Magnetic monopole and electromagnetic field quantization procedure

Question

From the Maxwell's equations point of view, existence of magnetic monopole leads to unsuitability of the introduction of vector potential as $\vec B = \operatorname{rot}\vec A$. As a result, it was introducted by Dirac fiber-like theory of monopole, which is considers a model of monopole as the open end of a semi-infinite solenoid. This is physically unsatisfactory. Another approach, is the introduction of another 4-potential along with $A_{\mu},(\text{where } \mu = 0,1,2,3)$. But such models had problems with formulating in a frame of the principle of least action. And if I'm not mistaken, this problem had been solved (see Magnetic monopoles and Lorentz force). A two potential models, I seem to be more acceptable. How will change the procedure of quantization of the electromagnetic field in two-potential models? Does the photon acquire an additional degree of freedom?

This post has been migrated from (A51.SE)

Comments

Welcome. I have trouble to understand the concept "physical satisfaction". I also do note get to what solution to what problem you are referring us. May you take a look at the [how to ask](http://theoreticalphysics.stackexchange.com/questions/how-to-ask) guidelines of the site?

This post has been migrated from (A51.SE)

---

Particles, which has a fiber-like structure around, like Dirac's monopole, I meant physical usatisfactory.

This post has been migrated from (A51.SE)

---

A two potential models, I seem to be more acceptable.

This post has been migrated from (A51.SE)

---

Related question asked by OP on Physics.SE: http://physics.stackexchange.com/q/22018/2451

This post has been migrated from (A51.SE)