Background potentials and superselection sectors

JOURNAL OF GEOMETRY AND PHYSICS

卷:139

Article

Vasselli, Ezio¹ 

[1] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy

关键词: Aharonov-Bohm effect;    Superselection sector;    Dirac field;    Curved spacetime;   

DOI  :  10.1016/j.geomphys.2019.02.001

来源: Elsevier

【 摘 要 】

The basic aspects of the Aharonov-Bohm effect can be summarized by the remark that wave functions 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 reconstruct a classical flat potential, interpreted as an interaction of a Dirac field. This leads to a description of Aharonov-Bohm-type effects in terms of localized observables. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free