## Dilute Instanton Gas of an O(3)Skyrme Model

• The pure-Skyrme limit of a scale-breaking Skyrmed O(3) sigma model in 1+1 dimensions is employed to study the effect of the Skyrme term on the semiclassical analysis of a field theory with instantons. The instantons of this model are self-dual and can be evaluated explicitly. They are also localised to an absolute scale, and their fluctuation action can be reduced to a scalar subsystem. This permits the explicit calculation of the fluctuation determinant and the shift in vacuum energy due to instantons. The model also illustrates the semiclassical quantisation of a Skyrmed field theory.

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Author: H. J. W. Müller-Kirsten, S.-N. Tamariana, D.H. Tchrakian, Frank Zimmerschied urn:nbn:de:hbz:386-kluedo-8691 Preprint English 1998 1998 Technische Universität Kaiserslautern 2000/04/03 Fachbereich Physik 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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