Is the antiferromagnetic RP^(2) model in four dimensions trivial?



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Ballesteros, H. G. and Carmona, J. M. and Fernández Pérez, Luis Antonio and Martín Mayor, Víctor and Muñoz Sudupe, Antonio and Tarancón, A. (1997) Is the antiferromagnetic RP^(2) model in four dimensions trivial? Physical review D, 55 (8). pp. 5067-5074. ISSN 1550-7998

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We study the antiferromagnetic RP^(2) model in four dimensions. We find a second order transition with two order parameters, one ferromagnetic and the other antiferromagnetic. The antiferromagnetic sector has mean- field critical exponents and a renormalized coupling which goes to zero in the continuum limit. The exponents of the ferromagnetic channel are not the mean-field ones, but the difference can be interpreted as logarithmic corrections. We perform a detailed analysis of these corrections and conclude the triviality of the continuum limit of this model.

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© 1997 The American Physical Society. We thank J. L. Alonso and J. J. Ruiz-Lorenzo for many enlightening discussions. This work was partially supported by CICyT AEN93-0604, AEN94-0218, and AEN95-1284-E.

Uncontrolled Keywords:Stacked-triangular antiferromagnets; Lattice PHI-4 theory; One-component model; Scaling laws; Monte-Carlo; Renormalization-group; Phase; Bounds.
Subjects:Sciences > Physics
Sciences > Physics > Physics-Mathematical models
ID Code:41060
Deposited On:03 Feb 2017 10:43
Last Modified:03 Feb 2017 10:43

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