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Critical properties of the antiferromagnetic RP^2 model in three dimensions

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Ballesteros, H. G. and Fernández Pérez, Luis Antonio and Martín Mayor, Víctor and Muñoz Sudupe, Antonio (1997) Critical properties of the antiferromagnetic RP^2 model in three dimensions. Nuclear physics B, 483 (3). pp. 707-736. ISSN 0550-3213

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Official URL: http://doi.org/10.1016/S0550-3213(96)00555-X


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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.

Uncontrolled Keywords:Monte-Carlo simulations; Nonlinear Sigma-models; Renormalization-group; Phase-transitions; Critical-behavior; Heisenberg-model; Lattice; Systems; Order.
Subjects:Sciences > Physics
Sciences > Physics > Physics-Mathematical models
ID Code:41175
Deposited On:08 Feb 2017 12:59
Last Modified:08 Feb 2017 12:59

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