The Couplings of the Pion to Two Gauge Fields and to Leptons in a Dynamically Broken Gauge Theory

we show how a spontaneously broken gauge theory of fermions endowed with a composite scalar multiplet becomes naturally anomaly-free, and yet describes the correct couplings of the pion to two gauge fields and to leptons: the first coupling is the same as computed from the chiral anomaly, and the second identical with that obtained from the ‘Partially Conserved Axial Current’ hypothesis. For the sake of simplicity, we only study here the abelian case. PACS: 11.15.Ex, 11.40.Fy, 11.40.Ha, 12.15.Cc, 12.50.Lr, 13.20.Cz, 13.40.Hq, 14.40.Aq, 14.80.Gt Member of Centre National de la Recherche Scientifique LPTHE tour 16/1er étage, Université P. et M. Curie, BP 126, 4 place Jussieu, F 75252 PARIS CEDEX 05 (France). E-mail: [email protected]