2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137323In 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.99 pages. Lecture notes on three two-hour lectures given by JMG during the third week of July 2005 in the Department of Physics of the Universidade Federal de Paraiba (Joao Pessoa, Brazil)High Energy Physics - TheoryMathematical Physicstext