Lectures on the mass of topological solitons
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.
Keywords
Cite
@article{arxiv.hep-th/0611180,
title = {Lectures on the mass of topological solitons},
author = {A. Alonso Izquierdo and W. Garcia Fuertes and M. A. Gonzalez Leon and M. de la Torre Mayado and J. Mateos Guilarte and J. M. Munoz Castaneda},
journal= {arXiv preprint arXiv:hep-th/0611180},
year = {2007}
}
Comments
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)