
arXiv: 1401.8146
This paper deals with the Berry phase, and the ontology of the electromagnetic vector potential. When the state of the system is gauge symmetric, the vector potential may be interpreted as a convenient tool of a mathematical formulation, with no ontological meaning. I argue that this interpretation is in difficulty because the vector potential depends linearly on the supercurrent in the superfluid state, which is a spontaneously broken gauge symmetry state, where particle number is not conserved. I suggest that when gauge symmetry is spontaneously broken, the vector potential becomes an emergent material object of nature. The revised version includes sections on scientific realism, and emergence, and new references on Noether's theorem, among others.
29, no figures. The present version includes a section on scientific realism and materialism, mostly based on Hacking's views in "Representing and Intervening". It has a new section on emergence with a discussion of papers by Laughlin and Pines, Batterman, Howard, and Healey. A discussion of Pippard equation is also included
Condensed Matter - Other Condensed Matter, Physics - History and Philosophy of Physics, History and Philosophy of Physics (physics.hist-ph), FOS: Physical sciences, Other Condensed Matter (cond-mat.other)
Condensed Matter - Other Condensed Matter, Physics - History and Philosophy of Physics, History and Philosophy of Physics (physics.hist-ph), FOS: Physical sciences, Other Condensed Matter (cond-mat.other)
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