Solvable models on regular and random lattices in statistical mechanics and field theory [ 2002-01-01 - 2004-12-31 ]

Research Grant

Researchers: Prof Rodney Baxter (Chief Investigator) ,  Vladimir Bazhanov (Chief Investigator)

Brief description Solvable models on regular and random lattices in statistical mechanics and field theory. There are only a few solvable models in statistical mechanics and field theory, but those that are known give deep insights into the cooperative behaviour that characterizes a critical point, as well as\r\nleading to fascinating mathematics. The two chief investigators have been at the forefront of this field for many years. Currently there are many notable exciting challenges they wish to address:\r\nthe relationship between Tutte's work on dichromatic polynomials and matrix models, the outstanding problem of calculating the order parameters of the chiral Potts model, and the eigenvalue spectra of the transfer matrices that occur in integrable models. \r\n

Funding Amount $318,000

Funding Scheme Discovery Projects

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