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Universality of one dimensional Fermi gas.

Mathematical Physics & Probability

Speaker: Pierluigi Falco, California State University Northridge
Location: 2112 MSB
Start time: Wed, May 29 2013, 4:10PM

One dimensional Fermi systems, such as the XYZ chain and the Hubbard model, have been playing an important role in our understanding of Quantum Statistical Mechanics. In particular, at zero temperature, their correlation length can be infinite and the corresponding critical properties are then described by a special universality class called "Luttinger Liquids". In the seminar I will review some of the conjectures proposed by physicists; and I will discuss new mathematical results about the critical exponents of such models.