Differential equation for local magnetization in the boundary Ising model
Abstract
We show that the local magnetization in the massive boundary Ising model on the half-plane with boundary magnetic field satisfies second order linear differential equation whose coefficients are expressed through Painleve function of the III kind.
- Publication:
-
Nuclear Physics B
- Pub Date:
- April 2009
- DOI:
- arXiv:
- arXiv:0808.3808
- Bibcode:
- 2009NuPhB.811..385M
- Keywords:
-
- Mathematical Physics;
- Condensed Matter - Statistical Mechanics;
- High Energy Physics - Theory;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- 11 pages