5 problems

Consider the Sine–Gordon model with action … Here $\beta>0$ is the coupling constant, $g$ is the interaction cutoff, and the massless model has solitons and anti-solitons. The mass…

Nonvanishing conjecture. The polynomial $P_N$ satisfies

The massive Thirring model has a Lax spectral problem whose continuous spectrum contains the imaginary axis. Multiple embedded-eigenvalue conjecture. Multiple embedded eigenvalues…

Let the conserved integrals be defined by the expansion … Here $\widetilde I_3^{(2n)}$ denotes the integral of order $2n$, and an integral is trivial when it vanishes because its d…

Consider the conserved quantities $I_3^{(n)}$ obtained from the positive-power expansion of the generating function in the coupled massive Thirring model. An integral is trivial wh…