Skyrme-Faddeev Lagrangian from reformulated Georgi-Glashow model
Ahmad Mohamadnejad
TL;DR
This paper introduces a new method to derive the Skyrme-Faddeev Lagrangian from a reformulated Georgi-Glashow model, revealing the emergence of vortices and monopoles through additional constraints.
Contribution
It presents a novel approach using Faddeev and Niemi's decomposition to connect the Georgi-Glashow model with the Skyrme-Faddeev Lagrangian, highlighting the role of extra constraints.
Findings
Derivation of Skyrme-Faddeev Lagrangian from Georgi-Glashow model
Identification of vortices and monopoles due to constraints
Introduction of a simple, new derivation method
Abstract
Recently we proposed a decomposition for fields of the Georgi-Glashow model and interpreted Cho's decomposition as a result of some constraints on Georgi-Glashow's fields. Now, using the decomposition form that Faddeev and Niemi proposed, we introduce a simple and novel method to derive the Skyrme-Faddeev Lagrangian from the reformulation of the Georgi-Glashow model with an extra constraint. As we showed before, this extra constraint leads to appearance of both vortices and monopoles.
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