CS student so I don't really understand all the nuances surrounding this subject but I have heard of magnetic monopoles a couple of times and found them to be extremely interesting. I have ...
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Pauli equation with magnetic monopoles

Magnetic monopoles are thought to exist in some Grand Unified theories. The Pauli Equation uses the magnetic potential A. The curl of A is the magnetic field B. But the divergence of the curl is ...
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Classical electron in magnetic monopole

Consider a mass $m$ with electrical charge $+e$ that is moving on a sphere of radius $r$ around the magnetic monopole $$\vec{B}=e_m\frac{\vec{r}}{r^3}.$$ The I get the following equation of motion $$...
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Field-strength tensor after symmetry breaking of $SU(2)$

I am currently trying to understand the paper https://iopscience.iop.org/article/10.1088/0034-4885/41/9/001 and I am stuck on eq. (4.29). Basically what I understand is that, you have your field ...
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In which representation are monopoles of grand unifying theories classified?

In the context of grand unification theories A.Zee's book states that $SU(5)$ (or $SO(10)$ if $SU(5)$ is considered as outdated as GUT candidate) as GUT and as spontaneously broken non-abelian gauge ...
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An improved magnetic monopole detection setup?

A "common" way to try to detect magnetic monopoles is to look for otherwise inexplicable changes in the current carried in a superconducting loop. The idea there is that the radial field surrounding ...
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How magnetic monopole modifies faraday's law

I have encountered a statement that upon existence of magnetic monopoles, the equation $$\nabla \times \textbf{E} = -\partial_t \textbf{B}$$ must be modified. I only see that the last equation $$\...
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Magnetic Dipole Moments and Dipole Contributions

I'm currently in Physics 2 (calc-based) at my University. On the last exam we had questions over magnetic dipole moments and dipole contributions. I'm still unable to solve these problems. Would ...
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Gravity, particle properties and magnetic monopoles

Generally, magnetic monopoles searches assume it has a mass. And that introduces gravity into the game. But, my question rough is: Why should a magnetic monopole have a mass or any other ...
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What do magnetic field lines represent?

When magnetic field lines of permanent magnet were put, they supposed a north monopole magnet, so if you put a monopole north magnet it will follow the magnetic field lines. But what about the ...
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Non-relativistic vector first integral

In this paper the author discusses the Poincaré vector $\vec D$, and he wrote the Lorentz equation when magnetic charge is present. Do you have any suggested reading for this and how he derived the ...
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Magnetic fields and closed loop

It is well known that there don't appear to be magnetic poles. In Maxwell's equations this has the implication $$ \nabla \cdot \mathbf{B} = 0 $$ and results in the statement "the magnetic field forms ...
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Do magnetic field lines indicate how a mangetic field will act on an “idealized” test magnetic north monopole?

We imagine an electric field and a magnetic field as vector fields. When we are introduced to a static electric field, we usually picture it as an infinite number of vectors (magnitude,direction) in ...
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Some questions on a certain Lagrangian related to $n$ dyons

I am trying to understand Gibbons and Manton's article. I am trying to understand the Lagrangian that they wrote down, from a physical point of view. Let me paraphrase from that article. "Consider $...
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Dirac's Theory of magnetic monopoles

Can someone give a breif summary of Dirac's theory of magnetic monopoles a rather simple way? Please also tell what methods he used and key ideas presented in his paper. I am asking this because it is ...
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Vector potential of magnetic monopole

I am following the step on this introduction to magnetic monopole. I understand that the vector potential produced by semi-infinite solenoid is exactly the vector potential of magnetic monopole. But ...
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Classical Yang-Mills equation of motion with both electric and magnetic sources?

We know the classical Maxwell equation of motion (eom) with both electric and magnetic source can be written as: (1) Explicit form or more schematically as: (2) Differential form $$ d * F = * J_e $$...
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Why separate magnetic poles do not exist? [duplicate]

We are always taught that it is not possible to have separate magnetic poles .Even kn cutting a magnet in half a new magnet are constructed . What is the reason for this unique behaviour ?
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Do magnetic dipoles align with $\mathbf B$ or $\mathbf H$, and why are the two field so closely associated?

As the title says, do magnetic dipoles align with $\mathbf B$ or $\mathbf H$? If one and not the other, why is that? In addition, what force is responsible for causing the magnetic dipoles to align ...
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Can the Dirac quantization condition be derived within Lev Vaidman's formalism without gauge fields?

