Phys. Rev. Lett. 80, 2517–2520 (1998)'t Hooft Anomaly Matching for QCDReceived 14 July 1997; published in the issue dated 23 March 1998 I present a set of theories which display nontrivial '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±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. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.80.2517
DOI:
10.1103/PhysRevLett.80.2517
PACS:
12.38.Aw
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