3 papers
hep-th2026
Hirota-tau and Heun-function framework for Dirac vacuum polarization and quantum stabilization of kinks
Harold Blas
We investigate a modified affine Toda model coupled to matter (ATM) which includes a scalar self-interacting potential and demonstrate that its first-order integro-differential str…
math-ph2026
Heun-function analysis of the Dirac spinor spectrum in a sine-Gordon soliton background
H. Blas, R. P. N. Laeber Fleitas, J. Silva Barroso
We study the Dirac spectrum in a sine-Gordon soliton background, where the induced position-dependent mass reduces the spectral problem to a Heun-type differential equation. Bound…
hep-th2025
Fermionic back-reaction on kink and topological charge pumping in the affine Toda coupled to matter
H. Blas, R. Quicaño
We explore the Faddeev-Jackiw (F-J) symplectic Hamiltonian reduction of the affine Toda model coupled to matter (ATM), which includes new parametrizations for a scalar fiel…