Domain defects in systems of two real scalar fields

Abstract

In this work we investigate the role of the symmetry of the Lagrangian on the existence of defects in systems of coupled scalar fields. We focus attention mainly on solutions where defects may nest defects. When space is non-compact we find topological BPS and non-BPS solutions that present internal structure. When space is compact the solutions are nontopological sphalerons, which may be nested inside the topological defects. We address the question of classical stability of these topological and nontopological solutions and investigate how the thermal corrections may modify the classical scenario.

Bloch Brane

“…In Ref. [21,22,23,24] it was shown that this bound can be obtained in two-field models defined by the potential…”

“…[21] one introduces a simple model, described by two real scalar fields, which support both Ising and Bloch walls -see, e.g., Ref. [22,23,24] for further details on the two-field model, and on Ising and Bloch walls. The approach introduced in Ref.…”

Multiresonance modes in sine–Gordon brane models

“…For further details, see reviews in the Refs. [3,[25][26][27][28][29][30][31][32] and references therein. Now, we make the connection to the sine-Gordon (SG) model taking the superpotential in the form…”

“…Now we need to consider a curved space-time and the dilaton coupling. Therefore, to maintain the first order equations (27) we write the potential as (26) with the new superpotential (37), that results in …”

Kinks and Domain Walls in Models for Real Scalar Fields

“…Examples of this are the φ 4 and φ 6 models [5]. In the second class of models we deal with systems defined by two real scalar fields, and now one opens two new possibilities: domain walls that admit internal structure [8,9,10,11,12,13,14], and junctions of domain walls, which appear in models of two fields when the potential contains non-collinear minima, as recently investigated for instance in Refs. [15,16,17,18,19,20,21,22,23,24,25,26,27].…”