Fields, particles and universality in two dimensions
arXiv:1502.05538 · doi:10.1016/j.aop.2015.05.020
Abstract
We discuss the use of field theory for the exact determination of universal properties in two-dimensional statistical mechanics. After a compact derivation of critical exponents of main universality classes, we turn to the off-critical case, considering systems both on the whole plane and in presence of boundaries. The topics we discuss include magnetism, percolation, phase separation, interfaces, wetting.
58 pages, 19 figures. Expanded notes of lectures given at the school "Statistical Field Theories", GGI Arcetri, Florence, February 2015; v2: references added