Abstract
Using the BPS Lagrangian method we show that all known BPS submodels of the generalized Skyrme model, with a particular ansatz for the fields content, can be divided into three groups based on the (effective) number of derivative-terms in the BPS submodels. We are able to derive rigorously the Bogomolny's equations of those BPS submodels. The resulting Bogomolny's equations, along with possible constraint equations, are in general forms in which some of the known BPS submodels may contain other possible non-trivial (non-vacuum) solutions then the ones found in the literature. Furthermore, we derive some other new BPS submodels of the generalized Skyrme model for each of the groups and some of them yield new solutions.
Highlights
In large-Nc limit, the QCD is known to be equivalent to an effective theory of mesons [1]
The large-Nc theory of mesons is not fully understood, at least at low energy this theory reduces to a nonlinear sigma model of spontaneously broken chiral symmetry [3]
The Skyrme model is a type of nonlinear sigma model which contains a topological soliton known as Skyrmion and it was initially proposed to model the nucleon [5,6,7]
Summary
In large-Nc limit, the QCD is known to be equivalent to an effective theory of mesons [1]. The Skyrme model is a type of nonlinear sigma model which contains a topological soliton known as Skyrmion and it was initially proposed to model the nucleon [5,6,7]. The Skyrmion static energy has a lower bound proportional to a topological degree B, which is identified as baryon number This is known from employing the original Bogomolny method [10, 11]. We will use the BPS Lagrangian method proposed in [35] to find Bogomolny equations in some submodels of the generalized Skryme model This method initially had been used for some models of vortices and it had been used for nonabelian magnetic monopoles and dyons [43, 44]. We implement the method to some known submodels and some new ones
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
