Titlebook: Quantum Field Theory Under the Influence of External Conditions; Michael Bordag Textbook 1996 Springer Fachmedien Wiesbaden 1996 Casimir-E

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The Effective Lagrangian of Arbitrary Inhomogeneous Electromagnetic Fieldproposed. The constructed effective Lagrangian has been used for the investigation of the interaction between charged fermions in a dense environment. The possibility for formation of metastable electron bound states in a presence of external magnetic field is shown.

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Instantons in the Bag Model: Matrix Elements of Scalar Propagatorssless scalar particle in fundamental representation. Matrix elements of this function describe interaction of matter with the instanton. The Green function is expanded in wave functions that far from the instanton coincide with perturbative eigenfunctions. This gives the matrix elements in question.

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Textbook 1996 the University of Leipzig in September 1995.Contents: Casimir Effect - QED and QCD in External Fields - Ground State in External Fields - Quantum Fields in Black Hole Background - Topics in (Quantum) Gravity and in Quantum Optics - Appendix: Program of the Workshop - List of Participants

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Renormalization Group Flow of the Chern-Simons ParameterThe effective average actions for gauge theories and their associated exact renormalization group equations are briefly reviewed and an application to Chern-Simons theory is described.

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Gauge Theories in a BagI summarize some recent results, obtained with S. Duerr in [1], on multi-flavour gauge theories confined in the chiral limit enclosed in .= 2.-dimensional Euclidean bags. The dependence of the fermionic correlators and determinants on the boundary conditions is discussed. The chiral condensate in multi-flavour .. is found.