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Anomalies and WZW-term of two-flavour QCD

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arxiv hep-ph/0011377 v1 pith:7CLQWLHJ submitted 2000-11-29 hep-ph

classification hep-ph
keywords anomalieseffectiveflavourssinglettwo-flavouraccountsaffectanalysis
verification ladder T0 review T1 audit T2 compute T3 formal
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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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    In chiral perturbation theory, the QCD vacuum responds nonlocally to an inhomogeneous magnetic field, yielding parameter-free NLO predictions for the free energy, chiral condensate, and an induced vacuum current.

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