TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.2.042
TI  - Soliton confinement in the double sine-Gordon model
PY  - 2024/02/07
UR  - https://scipost.org/SciPostPhys.16.2.042
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 2
SP  - 042
A1  - Rutkevich, Sergei
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.16.2.042,
	title={{Soliton confinement in the double sine-Gordon model}},
	author={Sergei  Rutkevich},
	journal={SciPost Phys.},
	volume={16},
	pages={042},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.2.042},
	url={https://scipost.org/10.21468/SciPostPhys.16.2.042},
}