Publication: Critical properties of the antiferromagnetic RP^2 model in three dimensions
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1997-01-13
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Elsevier
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Abstract
We study the behavior of the antiferromagnetic RP^2 model in d = 3. The vacuum structure is analyzed in the critical and low temperature regions, paying special attention to the spontaneous symmetry breaking pattern. Near the critical point we observe a full breakdown of the 0(3) symmetry of the action. Several methods for computing critical exponents are compared. We conclude that the most solid determination is obtained using a measure of the correlation length. Corrections-to-scaling are parameterized, yielding a very accurate determination of the critical coupling and a 5% error measure of the related exponent. This is used to estimate the systematic errors due to finite-size effects.
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© 1997 Published by Elsevier Science B.V. We are indebted to A. Sokal for many suggestions. We also thank J.L. Alonso, J.M. Carmona, L.A. Ibort, J.J. Ruiz-Lorenzo and A. Tarancón for discussions. This work has been partially supported by CICyT AEN93-0604-C03-02 and AEN95-1284-E.