Self-dual configurations in Abelian Higgs models with k-generalized gauge field dynamics

Abstract

Abstract:We have shown the existence of self-dual solutions in new Maxwell-Higgs scenarios where the gauge field possesses a k-generalized dynamic, i.e., the kinetic term of gauge field is a highly nonlinear function of F µν F µν . We have implemented our proposal by means of a k-generalized model displaying the spontaneous symmetry breaking phenomenon. We implement consistently the Bogomol'nyi-Prasad-Sommerfield formalism providing highly nonlinear self-dual equations whose solutions are electrically neutral possessing total energy proportional to the magnetic flux. Among the infinite set of possible configurations, we have found families of k-generalized models whose self-dual equations have a form mathematically similar to the ones arising in the Maxwell-Higgs or ChernSimons-Higgs models. Furthermore, we have verified that our proposal also supports infinite twinlike models with |φ| 4 -potential or |φ| 6 -potential. With the aim to show explicitly that the BPS equations are able to provide well-behaved configurations, we have considered a test model in order to study axially symmetric vortices. By depending of the self-dual potential, we have shown that the k-generalized model is able to produce solutions that for long distances have a exponential decay (as Abrikosov-Nielsen-Olesen vortices) or have a power-law decay (characterizing delocalized vortices). In all cases, we observe that the generalization modifies the vortex core size, the magnetic field amplitude and the bosonic masses but the total energy remains proportional to the quantized magnetic flux.

Self-dual solitons in a generalized Chern-Simons baby Skyrme model

“…Principally, the new solitons may present quite different features than those found in the usual models. There are many results in models characterized by possessing nonstandard kinetic terms, for example, in [29][30][31][32][33][34][35][36][37], including supersymmetric extensions [38,39]. Moreover, we list additional applications, for example, in the inflationary phase of the universe [40], in strong gravitational waves [41], tachyon matter [42], dark matter [43], black holes [44,45], and other topics [46,47].…”

Long range vortex configurations in generalized models with the Maxwell or Chern-Simons dynamics

“…Notice this result is different from the energy obtained in the Maxwell-Higgs model, which is constant, as one can find below Eq. (13). As stated before, even though the solutions and magnetic field are the same of Fig.…”

“…This shows the longe range character of the vortex. The magnetic field (7) and energy density (13) are…”

Long range vortex configurations in generalized models with Maxwell or Chern-Simons dynamics

“…This shows the long range character of the vortex. The magnetic field (7) and energy density (13) are…”

“…Over the years, several papers dealing with vortices in generalized models appeared in the literature making use of other types of generalizations, such as the Born-Infeld dynamics and powers of the dynamical term of the scalar field; see, e.g., Refs. [7][8][9][10][11][12][13][14][15][16][17][18]. This brings to light distinct features, such as uniform magnetic field inside the structure, compact vortices, and the existence of twinlike models, which are models that support the very same localized solution with the same energy density.…”