Abstract
Finite-size methods and the theory of conformal invariance are applied to the (1+1)DO(2) or X-Y planar model. The critical point is found to be xc approximately=2.0, the value sigma =0.501+or-0.005 is obtained for the index governing the critical divergence of the correlation length and the conformal anomaly is confirmed to be c=1. The Kosterlitz-Thouless features of a low-temperature phase with zero spontaneous magnetisation but algebraic decay of correlations, together with a standard high-temperature phase, are observed. The critical exponent eta is determined as a function of coupling constant and compared with theoretical expectations.
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