`t Hooft Anomaly Matching for QCD

Details `t Hooft Anomaly Matching for QCD `t Hooft Anomaly Matching for QCD

1997-06-10

arxiv.org/abs/hep-th/9706074v3

Phys.Rev.lett.80:2517-2520,1998

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, LaTeX, version to be published in PRL

Scientific paper

10.1103/PhysRevLett.80.2517

I present a set of theories which display non-trivial `t Hooft anomaly matching for QCD with $F$ flavors. The matching theories are non-Abelian gauge theories with "dual" quarks and baryons, rather than the purely confining theories of baryons that `t Hooft originally searched for. The matching gauge groups are required to have an $F\pm 6$ dimensional representation. Such a correspondence is reminiscent of Seiberg's duality for supersymmetric (SUSY) QCD, and these theories are candidates for non-SUSY duality. However anomaly matching by itself is not sufficiently restrictive, and duality for QCD cannot be established at present. At the very least, the existence of multiple anomaly matching solutions should provide a note of caution regarding conjectured non-SUSY dualities.

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