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17 - Complex Scalar Field and Electric Current: Gauging a Global Symmetry

from Part I - General Properties of Fields; Scalars and Gauge Fields

Published online by Cambridge University Press:  04 March 2019

Horaƫiu Năstase
Affiliation:
Universidade Estadual Paulista, São Paulo
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Summary

We study complex scalar fields and their couplings. A complex scalar with a global U(1) invariance has an electric current and associated charge, and we can “gauge” this symmetry, i.e., make it local. The procedure for making it local is the Noether procedure, and it amounts to making derivatives covariant with respect to a gauge field (minimal coupling to the gauge field), plus adding more terms.

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Publisher: Cambridge University Press
Print publication year: 2019

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