Statistical mechanics of Ginzburg-Landau fields for weakly coupled chains

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Abstract
The free energy of a Ginzburg-Landau field describing a system of weakly coupled chains in a plane is identified with the ground-state energy of a linear array of quantum-mechanical anharmonic oscillators. The equivalent Hamiltonian is simplified for both real and complex fields using a truncated basis of states of the uncoupled oscillators. For the real field, the reduced Hamiltonian is solved, and the system is shown to have a logarithmic divergence in the specific heat similar to the anisotropic, two-dimensional Ising model.

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