Investigation of restricted baby Skyrme models

Abstract

A restriction of the baby Skyrme model consisting of the quartic and potential terms only is investigated in detail for a wide range of potentials. Further, its properties are compared with those of the corresponding full baby Skyrme models. We find that topological (charge) as well as geometrical (nucleus/shell shape) features of baby skyrmions are captured already by the soliton solutions of the restricted model. Further, we find a coincidence between the compact or non-compact nature of solitons in the restricted model, on the one hand, and the existence or nonexistence of multi-skyrmions in the full baby Skyrme model, on the other hand.

Magnetothermodynamics of BPS baby skyrmions

“…It has been previously found that the model preserves many properties of the original ungauged version [41][42][43]. First of all, there is a BPS bound which can be saturated by the corresponding BPS configurations.…”

“…In fact, there exists a (2 + 1) dimensional version of the Skyrme model, usually referred to as the baby Skyrme model, which supports solitonic solutions (baby skyrmions) [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38] (for the gauged version see [39,40]). This field theory also possesses its BPS limit, whose Lagrangian consists of the (2+1) dimensional version of the Skyrme term and a potential [41][42][43]. Moreover, there is again a gauged version of this model, the so-called gauged BPS baby Skyrme model, which has been analyzed recently in the case of an asymptotically vanishing magnetic field [44].…”

Some aspects of self-duality and generalised BPS theories

“…And, indeed, field theories based on versions of the above energy functional [7]- [15] are known to support both Bogomolnyi bounds and topological BPS solitons [10]- [15]. Among these BPS theories there are BPS submodels of some well-known and relevant non-linear field theories like, e.g., the Skyrme [16][17][18] and baby Skyrme [19][20][21][22][23] models or the abelian Higgs model, which makes them all the more interesting also from a phenomenological perspective (see, e.g., [24,25]).…”

Volume of a vortex and the Bradlow bound

“…ð4:29Þ which is closely related to the so-called BPS baby Skyrme model [27][28][29][30]. It consists of two parts, a fourth derivative term which has a vacuum at juj ¼ 1.…”