Introduces Linearized Soliton Perturbation Theory (LSPT) as a Hamiltonian tool for explicit construction of quantum soliton states and their perturbative corrections, including scattering applications.
Mass Formulas for Static Solitons
8 Pith papers cite this work, alongside 76 external citations. Polarity classification is still indexing.
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For infinitely extended solitons the translation zero mode can be given a normalizable wave function, and the resulting Stokes scattering probability for exciting a string's translation mode is computed.
The authors compute the anti-Stokes scattering cross section for a domain wall string shape mode in a scalar theory, yielding a wave-packet-independent analytic formula for arbitrary incident angle and impact parameter.
The leading kink mass splitting in the MSTB model is proportional to exp(-4m^2 α^3/(3√2 λ)).
The one-loop domain wall tension in 3+1d phi^4 theory is computed as m^3/(3λ) + 0.0410959 m^3 under a chosen renormalization scheme.
The one-loop domain wall tension in φ^4_4 is finite because the positive divergence from the displacement operator is exactly cancelled by the negative divergence from the squeeze (Bogoliubov) contribution.
New spectral and perturbation methods for one-loop domain wall tension agree with dimensional regularization when the renormalization scheme is the same.
Meson scattering off a (2+1)-dimensional domain wall string can excite or de-excite the string's shape mode, and this paper gives the leading-order probability densities for both processes, including forward and backward scattering.
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Krakow Lectures on Scalar Quantum Solitons
Introduces Linearized Soliton Perturbation Theory (LSPT) as a Hamiltonian tool for explicit construction of quantum soliton states and their perturbative corrections, including scattering applications.
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Scheme Dependence of the One-Loop Domain Wall Tension
New spectral and perturbation methods for one-loop domain wall tension agree with dimensional regularization when the renormalization scheme is the same.