Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-09-28
J.Stat.Phys.79:799,1995
Physics
High Energy Physics
High Energy Physics - Theory
19 pages
Scientific paper
10.1007/BF02181204
The general one-dimensional ``log-sine'' gas is defined by restricting the positive and negative charges of a two-dimensional Coulomb gas to live on a circle. Depending on charge constraints, this problem is equivalent to different boundary field theories. We study the electrically neutral case, which is equivalent to a two-dimensional free boson with an impurity cosine potential. We use two different methods: a perturbative one based on Jack symmetric functions, and a non-perturbative one based on the thermodynamic Bethe ansatz and functional relations. The first method allows us to compute explicitly all coefficients in the virial expansion of the free energy and the experimentally-measurable conductance. Some results for correlation functions are also presented. The second method provides in particular a surprising fluctuation-dissipation relation between the free energy and the conductance.
Fendley Paul
Lesage François
Saleur Herbert
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