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U(1) Gauge Symmetry and Electromagnetic Fields

In: Quantum Theory, Groups and Representations

Author

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  • Peter Woit

    (Columbia University, Department of Mathematics)

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.

Suggested Citation

  • Peter Woit, 2017. "U(1) Gauge Symmetry and Electromagnetic Fields," Springer Books, in: Quantum Theory, Groups and Representations, chapter 0, pages 573-583, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-64612-1_45
    DOI: 10.1007/978-3-319-64612-1_45
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