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Prog. Theor. Phys. Vol. 71 No. 4 (1984) pp. 822-830

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Structure of Massless Composite Fermions and Large N Limit

Shoichiro Otsuki and Fumihiko Toyoda*

Department of Physics, Kyushu University 33, Fukuoka 812
*The Second Department, Kinki University, Iizuka 820

(Received July 18, 1983)

Abstract:

Composite fermions with two flavor chiral symmetry, which is massless by satisfying the anomaly conditions, are examined in the large N limit of underlying SU(N) gauge theory. In the case when the fermion F is an N-body composite of massless chiral fermionic constituent f belonging to N-plet of SU(N), neither the planar dominance nor the OZI suppression holds in the large N limit. In contrast, when one fermionic constituent f and one bosonic constituent ϕ of N-plet are bound into the massless F=f ϕ, both the planar dominance and the OZI suppression are possible to be guaranteed. As an application, some results in the large N limit when the latter type structure is assumed for massless composite quarks and leptons with the Pati-Salam index are also given.


URL : http://ptp.ipap.jp/link?PTP/71/822/
DOI : 10.1143/PTP.71.822

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