Infrared Bound and Mean-Field Behaviour in the Quantum Ising Model
2013 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 323, no 1, 329-366 p.Article in journal (Refereed) Published
We prove an infrared bound for the transverse field Ising model. This bound is stronger than the previously known infrared bound for the model, and allows us to investigate mean-field behaviour. As an application we show that the critical exponent gamma for the susceptibility attains its mean-field value gamma = 1 in dimension at least 4 (positive temperature), respectively 3 (ground state), with logarithmic corrections in the boundary cases.
Place, publisher, year, edition, pages
2013. Vol. 323, no 1, 329-366 p.
IdentifiersURN: urn:nbn:se:uu:diva-206952DOI: 10.1007/s00220-013-1772-4ISI: 000322873800008OAI: oai:DiVA.org:uu-206952DiVA: diva2:646674