Detlef Lehmann

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. The reason for including this chapter is to make the book as selfcontained as possible. It should in particular be accessible to physicists, who normally have no training in formal logic. We present the basics of classical propositional logic and non-monotonic logic. In fact, it is possible to provide the reader with all the logical equipment he needs in(More)
A generalization of neural networks called Boolean networks is considered. Random (n,k)-networks consist of n processors, each connected randomly to k others, computing random k-input Boolean functions. The dynamic behavior of these networks has been studied extensively. The authors examine the asynchronous dynamics of these networks, and prove that(More)
In an effective theory containing only quark degrees of freedom, such as the extended Nambu– Jona–Lasinio model, the influence of the axial anomaly can be incorporated by a self-interaction of the ’t Hooft determinant type. I will show that despite the theshold problem related to the η′ meson this leads to a significant suppression of the η′ coupling gη′qq(More)
We prove that the global minimum of the real part of the full effective potential of the many electron system with attractive delta interaction is in fact given by the BCS mean field configuration. This is a consequence of a simple bound which is obtained by applying Hadamard’s inequality to the functional determinant. The second order Taylor expansion(More)
In an effective theory containing only quark degrees of freedom, such as the extended Nambu–Jona–Lasinio model, the influence of the axial anomaly can be incorporated by a self-interaction of the ’t Hooft determinant type. I will show that this leads to a significant suppression of the η coupling gη′qq to dynamical quarks which suggests a suppression of the(More)