Anomalies and WZW-term of two-flavour QCD

Details Anomalies and WZW-term of two-flavour QCD Anomalies and WZW-term of two-flavour QCD

2000-11-29

arxiv.org/abs/hep-ph/0011377v1

Phys.Rev. D63 (2001) 076010

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 1 figure

Scientific paper

10.1103/PhysRevD.63.076010

The U(2)_R x U(2)_L symmetry of QCD with two massless flavours is subject to anomalies which affect correlation functions involving the singlet currents A^0_\mu or V^0_\mu. These are relevant for pion-photon interactions, because - for two flavours - the electromagnetic current contains a singlet piece. We give the effective Lagrangian required for the corresponding low energy analysis to next-to-leading order, without invoking an expansion in the mass of the strange quark. In particular, the Wess-Zumino-Witten term that accounts for the two-flavour anomalies within the effective theory is written down in closed form.

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