Yang-Mills redux

Details Yang-Mills redux Yang-Mills redux

2006-09-11

arxiv.org/abs/physics/0609084v1

Physics

History and Philosophy of Physics

4 pages

Scientific paper

It is noted that a given pairing of the phase factor and gauge transformation to retain gauge symmetry is not unique. In their seminal paper, when Yang and Mills (YM) discuss the phase factor - gauge transformation relationship, they cite Pauli's review paper. It is interesting that although Pauli in that paper presents the electromagnetic field strength in terms of a commutator, for whatever reason YM did not extrapolate the commutator's use to obtain the Yang-Mills field strength -- they obtained it by trial and error. Presented is a derivation of this field strength using the commutator approach detailing how certain terms cancel each other. Finally, the Yang-Mills field transformation is derived in a slightly different way than is traditionally done.

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