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## Main Question or Discussion Point

I am trying to search for the first person who introduced group theory into quantum field theory.

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I am trying to search for the first person who introduced group theory into quantum field theory.

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Wigner?

nrqed

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That would be my guess too.Wigner?

In a classic paper published in 1939.

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Indeed --- any Weyl also introduced much of the modern differential geometry and group technology to the study of classical mechanics. The term "symplectic" was in fact coined by him </trivia>applicationsof group theory in QM (and then QFT), whereas Weyl (from von Neumann's Hilbert spaces) introduced group methods to study thefundationsof quantummechanics.

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