Twenty five years of Asymptotic Freedom

Nuclear Physics B - Proceedings Supplements

Volumn 74, Issue 1-3, 1999, Pages 426-446

  Gross, David J ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

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EID: 0033245424     PISSN: 09205632     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0920-5632(99)00208-X     Document Type: Article

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88. 0 decay rate to two photons in the chiral limit. The demonstration of Adler, and S. Adler and W. Bardeen, Phys. Rev. 182, 1517 (1969), that the coefficient of the anomaly was given exactly, by lowest order perturbation theory (the triangle graph) meant that the pion decay constant could yield information about the sum of the squares of the charges of the elementary constituents of the hadrons. This was used as one of the arguments for color [50]. The proof of non-renormalization of the anomaly was generalized to non-Abelian gauge theories by Bardeen. When 't Hooft's demonstration of the renormalizability of the electroweak theory [34] appeared many of us worried whether the axial anomalies would invalidate the proof. The argument that anomalies do spoil renormalizability, and the suggestion that the anomalies would cancel between Quarks and leptons if there was a charmed Quark, gave further impetus to the the idea of charm [74,73]. Later, the discovery of instantons [54], produced a convincing argument [55] as to the lact of a chiral U(1) symmetry of hadrons, which was in conflict with the observed spectrum of psuedoscalar mesons, and revealed the θ parameter of QCD [56].
89. 0 decay rate to two photons in the chiral limit. The demonstration of Adler, and S. Adler and W. Bardeen, Phys. Rev. 182, 1517 (1969), that the coefficient of the anomaly was given exactly, by lowest order perturbation theory (the triangle graph) meant that the pion decay constant could yield information about the sum of the squares of the charges of the elementary constituents of the hadrons. This was used as one of the arguments for color [50]. The proof of non-renormalization of the anomaly was generalized to non-Abelian gauge theories by Bardeen. When 't Hooft's demonstration of the renormalizability of the electroweak theory [34] appeared many of us worried whether the axial anomalies would invalidate the proof. The argument that anomalies do spoil renormalizability, and the suggestion that the anomalies would cancel between Quarks and leptons if there was a charmed Quark, gave further impetus to the the idea of charm [74,73]. Later, the discovery of instantons [54], produced a convincing argument [55] as to the lact of a chiral U(1) symmetry of hadrons, which was in conflict with the observed spectrum of psuedoscalar mesons, and revealed the θ parameter of QCD [56].
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