1994/12/15 by Andreas Wipf, A. Wipf, Stephan Dürr +1 · 51 citations
Mathematics · Physics and Astronomy · #Abelian group #Flavour #Gauge (firearms) #Gauge symmetry #Gauge theory #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quark #hep-th
paper · pdf · doi:10.1016/0550-3213(95)00114-8
published in Nuclear Physics B 443(1-2), 201-232 (Elsevier BV) · 40 pages, LATEX-file
arxiv created 1994/12/15 · openalex publication_date 1995/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate multi-flavour gauge theories confined in d\es 2n-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 QED2 and the abelian projection of QCD2. In the second model a condensate is generated in the limit where the number of colours, Nc, tends to infinity. We prove that the condensate in QCD2 decreases with increasing bag radius R at least as ∼ R-1/NcNf. Finally we determine the correlators of mesonic currents in QCD2.