Instantons and sphalerons in skyrmed Weinberg-Salam models and Grassmannian models

Citation
F. Brau et al., Instantons and sphalerons in skyrmed Weinberg-Salam models and Grassmannian models, INT J MOD P, 15(2), 2000, pp. 251-264
Citations number
20
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
ISSN journal
0217751X → ACNP
Volume
15
Issue
2
Year of publication
2000
Pages
251 - 264
Database
ISI
SICI code
0217-751X(20000120)15:2<251:IASISW>2.0.ZU;2-J
Abstract
Several Lagrangians describing the SU(2) Yang-Mills (YM) field interacting with matter are considered, which support both instantons tin four Euclidea n dimensions) and sphaleron (in three dimensions, static) solutions. The ma tter fields are the complex Higgs doublet for the Weinberg-Salam (WS) model , and a (2 x 4) Grassmannian model. These Lagrangians feature Skyrme-like e xtensions to enable the existence of the instantons, which decay as pure ga uge at infinity. For two of these models, we have numerically integrated th e one-dimensional system arising from the imposition of radial ansatz.