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We formulate a Ginzburg-Landau theory for the resonating-valence-bond model of antiferromagnetism and high-Tc superconductivity, the order parameters of which are complex link variables. We investigate the dynamics of their phase part using the Monte Carlo method and obtain an indication of a transition to a superconducting phase. When the doping parameter is zero, the theory becomes equivalent to a U(1) lattice gauge theory in two dimensions.
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Nakamura et al. (1988) studied this question.
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