Domain ribbons inside domain walls at finite temperature

Abstract

In this paper we deal with defects inside defects in systems of two scalar fields in 3 + 1 dimensions. The systems we consider are defined by potentials containing two real scalar fields, and so we are going to investigate domain ribbons inside domain walls. After introducing some general comments on the possibility of finding defects that support internal structure in two specific systems, we introduce thermal effects to show how the picture for domain walls hosting domain ribbons appears at high temperature.

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].…”

Complete factorization of equations of motion in supersymmetric field theories

“…A very specific motivation concerns the presence of domain walls arising in between non zero vacuum expectation values of scalar fields in supergravity [5,6]. Another line deals with the formation of defects inside domain walls [7][8][9]. A great deal of attention has also been drawn to SU (N ) supersymmetric gluodynamics, where nonperturbative effects give rise to gluino condensates that may form according to a set of N isolated degenerate chirally asymmetric vacua, from where domain walls spring interpolating between pairs of vacua [10].…”

“…They usually live in three spatial dimensions as bidimensional objects that arise in systems described by potentials that contain at least two isolated degenerate minima. They involve energy scales as different as the ones that appear in Condensed Matter [1] and in Cosmology [2].A lot of attention has been drawn recently to domain walls in field theories, in models that have been investigated under several distinct motivations [3][4][5][6][7][8][9][10][11][12][13][14][15]. A very specific motivation concerns the presence of domain walls arising in between non zero vacuum expectation values of scalar fields in supergravity [5,6].…”

CHAOTIC BEHAVIOR IN A Z2 × Z2 FIELD THEORY

“…(12) and (13), as well as distinct features for the static solutions. It is important to say that in the two particular cases when r = 1 and when r = −2 the two fields decouples [17] and so we expect no chaotic behavior in these two cases. First we show that, from the point of view of the topological soliton solutions admitted by Eqs.…”

“…In 1 + 1 dimensions this system presents interesting soliton solutions [14], which has been used in applications in condensed matter [15] and in field theory [16][17][18]. The equations of motion for φ = φ(x, t) and χ = χ(x, t) are given by…”