A New Anomaly Matching Condition?

Details A New Anomaly Matching Condition? A New Anomaly Matching Condition?

1992-11-24

arxiv.org/abs/hep-ph/9211299v1

Phys.Lett. B302 (1993) 230-236

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, LaTex, all macros included

Scientific paper

10.1016/0370-2693(93)90389-Y

We formulate ``Witten'' matching conditions for confining gauge theories. The conditions are analogous to 't Hooft's, but involve Witten's global SU(2) anomaly. Using a group theoretic result of Geng, Marshak, Zhao and Okubo, we show that if the fourth homotopy group of the flavor group $H$ is trivial ($\Pi_4(H) = 0$) then realizations of massless composite fermions that satisfy the 't Hooft conditions also satisfy the Witten conditions. If $\Pi_4 (H)$ is nontrivial, the new matching conditions can yield additional information about the low energy spectrum of the theory. We give a simple physical proof of Geng, et. al.'s result.

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