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Lectures on the mass of topological solitons

A. Alonso Izquierdo·W. Garcia Fuertes·M. A. Gonzalez Leon·M. de la Torre Mayado·J. Mateos Guilarte·J. M. Munoz Castaneda
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Abstract

In this series of lectures a method is developed to compute one-loop shifts to classical masses of kinks, multi-component kinks, and self-dual vortices. Canonical quantization is used to show that the mass shift induced by one-loop quantum fluctuations is the trace of the square root of the differential operator governing these fluctuations. Standard mathematical techniques are used to deal with some powers of pseudo-differential operators. Ultraviolet divergences are tamed by using generalized zeta function regularization methods and, then performing zero-point energy and mass renormalizations.

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A. Alonso Izquierdo, W. Garcia Fuertes, M. A. Gonzalez Leon, M. de la Torre Mayado, J. Mateos Guilarte, J. M. Munoz Castaneda. 2007-09-05. Lectures on the mass of topological solitons. https://arxiv.org/abs/hep-th/0611180

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