  The low-energy physics of quantum chromodynamics (QCD) and ferromagnets is
dominated by Goldstone bosons. While the effective theory of QCD - chiral
perturbation theory - is well established in the particle physics community,
the systematic studies of ferromagnetic systems within the effective Lagrangian
framework are not well-known. We analyze the low-temperature properties of
ferromagnets in one, two and three space dimensions up to three-loop order in
the effective expansion, i.e., beyond the accuracy of any previous results
obtained with conventional condensed matter methods. In particular, in the
nonrelativistic domain, the effective method perfectly works in one space
dimension.
