6 problems

Let $e_{\rm 3B}$ denote the ground-state energy per unit volume in the thermodynamic limit, let $\rho$ be the particle density, and let $b_{\mathcal M}(V)$ be the three-body scatte…

Fix the ratio $n/N$, where $n$ is the number of Bethe roots and $N$ is the system size, and let $C$ denote the contour described in the paper. Thermodynamic Bethe-root contour conj…

Effective-series thermodynamic-limit conjecture.

Consider a random loop configuration in a box $\Lambda$ of side length $L$, with loop lengths $\ell_j(\omega)$ ordered decreasingly. Let $m(\beta)$ denote the limiting density of p…

Let $H^L$ be the finite-volume Hamiltonian of an interacting Fermi gas in a periodic box, with ground-state energy $E^L$. For momentum ${\bf k}$, let $\epsilon^\pm({\bf k})$ denote…

Let $\rho_N(x,t)$ be the finite-volume reduced density matrix. Set ${\mathcal B}_L=\{n\in\mathbb Z:-w_L<n<w_L\}$,…