Preface to the First Edition xvii Preface to the Second Edition xix How to Read this Book xxi Notation and Conventions xxii 13 Anomalies in Gange Field Theories 501 13.1 Introduction 13.2 Abelian anomalies 13.2.1 Fujikawa's method 503 13.3 Non-Abelian anomalies 508 13.4 The Wess-Zumino consistency conditions 512 13.4.1 The Becchi-Rouet-Stora Operator and the Faddeev-Popov ghost 13.4.2 The BRS operator, FP ghost and moduli space 513 13.4.3 The Wess-Zumino conditions 515 13.4.4 Descent equations and solutions of WZ conditions 515 13.5 Abelian anomalies versus non-Abelian anomalies 518 13.5.1 m dimensions versus m + 2 dimensions 520 13.6 The parity anomaly in odd-dimensional spaces 13.6.1 The parity anomaly 13.6.2 The dimensional ladder: 4-3-2
It is shown theoretically that a persistent current can be continuously created in a Bose-Einstein condensate (BEC) of alkali atoms confined in a multiply connected region by making use of a spindegree of freedom of the order parameter of a BEC. We demonstrate that this persistent current is easily transformed into a vortex. Relaxation processes of these BEC after the confining field is turned off are also studied so that our analyses are compared with time of flight experiments. The results are shown to clearly reflect the existence of a persistent current.
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