Vortices in Vacuumless Systems

Marques, M. A.

doi:10.1155/2019/9406585

Search citation statements

Order By: Relevance

Paper Sections

Select...

Summary and Applications1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 84 publications

(137 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A runaway potential has been also considered in a version of the Abelian Higgs model [47]. One can expect that the obtained vortices provide another example of incompressible solitons.…”

Section: Summary and Applicationsmentioning

confidence: 99%

Incompressible topological solitons

et al. 2020

View full text Add to dashboard Cite

We discover a new class of topological solitons. These solitons can exist in a space of infinite volume like, e.g., R n , but they cannot be placed in any finite volume, because the resulting formal solutions have infinite energy. These objects are, therefore, interpreted as totally incompressible solitons. As a first particular example we consider (1+1) dimensional kinks in theories with a nonstandard kinetic term or, equivalently, in models with the so-called runaway (or vacummless) potentials. But incompressible solitons exist also in higher dimensions. As specific examples in (3+1) dimensions we study Skyrmions in the dielectric extensions both of the minimal and the BPS Skyrme models. In the the latter case, the skyrmionic matter describes a completely incompressible topological perfect fluid.

show abstract

“…A runaway potential has been also considered in a version of the Abelian Higgs model [47]. One can expect that the obtained vortices provide another example of incompressible solitons.…”

Section: Summary and Applicationsmentioning

confidence: 99%