Higgs- and Skyrme-Chern-Simons densities in all dimensions
D. H. Tchrakian
TL;DR
This paper introduces two novel types of Chern-Simons densities involving scalar fields, applicable in all dimensions, aiming to explore their impact on soliton solutions in various physical theories.
Contribution
It proposes Higgs- and Skyrme-Chern-Simons densities valid in all dimensions, expanding the toolkit for studying solitons in field theories.
Findings
New CS densities defined in all odd and even dimensions.
Potential to modify soliton solutions in theories with scalar fields.
Framework for future studies on topological effects in field theories.
Abstract
Two types of new Chern-Simons (CS) densities, both defined in all odd and even dimensions, are proposed. These new CS densities feature a scalar field interacting with a scalar. In one case this is a Higgs scalar while in the other it is a Skyrme scalar. The motivation is to study the effects of adding these new CS terms to a Lagrangian which supports static soliton solutions prior to their introduction.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.