Decay of a large-amplitude bubble of a disoriented chiral condensate

Abstract

The time evolution of initially formed large amplitude bubble of disoriented chiral condensate (DCC) is studied. It is found that the evolution of this object may have a relatively long pre-decay stage. Simple explanation of such delay of the DCC bubble decay is given. This delay is related to the existence of the approximate solutions of multi-soliton type of the corresponding radial sine-Gordon equation in (3+1) dimensions at large bubble radius. *

Classical transitions with the topological number changing in the early Universe

“…Here we will study a particular solutions in the form of the one-dimensional kinks. Multi-field inflationary models could thus potentially benefit from connections to (1 + 1)-dimensional field-theoretical models with potentials with one or more minima, where many interesting and important results have been obtained recently, in particular, related to interactions of solitary waves [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48], solitons and domains stability [49][50][51][52][53], and planar domain walls [54][55][56][57][58][59][60], see also review [61] and books [17,62].…”

Resonance phenomena in theφ8kinks scattering

“…For example, models with polynomial potentials are often used in the description of domain walls, phase transitions in condensed matter and in the early Universe, etc. Models with nonpolynomial potentials, such as sine-Gordon, modified sine-Gordon, and double sine-Gordon, are used to describe disoriented chiral condensate [22,23], some processes in ferro-magnets, Josephson contacts, in some nematic liquid crystals, and so on. One of the classical examples is that the dynamics of planar domain walls can be reduced to the kink-(anti)kink interaction [24].…”

Transitions between topologically non-trivial configurations

“…Nevertheless, we will study onedimensional configurations. Thus the multi-field inflationary models are connected with (1 + 1)dimensional field-theoretical models, where many important results have been obtained recently, in particular, related to soliton interactions [11][12][13][14][15][16][17][18][19], soliton stability [20], bubble decay [21,22], and planar domain walls [23][24][25][26][27][28], see also book [9] and review [29].…”