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Title: “Half a proton” in the Bogomol’nyi-Prasad-Sommerfield Skyrme model

Abstract

The BPS Skyrme model is a model containing an SU(2)-valued scalar field, in which a Bogomol’nyi-type inequality can be satisfied by soliton solutions (skyrmions). In this model, the energy density of static configurations is the sum of the square of the topological charge density plus a potential. The topological charge density is nothing else but the pull-back of the Haar measure of the group SU(2) on the physical space by the field configuration. As a consequence, this energy expression has a high degree of symmetry: it is invariant to volume preserving diffeomorphisms both on physical space and on the target space. We demonstrate here that in the BPS Skyrme model such solutions exist that a fraction of its charge and energy densities is localised, and the remaining part can be far away, not interacting with the localised part.

Authors:
 [1]
  1. MTA Wigner RCP, RMI, P.O. Box 49, Budapest H1525 (Hungary)
Publication Date:
OSTI Identifier:
22596591
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 57; Journal Issue: 7; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MATHEMATICAL SOLUTIONS; SCALAR FIELDS; SOLITONS; SYMMETRY; TOPOLOGY

Citation Formats

Lukács, Árpád. “Half a proton” in the Bogomol’nyi-Prasad-Sommerfield Skyrme model. United States: N. p., 2016. Web. doi:10.1063/1.4959234.
Lukács, Árpád. “Half a proton” in the Bogomol’nyi-Prasad-Sommerfield Skyrme model. United States. doi:10.1063/1.4959234.
Lukács, Árpád. Fri . "“Half a proton” in the Bogomol’nyi-Prasad-Sommerfield Skyrme model". United States. doi:10.1063/1.4959234.
@article{osti_22596591,
title = {“Half a proton” in the Bogomol’nyi-Prasad-Sommerfield Skyrme model},
author = {Lukács, Árpád},
abstractNote = {The BPS Skyrme model is a model containing an SU(2)-valued scalar field, in which a Bogomol’nyi-type inequality can be satisfied by soliton solutions (skyrmions). In this model, the energy density of static configurations is the sum of the square of the topological charge density plus a potential. The topological charge density is nothing else but the pull-back of the Haar measure of the group SU(2) on the physical space by the field configuration. As a consequence, this energy expression has a high degree of symmetry: it is invariant to volume preserving diffeomorphisms both on physical space and on the target space. We demonstrate here that in the BPS Skyrme model such solutions exist that a fraction of its charge and energy densities is localised, and the remaining part can be far away, not interacting with the localised part.},
doi = {10.1063/1.4959234},
journal = {Journal of Mathematical Physics},
number = 7,
volume = 57,
place = {United States},
year = {Fri Jul 15 00:00:00 EDT 2016},
month = {Fri Jul 15 00:00:00 EDT 2016}
}