Quantum fluctuations around low-dimensional topological defects
High Energy Physics - Theory
2014-11-20 v1
Abstract
In these Lectures a method is described to analyze the effect of quantum fluctuations on topological defect backgrounds up to the one-loop level. The method is based on the spectral heat kernel/zeta function regularization procedure, and it is first applied to various types of kinks arising in several deformed linear and non-linear sigma models with different numbers of scalar fields. In the second part, the same conceptual framework is constructed for the topological solitons of the planar semilocal Abelian Higgs model, built from a doublet of complex scalar fields and one U(1) gauge field.
Cite
@article{arxiv.0909.2107,
title = {Quantum fluctuations around low-dimensional topological defects},
author = {J. Mateos Guilarte and A. Alonso-Izquierdo and W. Garcia Fuertes and M. de la Torre Mayado and M. J. Senosiain},
journal= {arXiv preprint arXiv:0909.2107},
year = {2014}
}
Comments
63 pages, 14 figures, expanded version of two lectures given by J.M.G. in 5th International School on Field Theory and Gravitation, Cuiaba, Brazil