High temperature effects on compact-like structures

Abstract

In this work we investigate the transition from kinks to compactons at high temperatures. We deal with a family of models, described by a real scalar field with standard kinematics, controlled by a single parameter, real and positive. The family of models supports kink-like solutions, and the solutions tend to become compact when the parameter increases to larger and larger values. We study the oneloop corrections at finite temperature, to see how the thermal effects add to the effective potential. The results suggest that the symmetry is restored at very high temperatures.

Quasi-compact Q-balls

“…In [29], in particular, we investigated Q-balls with the novel compact profile. The analytical results that we have found in [28][29][30] motivated us to further examine the subject to find other analytical configurations that are stable, but different from the standard and the compact Q-balls. In this sense, in the current work we continue the search for analytical configurations, but now we concentrate on the presence of solutions that are different from the standard and the compact configurations.…”

“…In the other side of the angular frequency range, for ω → ω + , the charge vanishes. We have shown in the recent investigation [28] that the solution (20) exhibits quantum mechanical stability for a > 0.22268. The classical stability is only achieved for a > 0.22540, which is the range that ensures all of the aforementioned types of stability.…”

“…In the simpler context with a single space dimension, global Q-balls were also studied by us in the recent works [28][29][30]. There, we focused mainly on the presence of analytical solutions with distinct behavior.…”

“…Below, we review the standard Q-ball, driven by the |ϕ| 4 potential investigated in Ref. [28], and the compact Q-ball described in Ref. [29], whose solution and energy density exists only in a compact space.…”

“…This model was studied in Refs. [2,3,28]. As one knows, due to the presence of time in the ansatz (3), this potential is influenced by the angular frequency in the equation of motion.…”