Integrable field theory and critical phenomena: the Ising model in a magnetic field
نویسندگان
چکیده
منابع مشابه
Integrable field theory and critical phenomena . The Ising model in a magnetic field
The two-dimensional Ising model is the simplest model of statistical mechanics exhibiting a second order phase transition. While in absence of magnetic field it is known to be solvable on the lattice since Onsager’s work of the forties, exact results for the magnetic case have been missing until the late eighties, when A. Zamolodchikov solved the model in a field at the critical temperature, di...
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1 Field Theory 2 1.1 Canonical Formalism . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Green’s Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 Euclidean Time Formulation . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.4 Example: Free Field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.5 Functional Integral Formulation...
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We reconsider Ising spins in a Gaussian random field within the replica formalism. The corresponding continuum model involves several coupling constants beyond the single one which was considered in the standard φ4 theory approach. These terms involve more than one replica, and therefore in a mean field theory they do not contribute to the zero-replica limit. However the fluctuations involving ...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2004
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/37/14/r01