Classical transitions with the topological number changing in multifield inflation [CL]

http://arxiv.org/abs/1704.03688


We consider a multi-field inflationary model with two real scalar fields. The solitons of this model are field configurations that have the form of closed loops in the field space. We study the formation and evolution of these solitons, in particular, the conditions at which they could be formed even when the model potential has only one minimum in the field space. These non-trivial field configurations represent planar domain walls in the three-dimensional physical space. The set of these configurations can be split into disjoint equivalence classes. We provide a simple expression for the winding number of an arbitrary closed loop in the field space and discuss the transitions that change the winding number.

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V. Gani, A. Kirillov and S. Rubin
Mon, 17 Apr 17
9/24

Comments: 14 pages, 7 figures