Phys. Rev. D 67, 025014 (2003) [9 pages]Yang-Mills theory for nonsemisimple groupsReceived 21 October 2002; published 27 January 2003 For semisimple groups, possibly multiplied by U(1)’s, the number of Yang-Mills gauge fields is equal to the number of generators of the group. In this paper, it is shown that, for nonsemisimple groups, the number of Yang-Mills fields can be larger. These additional Yang-Mills fields are not irrelevant because they appear in the gauge transformations of the original Yang-Mills fields. Such nonsemisimple Yang-Mills theories may lead to physical consequences worth studying. The nonsemisimple group with only two generators that do not commute is studied in detail. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.67.025014
DOI:
10.1103/PhysRevD.67.025014
PACS:
11.15.-q, 11.10.-z
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