# Background potentials and superselection sectors

@article{Vasselli2018BackgroundPA, title={Background potentials and superselection sectors}, author={E. Vasselli}, journal={Journal of Geometry and Physics}, year={2018}, volume={139}, pages={139-148} }

Abstract The basic aspects of the Aharonov–Bohm effect can be summarized by the remark that wavefunctions become sections of a line bundle with a flat connection (that is, a ”flat potential”). Passing at the level of quantum field theory in curved spacetimes, we study the Dirac field interacting with a classical (background) flat potential and show that it can be interpreted as a topological sector of the observable net of free Dirac field. On the converse, starting from a topological sector we… Expand

#### One Citation

#### References

SHOWING 1-10 OF 39 REFERENCES

REMARKS ON THE REEH–SCHLIEDER PROPERTY FOR HIGHER SPIN FREE FIELDS ON CURVED SPACETIMES

- Physics, Mathematics
- 2011

Quantum Charges and Spacetime Topology: The Emergence of New Superselection Sectors

- Mathematics, Physics
- 2009

Electromagnetism, Local Covariance, the Aharonov–Bohm Effect and Gauss’ Law

- Physics, Mathematics
- 2014

Nuclearity, Local Quasiequivalence and Split Property for Dirac Quantum Fields in Curved Spacetime

- Physics, Mathematics
- 2006

Topological Features of Massive Bosons on Two-Dimensional Einstein Space–Time

- Physics, Mathematics
- 2008