Lectures on the mass of topological solitons

Details Lectures on the mass of topological solitons Lectures on the mass of topological solitons

2006-11-16

arxiv.org/abs/hep-th/0611180v2

Physics

High Energy Physics

High Energy Physics - Theory

99 pages. Lecture notes on three two-hour lectures given by JMG during the third week of July 2005 in the Department of Physic

Scientific paper

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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