Differences and analogies between quantum chromodynamics and\n ferromagnets

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