Textbooks often claim that phenomena like the Aharonov-Bohm effect require that any local formulation of quantum gauge theory use gauge potential fields. (It's also sometimes claimed that the A-B ...
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Conservation of magnetic charge

It is well known that the electric charge of a system can be thought of as the Noether charge associated with isotropic large gauge transformations. That is, given Einstein-Maxwell theory $$S=\frac{1}...
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What is the formula for electromagnetic force on magnetic charge in condensed matter?

It is known that if we take into account the magnetic charges, Maxwell's equations acquire a symmetrical form (Jackson, 3rd edition, eq. 6.150): \begin{align} \begin{aligned} -\nabla \times \...
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If monopoles are excised points in a $U(1)$ bundle, how are they affected by other charges?

We currently understand electromagnetism as a U(1) gauge theory. If you take a point out the space manifold (base space) you can create magnetic monopoles with integral charges by making non-trivial ...
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What will be the difference in the behaviour between electric charges and between magnetic charges?

It’s often asked in PSE about the existence of particles with magnetic monopoles. What’s the difference in interaction between magnetic monopoles and electric monopoles in such a theoretical case? ...
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Why can't a particle that carries magnetic charge exist? [duplicate]

Electron is the source of electric field and changing electric field produce magnetic force, what about particle that can do vice versa? My concern is how come universe favors particles that carry ...
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Runaway Monopole Catalyzed Baryon Decay

I am a layman in the subject, but I have recently learned that magnetic monopoles could be used to induce baryon decay (Callan-Rubakov mechanism), according to some GUTs. I have also learned that ...
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How to show monopole term in magnetic vector potential is 0?

Assume we are in a magnetostatic and electrostatic situation. In the multipole expansion of the magnetic vector potential, we end up with $\vec{A}(\vec{r})=\sum_{n=0}^\infty \vec{A}_n(\vec{r})$ ...
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Explanation for magnetic declination [closed]

A compass in New York points about 15 degrees west of true north; in California, it points about 15 degrees east of true north. Magnetic declination also varies with time. What are some possible ...
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Dirac equation and Hamiltonian for a collection of magnetic monopoles

I am trying to understand a mathematical comment by Eugene Wigner in some old lecture$,^{[1]}$ "The Hamiltonian of the Dirac equation for two oppositely charged monopoles is not self-adjoint." What ...
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Why did David Tong say that the global topological $U(1)$ symmetry is unbroken in Higgs phase?

In the paper A Duality Web in 2+1 Dimensions and Condensed Matter Physics by Seiberg, Senthil, Wang, and Witten, they studied the particle-vortex dualities in $2+1$ dimensions. On page 20, section 3....
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Maxwell theory : How to justify the potential gauge fields if there are magnetic monopoles?

Without magnetic monopoles, the Maxwell equations are these (I'm dropping vector notations and all constants, for simplicity): \begin{align} \nabla \cdot E &= \rho_{elec}, \tag{1} \\[12pt] \nabla \...
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Where did the idea that there *might* be magnetic monopoles come from? [duplicate]

I know that we declare that there exist no magnetic monopoles. I see it all the time in my E&M class. $$\vec{\nabla}\cdot\vec{B}=0$$ So there exists no point for $\vec{B}$ to originate from and no ...
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Magnetic Shielding

Imagine a substance in an electric field. You don't want the electric field to interact with the object you have put in its way. What should be the type of material this magnet should be made of to ...
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Does the electrodynamics-like PDE $\epsilon^{ijk}\partial_j B_{kl}(x) = \delta^i_l\delta^{(3)}(x)$ have solutions?

Consider the following PDE in 3 dimensions $$ \epsilon^{ijk}\partial_j B_{kl}(x) = \delta^i_l\delta^{(3)}(x)$$ Does $B_{kl}(x)$ have a solution? (It can have any kind of singularity, e.g. it can have ...
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What actual difference does it make whether electric or magnetic field lines are open or closed?

If both electric and magnetic fields attenuate with distance by the inverse square law, what difference does it make that the latter's field lines are 'closed'? And if a magnetically-induced electric ...
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Field lines of a bar magnet not like electric dipole

It's mentioned that the magnetic field of a bar magnet don't start at one end or end at another (like what happens for a electric dipole), but rather passes "through" the bar magnet like the magnetic ...

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