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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
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.
| Item Type: | Article |
|---|---|
| Additional Information: | © 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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