# Strings and gauge invariance

@article{Milton1978StringsAG, title={Strings and gauge invariance}, author={Kimball A. Milton and Lester L. DeRaad}, journal={Journal of Mathematical Physics}, year={1978}, volume={19}, pages={375-382} }

Within the context of the nonrelativistic theory of dyons, we study a number of interrelated issues concerning the quantum formulation of magnetic charge. We begin by solving the two‐body Schrodinger equation for an arbitrarily oriented singularity line (string) in terms of the known solutions with the string on the z axis. Charge quantization conditions emerge by requiring that the wavefunctions be single valued. The general solutions express the necessary gauge covariance of the wavefunctions…

## 2 Citations

### Hidden symmetries, spin and charge of artificial magnetic monopoles

- PhysicsQuantum Studies: Mathematics and Foundations
- 2021

We discuss the non-Abelian artificial magnetic monopoles associated with n -level energy crossing in quantum systems. We found that hidden symmetries reveal themselves as observables such as spin,…

### Theoretical and experimental status of magnetic monopoles

- Physics
- 2001

The Tevatron has inspired new interest in the subject of magnetic monopoles. First there was the 1998 D0 limit on the virtual production of monopoles, based on the theory of Ginzburg and…

## References

SHOWING 1-9 OF 9 REFERENCES

### ROLE OF SPIN IN THE MONOPOLE PROBLEM

- Physics
- 1965

The scattering of an electric charge from a magnetic monopole is discussed in a way which explicitly incorporates conservation of angular momentum. The Dirac quantization condition for the physical…

### Dirac monopole theory with and without strings

- Physics
- 1977

It is shown that in Dirac's formulation of the quantum-mechanical interaction of a magnetic monopole and an electric charge the singular string he attached to the monopole can be moved arbitrarily by…

### Scattering on magnetic charge

- Physics
- 1976

The nature of magnetic monopoles in an SO(3) gauge theory is explored by examining how they scatter charged particles. Peripheral scattering, where the momentum transfer is much less than the mass of…

### Avoiding ''Dirac's veto'' in monopole theory

- Physics
- 1977

Using ideas introduced by Wu and Yang in their recent nonsingular formulation of an action principle for classical Dirac magnetic monopoles, we modify Dirac's original formulation of the problem so…

### Magnetic charge and the charge quantization condition

- Physics
- 1975

Two viewpoints concerning magnetic charge are distinguished: that of Dirac, which is unsymmetrical, and the symmetrical one, which embodies invariance under charge rotation. It is pointed out that…