Soliton confinement in the double sine-Gordon model
arXiv:2311.07303 · doi:10.21468/SciPostPhys.16.2.042
Abstract
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.
arXiv comment30 pages, 10 figures. v2: revised version. Minor changes, one figure is modified, one citation added
References in corpus (18)
- Exact expectation values of local fields in quantum sine-Gordon model
- Real time confinement following a quantum quench to a non-integrable model
- Non-integrable Quantum Field Theories as Perturbations of Certain Integrable Models
- Non-integrable aspects of the multi-frequency Sine-Gordon model
- Energy spectrum of bound-spinons in the quantum Ising spin-chain ferromagnet
- Nonperturbative study of the two-frequency sine-Gordon model
- Excited state TBA and renormalized TCSA in the scaling Potts model
- Large-n excitations in the ferromagnetic Ising field theory in a small magnetic field: mass spectrum and decay widths
- Semiclassical Particle Spectrum of Double Sine-Gordon Model
- The k-folded sine-Gordon model in finite volume
- Double sine-Gordon model revisited
- Soliton Confinement in a Quantum Circuit
- Two-kink bound states in the magnetically perturbed Potts field theory at T<Tc
- Confinement in the spectrum of a Heisenberg-Ising spin ladder
- Kink confinement in the antiferromagnetic XXZ spin-1/2 chain in a weak staggered magnetic field
- Integrability, Non-integrability and confinement
- Spinon confinement in the gapped antiferromagnetic XXZ spin-1/2 chain
- Ising Spectroscopy I: Mesons at T < T_c