Elliott H. Lieb, Yisong Yang. Non-abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods


Natural Sciences / Physics / Particle physics

Submitted on: Aug 30, 2012, 09:13:25

Description: Vortices in supersymmetric gauge field theory are important constructs in a basic conceptual phenomenon commonly referred to as the dual Meissner effect which is responsible for color confinement. Based on a direct minimization approach, we present a series of sharp existence and uniqueness theorems for the solutions of some non-Abelian vortex equations governing color-charged multiply distributed flux tubes, which provide an essential mechanism for linear confinement. Over a doubly periodic domain, existence results are obtained under explicitly stated necessary and sufficient conditions that relate the size of the domain, the vortex numbers, and the underlying physical coupling parameters of the models. Over the full plane, existence results are valid for arbitrary vortex numbers and coupling parameters. In all cases, solutions are unique.

The abstract of this article will be published in the August 2012 issue of "Intellectual Archive Bulletin", ISSN 1929-1329.

The Library and Archives Canada reference page: collectionscanada.gc.ca/ourl/res.php?url_ver=Z39.88......

To read the article posted on Intellectual Archive web site please click the link below.

Yisong_Yang__Non-Abelian_Vortices.pdf



© 2011-2017 Shiny World Corp. All rights reserved. To reach us please send an e-mail to support@IntellectualArchive.com