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arXiv · hep-th/9808165

Dilute Instanton Gas of an O(3) Skyrme Model

H. J. W. Mueller-Kirsten·S. -N. Tamarian·D. H. Tchrakian·F. Zimmerschied
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Abstract

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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H. J. W. Mueller-Kirsten, S. -N. Tamarian, D. H. Tchrakian, F. Zimmerschied. 1998-08-27. Dilute Instanton Gas of an O(3) Skyrme Model. https://doi.org/10.1016/s0370-2693(98)00967-8

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