Abstract
We investigate multi-flavour gauge theories confined in ( d = 2 n)-dimensional/euclidean bags. The boundary conditions for the ‘quarks’ break the axial-flavour symmetry and depend on a parameter θ. We determine the θ-dependence of the fermionic correlators and determinants and find that a CP-breaking θ-term is generated dynamically. As an application we calculate the chiral condensate in multi-flavour QED 2 and the abelian projection of QCD 2. In the second model a condensate is generated in the limit where the number of colours, N c tends to infinity. We prove that the condensate in QCD 2 decreases with increasing bag radius R at least as R −1/ N c N f. Finally we determine the correlators of mesonic currents in QCD 2.
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