U(1) Gauge Symmetry and Electromagnetic Fields

Peter Woit ()
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Peter Woit: Columbia University, Department of Mathematics

Chapter Chapter 45 in Quantum Theory, Groups and Representations, 2017, pp 573-583 from Springer

Abstract: Abstract We have now constructed both relativistic and non-relativistic quantum field theories for free scalar particles. In the non-relativistic case, we had to use complex-valued fields and found that the theory came with an action of a U(1) group, the group of phase transformations on the fields. In the relativistic case real-valued fields could be used, but if we took complex-valued ones (or used pairs of real-valued fields), again there was an action of a U(1) group of phase transformations.

Date: 2017
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DOI: 10.1007/978-3-319-64612-1_45

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