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- W2073393221 abstract "Abstract We interpolate between the O ( N )- and the O ( N − 1)-symmetric non-linear σ-models with standard action by suppressing the N th component of the N -vector field with a mass term. We find a critical line in the coupling-mass plane connecting the critical point of the Ising model ( N = 1) with the critical point of the XY -model ( N = 2). This line extends towards the region of non-monotonous behaviour of the s-function of the O (3)-symmetric model. The massless phase of the XY -model is separated from the ordered phase of the Ising model by a transition at zero mass, while it is separated from the only phase of the O (3)-model by a transition that seems to occur at exponentially small mass." @default.
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- W2073393221 date "1991-05-01" @default.
- W2073393221 modified "2023-09-25" @default.
- W2073393221 title "Interpolating between O(N)-symmetric σ-models with N = 1,2,3" @default.
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- W2073393221 doi "https://doi.org/10.1016/0920-5632(91)91001-z" @default.
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