Ballesteros, H. G.Fernández Pérez, Luis AntonioMartín Mayor, VíctorMuñoz Sudupe, Antonio2023-06-202023-06-201997-01-130550-321310.1016/S0550-3213(96)00555-Xhttps://hdl.handle.net/20.500.14352/60092© 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.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.engjournal articlehttp://doi.org/10.1016/S0550-3213(96)00555-Xhttp://www.sciencedirect.comopen access5351-73Monte-Carlo simulationsNonlinear Sigma-modelsRenormalization-groupPhase-transitionsCritical-behaviorHeisenberg-modelLatticeSystemsOrder.Física (Física)Física-Modelos matemáticos22 Física