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Infrared Bound and Mean-Field Behaviour in the Quantum Ising Model
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
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
Abstract [en]

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.
National Category
Natural Sciences
URN: urn:nbn:se:uu:diva-206952DOI: 10.1007/s00220-013-1772-4ISI: 000322873800008OAI: oai:DiVA.org:uu-206952DiVA: diva2:646674
Available from: 2013-09-09 Created: 2013-09-09 Last updated: 2013-09-09Bibliographically approved

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Björnberg, Jakob E.
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