id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_m2s6q3id2zbhlo5vhgezscjbne	Axel Gelfert	Mathematical Rigor in Physics: Putting Exact Results in Their Place	2005	16	.pdf	application/pdf	6488	476	56	theorem, a rigorous result concerning the absence of phase transitions in (For a review see Griffiths 1972.) The result in question is the MerminWagner theorem, which rules out low-dimensional phase transitions for a variety As a case study, the example of the Mermin-Wagner theorem is of particular interest because it is fairly typical of the kind of exact result In certain cases, the relevant order parameter can be illustrated by reference to the corresponding many-body Hamiltonian. shortly before attention shifted towards quantum models following the realization that magnetic phase transitions cannot be accounted for by classical two-dimensional Heisenberg model does not allow for spontaneous ferromagnetic and antiferromagnetic order — the Mermin-Wagner theorem. How does the Mermin-Wagner theorem fit with the physics of phase transitions? Frequently, these methods 'violate' the Mermin-Wagner theorem, in that they do predict phase transitions	./cache/work_m2s6q3id2zbhlo5vhgezscjbne.pdf	./txt/work_m2s6q3id2zbhlo5vhgezscjbne.txt