English

Differential configurational entropy for multi-field of the $\phi^6$ theory

High Energy Physics - Theory 2023-01-18 v1 Pattern Formation and Solitons

Abstract

The topological structures of a ϕ6\phi^6 theory with multi-field are studied. The ϕ6\phi^6 theory is interesting because it is a theory that allows the shrinkage of topological structures generating double-kink or even multi-kink configurations. In this work, we consider and study the solutions of a two real scalar fields model. To reach our purpose, we investigate the BPS properties of the fields using the approach proposed by Bogomol'nyi-Prasad-Sommerfield. Using the BPS energy density, the differential configurational entropy (DCE) of the BPS structures is studied. The result of the DCE indicates the most likely field configuration of one of the topological sectors of the model.

Keywords

Cite

@article{arxiv.2212.05324,
  title  = {Differential configurational entropy for multi-field of the $\phi^6$ theory},
  author = {F. C. E. Lima and C. A. S. Almeida},
  journal= {arXiv preprint arXiv:2212.05324},
  year   = {2023}
}

Comments

15 pages, 7 captioned figures. To appear in Europhysics Letters