Soliton confinement in the double sine-Gordon model

Autor:	Rutkevich, S. B.
Rok vydání:	2023
Předmět:	High Energy Physics - Theory Condensed Matter - Statistical Mechanics
Zdroj:	SciPost Phys. 16, 042 (2024)
Druh dokumentu:	Working Paper
DOI:	10.21468/SciPostPhys.16.2.042
Popis:	The double sine-Gordon field theory in the weak confinement regime is studied. It represents the small non-integrable deformation of the standard sine-Gordon model caused by the cosine perturbation with the frequency reduced by the factor of 2. This perturbation leads to the confinement of the sine-Gordon solitons, which become coupled into the 'meson' bound states. We classify the meson states in the weak confinement regime, and obtain three asymptotic expansions for their masses, which can be used in different regions of the model parameters. It is shown, that the sine-Gordon breathers, slightly deformed by the perturbation term, transform into the mesons upon increase of the sine-Gordon coupling constant. Comment: 30 pages, 10 figures. v2: revised version. Minor changes, one figure is modified, one citation added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2311.07303 Zobrazit plný text záznamu View this record from Arxiv