# On the Reality of Gauge Potentials

@article{Healey2001OnTR, title={On the Reality of Gauge Potentials}, author={Richard Healey}, journal={Philosophy of Science}, year={2001}, volume={68}, pages={432 - 455} }

Classically, a gauge potential was merely a convenient device for generating a corresponding gauge field. Quantum-mechanically, a gauge potential lays claim to independent status as a further feature of the physical situation. But whether this is a local or a global feature is not made any clearer by the variety of mathematical structures used to represent it. I argue that in the theory of electromagnetism (or a non-Abelian generalization) that describes quantum particles subject to a classical…

## 40 Citations

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## References

SHOWING 1-10 OF 22 REFERENCES

Concept of Nonintegrable Phase Factors and Global Formulation of Gauge Fields

- Physics
- 1975

Through an examination of the Bohm-Aharonov experiment an intrinsic and complete description of electromagnetism in a space-time region is formulated in terms of a nonintegrable phase factor. This…

Quantum interference and the classical limit

- Physics
- 1980

A relationship between the quantum phase shift due to an external field in an (infinitesimal) two-beam interference experiment and the classical transverse acceleration, previously given by the…

Significance of Electromagnetic Potentials in the Quantum Theory

- Physics
- 1959

In this paper, we discuss some interesting properties of the electromagnetic potentials in the quantum domain. We shall show that, contrary to the conclusions of classical mechanics, there exist…

Quantum Analogies: A Reply to Maudlin

- PhysicsPhilosophy of Science
- 1999

Quantum mechanics predicted the Aharonov-Bohm effect and violations of Bell inequalities before either phenomenon was experimentally verified. It is now commonly taken to explain both phenomena.…

Some remarks on the Gribov ambiguity

- Physics
- 1978

The set of all connections of a principal bundle over the 4-sphere with compact nonabelian Lie group under the action of the group of gauge transformations is studied. It is shown that no continuous…

Some Elementary Gauge Theory Concepts

- Physics
- 1993

An elucidation of the basic concepts loop space formulation using a nonabelian Poincare lemma monopoles and their dynamics as consequences of topology examples of generalized gauge structures…

Nonlocality and the Aharonov-Bohm Effect

- PhysicsPhilosophy of Science
- 1997

At first sight the Aharonov-Bohm effect appears nonlocal, though not in the way EPR/Bell correlations are generally acknowledged to be nonlocal. This paper applies an analysis of nonlocality to the…

Gauges: Aharonov, Bohm, Yang, Healey

- PhysicsPhilosophy of Science
- 1999

I defend the interpretation of the Aharonov-Bohm effect originally advanced by Aharonov and Bohm, i.e., that it is caused by an interaction between the electron and the vector potential. The defense…

Healey on the Aharonov-Bohm Effect

- PhysicsPhilosophy of Science
- 1998

Richard Healey (1997) argues that the Aharonov-Bohm effect demands the recognition of either nonlocal or nonseparable physics in much the way that violations of Bell's inequality do. A careful…